2.3.1 first order ode linear

Table 2.395: first order ode linear

#

ODE

CAS classification

Solved?

19

y=ysin(x)

[[_linear, ‘class A‘]]

20

y=x+y

[[_linear, ‘class A‘]]

21

y=ysin(x)

[[_linear, ‘class A‘]]

22

y=xy

[[_linear, ‘class A‘]]

23

y=yx+1

[[_linear, ‘class A‘]]

24

y=xy+1

[[_linear, ‘class A‘]]

25

y=x2y

[[_linear, ‘class A‘]]

26

y=x2y2

[[_linear, ‘class A‘]]

37

y=x+y
i.c.

[[_linear, ‘class A‘]]

38

y=yx
i.c.

[[_linear, ‘class A‘]]

41

y+2xy=0

[_separable]

43

y=ysin(x)

[_separable]

44

(x+1)y=4y

[_separable]

49

(x2+1)y=2y

[_separable]

57

y=1+x+y+xy

[_separable]

59

y=yex
i.c.

[_separable]

62

y=4x3yy
i.c.

[_separable]

64

tan(x)y=y
i.c.

[_separable]

65

y+xy=2x2y
i.c.

[_separable]

74

y2y=3e2x
i.c.

[[_linear, ‘class A‘]]

75

y+3y=2xe3x

[[_linear, ‘class A‘]]

76

y2xy=ex2

[_linear]

77

xy+2y=3x
i.c.

[_linear]

78

xy+5y=7x2
i.c.

[_linear]

79

2xy+y=10x

[_linear]

80

3xy+y=12x

[_linear]

81

y+xy=x
i.c.

[_linear]

82

2xy3y=9x3

[_linear]

83

xy+y=3xy
i.c.

[_separable]

84

xy+3y=2x5
i.c.

[_linear]

85

y+y=ex
i.c.

[[_linear, ‘class A‘]]

86

xy3y=x3
i.c.

[_linear]

87

y+2xy=x
i.c.

[_separable]

88

y=(1y)cos(x)
i.c.

[_separable]

89

(x+1)y+y=cos(x)
i.c.

[_linear]

90

xy=2y+x3cos(x)

[_linear]

91

y+ycot(x)=cos(x)

[_linear]

92

y=1+x+y+xy
i.c.

[_separable]

93

xy=3y+x4cos(x)
i.c.

[_linear]

94

y=2xy+3x2ex2
i.c.

[_linear]

95

xy+(2x3)y=4x4

[_linear]

96

(x2+4)y+3xy=x
i.c.

[_separable]

97

(x2+1)y+3x3y=6xe3x22
i.c.

[_linear]

98

14xy2x=y3

[_linear]

99

x+yeyx=1

[[_linear, ‘class A‘]]

100

1+2xyx=y2+1

[_linear]

101

y=2xy+1

[_linear]

102

2xy=y+2xcos(x)
i.c.

[_linear]

103

y+p(x)y=0

[_separable]

104

y+p(x)y=q(x)

[_linear]

146

2x5/23y5/32x5/2y2/3+(3y5/32x5/2)y3x3/2y5/3=0

[[_1st_order, _with_linear_symmetries], _exact, _rational]

179

x3+3yxy=0

[_linear]

183

3y+x4y=2xy

[_separable]

185

2x2y+x3y=1

[_linear]

193

y+3y=3x2e3x

[[_linear, ‘class A‘]]

198

xy+3y=3x3/2

[_linear]

199

(x21)y+(1+x)y=1

[_linear]

203

2y+(x+1)y=3x+3

[_linear]

206

xy+y=2e2x

[_linear]

207

(2x+1)y+y=(2x+1)3/2

[_linear]

209

y=3(y+7)x2

[_separable]

213

y=2xy+2xx2+1

[_separable]

661

y=ysin(x)

[[_linear, ‘class A‘]]

662

y=x+y

[[_linear, ‘class A‘]]

663

y=ysin(x)

[[_linear, ‘class A‘]]

664

y=xy

[[_linear, ‘class A‘]]

665

y=yx+1

[[_linear, ‘class A‘]]

666

y=xy+1

[[_linear, ‘class A‘]]

667

y=x2y

[[_linear, ‘class A‘]]

668

y=x2y2

[[_linear, ‘class A‘]]

677

y+2xy=0

[_separable]

679

y=ysin(x)

[_separable]

680

(x+1)y=4y

[_separable]

685

(x2+1)y=2y

[_separable]

692

y=1+x+y+xy

[_separable]

694

y=yex
i.c.

[_separable]

697

y=4x3yy
i.c.

[_separable]

699

tan(x)y=y
i.c.

[_separable]

700

y+xy=2x2y
i.c.

[_separable]

705

y2y=3e2x
i.c.

[[_linear, ‘class A‘]]

706

y+3y=2xe3x

[[_linear, ‘class A‘]]

707

y2xy=ex2

[_linear]

708

xy+2y=3x
i.c.

[_linear]

709

2xy+y=10x
i.c.

[_linear]

710

2xy+y=10x

[_linear]

711

3xy+y=12x

[_linear]

712

y+xy=x
i.c.

[_linear]

713

2xy3y=9x3

[_linear]

714

xy+y=3xy
i.c.

[_separable]

715

xy+3y=2x5
i.c.

[_linear]

716

y+y=ex
i.c.

[[_linear, ‘class A‘]]

717

xy3y=x3
i.c.

[_linear]

718

y+2xy=x
i.c.

[_separable]

719

y=(1y)cos(x)
i.c.

[_separable]

720

(x+1)y+y=cos(x)
i.c.

[_linear]

721

xy=2y+x3cos(x)

[_linear]

722

y+ycot(x)=cos(x)

[_linear]

723

y=1+x+y+xy
i.c.

[_separable]

724

xy=3y+x4cos(x)
i.c.

[_linear]

725

y=2xy+3x2ex2
i.c.

[_linear]

726

xy+(2x3)y=4x4

[_linear]

727

(x2+4)y+3xy=x
i.c.

[_separable]

728

(x2+1)y+3x3y=6xe3x22
i.c.

[_linear]

770

2x5/23y5/32x5/2y2/3+(3y5/32x5/2)y3x3/2y5/3=0

[[_1st_order, _with_linear_symmetries], _exact, _rational]

771

x3+3yxy=0

[_linear]

775

3y+x4y=2xy

[_separable]

777

2x2y+x3y=1

[_linear]

785

y+3y=3x2e3x

[[_linear, ‘class A‘]]

790

xy+3y=3x3/2

[_linear]

791

(x21)y+(1+x)y=1

[_linear]

795

2y+(x+1)y=3x+3

[_linear]

798

xy+y=2e2x

[_linear]

799

(2x+1)y+y=(2x+1)3/2

[_linear]

800

y=3(y+7)x2

[_separable]

801

y=3(y+7)x2

[_separable]

805

y=2xy+2xx2+1

[_separable]

1098

3y+y=e2t+t

[[_linear, ‘class A‘]]

1099

2y+y=e2tt2

[[_linear, ‘class A‘]]

1100

y+y=1+tet

[[_linear, ‘class A‘]]

1101

yt+y=3cos(2t)

[_linear]

1102

2y+y=3et

[[_linear, ‘class A‘]]

1103

2y+ty=sin(t)

[_linear]

1104

2ty+y=2tet2

[_linear]

1105

4ty+(t2+1)y=1(t2+1)2

[_linear]

1106

y+2y=3t

[[_linear, ‘class A‘]]

1107

y+ty=t2et

[_linear]

1108

y+y=5sin(2t)

[[_linear, ‘class A‘]]

1109

y+2y=3t2

[[_linear, ‘class A‘]]

1110

y+y=2e2tt
i.c.

[[_linear, ‘class A‘]]

1111

2y+y=te2t
i.c.

[[_linear, ‘class A‘]]

1112

2y+ty=t2t+1
i.c.

[_linear]

1113

2yt+y=cos(t)t2
i.c.

[_linear]

1114

2y+y=e2t
i.c.

[[_linear, ‘class A‘]]

1115

2y+ty=sin(t)
i.c.

[_linear]

1116

4t2y+t3y=et
i.c.

[_linear]

1117

(t+1)y+ty=t
i.c.

[_linear]

1118

y2+y=2cos(t)
i.c.

[[_linear, ‘class A‘]]

1119

y+2y=et3
i.c.

[[_linear, ‘class A‘]]

1120

2y+3y=eπt2
i.c.

[[_linear, ‘class A‘]]

1121

(t+1)y+ty=2tet
i.c.

[_linear]

1122

2y+ty=sin(t)t
i.c.

[_linear]

1123

cos(t)y+sin(t)y=et
i.c.

[_linear]

1124

y2+y=2cos(t)
i.c.

[[_linear, ‘class A‘]]

1125

2y3+y=1t2

[[_linear, ‘class A‘]]

1126

y4+y=3+2cos(2t)
i.c.

[[_linear, ‘class A‘]]

1127

y+y=1+3sin(t)

[[_linear, ‘class A‘]]

1128

3y2+y=2et+3t

[[_linear, ‘class A‘]]

1166

ln(t)y+(t3)y=2t

[_linear]

1167

y+(4+t)ty=0
i.c.

[_separable]

1168

tan(t)y+y=sin(t)
i.c.

[_linear]

1169

2ty+(t2+4)y=3t2
i.c.

[_linear]

1170

2ty+(t2+4)y=3t2
i.c.

[_linear]

1171

y+ln(t)y=cot(t)

[_linear]

1196

2y+2xy2+(2x+2x2y)y=0

[_separable]

1202

yx+6x+(ln(x)2)y=0

[_linear]

1211

y=1+e2x+y

[[_linear, ‘class A‘]]

1218

y=x32yx

[_linear]

1221

y=36x+y2xy

[_separable]

1223

xy+xy=1y
i.c.

[_linear]

1225

xy+2y=sin(x)x
i.c.

[_linear]

1229

y+y=1ex+1

[_linear]

1232

(ex+1)y=yyex

[_separable]

1234

y=e2x+3y

[[_linear, ‘class A‘]]

1235

2y+y=ex22x

[[_linear, ‘class A‘]]

1240

(t+1)y+ty=e2t

[_linear]

1245

3t+2y=ty

[_linear]

1520

xy+y=x2

[_linear]

1521

y+2xy=x

[_separable]

1530

y=cos(x)ytan(x)
i.c.

[_linear]

1531

y=x22x2y+2x3
i.c.

[_linear]

1538

y+3x2y=0

[_separable]

1539

xy+yln(x)=0

[_separable]

1540

xy+3y=0

[_separable]

1541

x2y+y=0

[_separable]

1542

y+(x+1)yx=0
i.c.

[_separable]

1543

xy+(1+1ln(x))y=0
i.c.

[_separable]

1544

xy+(1+xcot(x))y=0
i.c.

[_separable]

1545

y2xyx2+1=0
i.c.

[_separable]

1546

y+kyx=0
i.c.

[_separable]

1547

y+tan(kx)y=0
i.c.

[_separable]

1549

y+(1x1)y=2x

[_linear]

1550

y+2xy=xex2

[_linear]

1551

y+2xyx2+1=ex2x2+1

[_linear]

1552

y+yx=7x2+3

[_linear]

1553

y+4y1+x=1(1+x)5+sin(x)(1+x)4

[_linear]

1554

xy+(2x2+1)y=x3ex2

[_linear]

1555

xy+2y=2x2+1

[_linear]

1556

y+ytan(x)=cos(x)

[_linear]

1557

2y+(x+1)y=sin(x)x+1

[_linear]

1558

(2+x)(1+x)y(4x3)y=(2+x)3

[_linear]

1559

y+2sin(x)cos(x)y=esin(x)2

[_linear]

1560

x2y+3xy=ex

[_linear]

1561

y+7y=e3x
i.c.

[[_linear, ‘class A‘]]

1562

(x2+1)y+4xy=2x2+1
i.c.

[_linear]

1563

xy+3y=2x(x2+1)
i.c.

[_linear]

1564

y+ycot(x)=cos(x)
i.c.

[_linear]

1565

y+yx=2x2+1
i.c.

[_linear]

1566

(1+x)y+3y=1(1+x)3+sin(x)(1+x)2
i.c.

[_linear]

1567

xy+2y=8x2
i.c.

[_linear]

1568

xy2y=x2
i.c.

[_linear]

1569

y+2xy=x
i.c.

[_separable]

1570

(1+x)y+3y=1+(1+x)sec(x)2(1+x)3
i.c.

[_linear]

1571

(x+2)y+4y=2x2+1x(x+2)3
i.c.

[_linear]

1572

(x21)y2xy=x(x21)
i.c.

[_linear]

1573

xy2y=1
i.c.

[_separable]

1584

(x2+1)y+xy=0

[_separable]

1591

y+2x(y+1)=0
i.c.

[_separable]

1599

(x+1)(2+x)y+y=0
i.c.

[_separable]

1613

y=2xy

[_separable]

1642

y=x+yx

[_linear]

1680

6y2x2+4x3yy=0

[_separable]

1681

3ycos(x)+4xex+2x3y+(3sin(x)+3)y=0

[_linear]

1700

sin(x)ysin(x)2cos(x)+cos(x)y=0
i.c.

[_linear]

1701

(2x1)(y1)+(x+2)(x3)y=0
i.c.

[_separable]

1713

yxy=0

[_separable]

1714

3x2y+2x3y=0

[_separable]

1716

5xy+2y+5+2xy=0

[_linear]

1717

xy+x+2y+1+(x+1)y=0

[_linear]

1722

x2y+4xy+2y+(x2+x)y=0

[_separable]

1723

y+(x4x)y=0

[_separable]

1730

acos(x)yy2sin(x)+(bcos(x)yxsin(x)y)y=0

[_linear]

1731

x4y4+x5y3y=0

[_separable]

2294

y+sin(t)y=0
i.c.

[_separable]

2295

y+et2y=0
i.c.

[_separable]

2296

y2ty=t

[_separable]

2297

2ty+y=t
i.c.

[_separable]

2298

y+y=1t2+1
i.c.

[_linear]

2299

cos(t)y+y=0

[_separable]

2300

tsin(t)y+y=0

[_separable]

2301

2tyt2+1+y=1t2+1

[_linear]

2302

y+y=tet

[[_linear, ‘class A‘]]

2303

t2y+y=1

[_linear]

2304

t2y+y=t2

[_separable]

2305

tyt2+1+y=1t3yt4+1

[_linear]

2306

t2+1y+y=0
i.c.

[_separable]

2307

t2+1yet+y=0

[_separable]

2308

y2ty=t
i.c.

[_separable]

2309

ty+y=t+1
i.c.

[_linear]

2310

y+y=1t2+1
i.c.

[_linear]

2311

y2ty=1
i.c.

[_linear]

2312

ty+(t2+1)y=(t2+1)5/2

[_linear]

2313

4ty+(t2+1)y=t
i.c.

[_separable]

2314

yt+y=1t2

[_linear]

2315

y+yt=et2

[_linear]

2316

yt+y=cos(t)+sin(t)t

[_linear]

2317

tan(t)y+y=cos(t)sin(t)

[_linear]

2319

y=(t+1)(y+1)

[_separable]

2329

3ty=cos(t)y
i.c.

[_separable]

2342

2ty3+3t2y2y=0
i.c.

[_separable]

2360

y=t(y+1)
i.c.

[_separable]

2472

cos(t)y+y=0

[_separable]

2473

tsin(t)y+y=0

[_separable]

2474

2tyt2+1+y=1t2+1

[_linear]

2475

y+y=tet

[[_linear, ‘class A‘]]

2476

t2y+y=1

[_linear]

2477

t2y+y=t2

[_separable]

2478

tyt2+1+y=1t3yt4+1

[_linear]

2479

t2+1y+y=0
i.c.

[_separable]

2480

t2+1yet+y=0
i.c.

[_separable]

2481

t2+1yet+y=0
i.c.

[_separable]

2482

y2ty=t
i.c.

[_separable]

2483

ty+y=t+1
i.c.

[_linear]

2484

y+y=1t2+1
i.c.

[_linear]

2485

y2ty=1
i.c.

[_linear]

2486

ty+(t2+1)y=(t2+1)5/2

[_linear]

2487

4ty+(t2+1)y=t
i.c.

[_separable]

2488

y+y={20t101<t
i.c.

[[_linear, ‘class A‘]]

2490

y=(t+1)(y+1)

[_separable]

2500

3ty=cos(t)y
i.c.

[_separable]

2514

2ty3+3t2y2y=0
i.c.

[_separable]

2519

y=2t(y+1)
i.c.

[_separable]

2535

y=t(y+1)
i.c.

[_separable]

2841

(x2+1)y+xy=0

[_separable]

2844

xy+y=0

[_separable]

2845

y=2xy

[_separable]

2848

(x+1)y1+y=0

[_separable]

2849

tan(x)yy=1

[_separable]

2850

y+3+cot(x)y=0

[_separable]

2857

xy+x2+1y=0

[_separable]

2858

y=xy+x2y

[_separable]

2861

y=yx
i.c.

[_separable]

2862

xy+2y=0
i.c.

[_separable]

2871

x+y=xy

[_linear]

2922

yex2x+exy=0

[[_linear, ‘class A‘]]

2925

2yyx2+(1x2xy2)y=0

[_separable]

2937

xy+ln(x)y=0

[_linear]

2953

y(x21)+x(x2+1)y=0
i.c.

[_separable]

2958

xy+2y=x2

[_linear]

2959

yxy=ex22cos(x)

[_linear]

2960

y+2xy=2xex2

[_linear]

2961

y=y+3x2ex

[[_linear, ‘class A‘]]

2962

x+x=ey

[[_linear, ‘class A‘]]

2963

xy+(1+y)x=ey

[_linear]

2965

xy2x42y=0

[_linear]

2967

y2x+(y2+2y)x=1

[_linear]

2968

xy=5y+x+1

[_linear]

2969

x2y+y2xy2x2=0

[_linear]

2970

2y+(x+1)y=exx+1

[_linear]

2973

cos(θ)r=2+2rsin(θ)

[_linear]

2974

sin(θ)r+1+rtan(θ)=cos(θ)

[_linear]

2975

xy=2ye3y+x(3y+2)

[_linear]

2977

y+ycot(x)sec(x)=0

[_linear]

2979

2yxy3+xy=0
i.c.

[_linear]

2981

(x21)y+(x21)2+4y=0
i.c.

[_linear]

3004

(1x)yy1=0

[_separable]

3007

xln(x)y+yx=0

[_linear]

3020

r=rcot(θ)

[_separable]

3027

y+x+ycot(x)=0

[_linear]

3046

xy=x4+4y
i.c.

[_linear]

3051

2y+y=3e2x
i.c.

[[_linear, ‘class A‘]]

3055

2xy2y+1+x(1+x)y=0
i.c.

[_linear]

3169

y+P(x)y=Q(x)

[_linear]

3293

y3+(x+y2xy)y22yxy(x+y)=0

[_quadrature]

3334

y22xyy+y2(x21)=0

[_separable]

3409

y=xy

[_separable]

3431

y=yt

[_separable]

3438

y=(t2+1)y

[_separable]

3440

y=2y+e3t

[[_linear, ‘class A‘]]

3441

y=2y+e2t

[[_linear, ‘class A‘]]

3442

y=y+t

[[_linear, ‘class A‘]]

3443

2y+ty=sin(t)

[_linear]

3444

y=tan(t)y+sec(t)

[_linear]

3445

y=2tyt2+1+t+1

[_linear]

3446

y=tan(t)y+sec(t)3

[_linear]

3449

ty=y+t3
i.c.

[_linear]

3450

y=tan(t)y+sec(t)
i.c.

[_linear]

3451

y=2yt+1
i.c.

[_separable]

3452

ty=y+t3
i.c.

[_linear]

3453

y+4tan(2t)y=tan(2t)
i.c.

[_separable]

3454

tln(t)y=tln(t)y
i.c.

[_linear]

3455

y=2yt2+1+3
i.c.

[_linear]

3456

y=cot(t)y+6cos(t)2
i.c.

[_linear]

3458

ytan(x)yx2+1=0

[_separable]

3461

2xy+3x+y=0

[_linear]

3463

(x2+1)y+4xy=(x2+1)3/2

[_linear]

3464

yycot(x)+1sin(x)=0

[_linear]

3472

y+xya2+x2=x

[_linear]

3474

yyx=1
i.c.

[_linear]

3475

yytan(x)=1
i.c.

[_linear]

3478

sin(x)y+2ycos(x)=1
i.c.

[_linear]

3515

y=2xy

[_separable]

3518

y=yln(x)x

[_separable]

3519

y(2+x)y=0

[_separable]

3520

y=2x(y1)x2+3

[_separable]

3521

yxy=32x2y

[_separable]

3524

y=x2y32x2+16+32

[_linear]

3525

(xa)(xb)yy+c=0

[_separable]

3527

(x2+1)y+xy=ax
i.c.

[_separable]

3530

yy=e2x

[[_linear, ‘class A‘]]

3531

x2y4xy=x7sin(x)

[_linear]

3532

y+2xy=2x3

[_linear]

3533

y+2xyx2+1=4x

[_linear]

3534

y+2xyx2+1=4(x2+1)2

[_linear]

3535

2cos(x)2y+ysin(2x)=4cos(x)4

[_linear]

3536

y+yln(x)x=9x2

[_linear]

3537

yytan(x)=8sin(x)3

[_linear]

3538

tx+2x=4et

[_linear]

3539

y=sin(x)(ysec(x)2)

[_linear]

3540

1ysin(x)cos(x)y=0

[_linear]

3541

yyx=2x2ln(x)

[_linear]

3542

y+αy=eβx

[[_linear, ‘class A‘]]

3562

y=y2x

[_separable]

3593

y=2xy

[_separable]

3596

y=yln(x)x

[_separable]

3597

y(1+x)y=0

[_separable]

3598

y=2x(y1)x2+3

[_separable]

3599

yxy=32x2y

[_separable]

3602

y=x2y32x2+16+2

[_separable]

3603

(xa)(xb)yy+c=0

[_separable]

3605

(x2+1)y+xy=ax
i.c.

[_separable]

3610

y+y=4ex

[[_linear, ‘class A‘]]

3611

y+2yx=5x2

[_linear]

3612

x2y4xy=x7sin(x)

[_linear]

3613

y+2xy=2x3

[_linear]

3614

y+2xyx2+1=4x

[_linear]

3615

y+2xyx2+1=4(x2+1)2

[_linear]

3616

2cos(x)2y+ysin(2x)=4cos(x)4

[_linear]

3617

y+yln(x)x=9x2

[_linear]

3618

yytan(x)=8sin(x)3

[_linear]

3619

tx+2x=4et

[_linear]

3620

y=sin(x)(ysec(x)2)

[_linear]

3621

1ysin(x)cos(x)y=0

[_linear]

3622

yyx=2x2ln(x)

[_linear]

3623

y+αy=eβx

[[_linear, ‘class A‘]]

3624

y+myx=ln(x)

[_linear]

3625

y+2yx=4x
i.c.

[_linear]

3626

sin(x)yycos(x)=sin(2x)
i.c.

[_linear]

3627

x+2x4t=5
i.c.

[_linear]

3628

yex+y=0
i.c.

[[_linear, ‘class A‘]]

3629

y2y={1x101<x
i.c.

[[_linear, ‘class A‘]]

3630

y2y={1xx<101x
i.c.

[[_linear, ‘class A‘]]

3632

y+yx=cos(x)

[_linear]

3633

y+y=e2x

[[_linear, ‘class A‘]]

3634

y+ycot(x)=2cos(x)

[_linear]

3635

y+xy=x2ln(x)

[_linear]

3642

y(x2y2)x(x2y2)y=0

[_separable]

3972

y+y={20t<111t
i.c.

[[_linear, ‘class A‘]]

4093

3y2x+(3x2)y=0

[_linear]

4097

y=y2xx

[_linear]

4100

y+y=x2+2

[[_linear, ‘class A‘]]

4101

yytan(x)=x
i.c.

[_linear]

4104

xy=x+y
i.c.

[_linear]

4107

y3y=e3x+e3x
i.c.

[[_linear, ‘class A‘]]

4109

xy+2y=(3x+2)e3x
i.c.

[_linear]

4116

cos(x)y+ysin(x)=1
i.c.

[_linear]

4191

yy=x3

[[_linear, ‘class A‘]]

4192

y+ycot(x)=x

[_linear]

4193

y+ycot(x)=tan(x)

[_linear]

4194

y+ytan(x)=cot(x)

[_linear]

4195

y+yln(x)=xx

[_linear]

4196

xy+y=x

[_linear]

4197

y+xy=x3

[_linear]

4198

xy+ny=xn

[_linear]

4199

xyny=xn

[_linear]

4200

(x3+x)y+y=x

[_linear]

4201

cot(x)y+y=x

[_linear]

4202

cot(x)y+y=tan(x)

[_linear]

4203

tan(x)y+y=cot(x)

[_linear]

4204

tan(x)y=ycos(x)

[_linear]

4205

y+ycos(x)=sin(2x)

[_linear]

4206

cos(x)y+y=sin(2x)

[_linear]

4207

y+ysin(x)=sin(2x)

[_linear]

4208

sin(x)y+y=sin(2x)

[_linear]

4209

x2+1y+y=2x

[_linear]

4210

x2+1yy=2x2+1

[_linear]

4211

(x+a)(x+b)(2y3)+y=0

[_linear]

4212

(x+a)(x+b)y+y=x+ax+b

[_linear]

4219

xy=y

[_separable]

4220

(1x)y=y

[_separable]

4221

y=4xyx2+1

[_separable]

4222

y=2yx21

[_separable]

4224

y+2xy=0
i.c.

[_separable]

4225

cot(x)y=y
i.c.

[_separable]

4227

y2xy=2x
i.c.

[_separable]

4228

xy=xy+y
i.c.

[_separable]

4233

(1x)y=xy

[_separable]

4234

(x21)y=(x2+1)y

[_separable]

4254

y+ycos(xy)+(x+xcos(xy))y=0

[_separable]

4257

sin(xy)y+xsin(xy)yy2=0

[_separable]

4258

1+y+(1x)y=0

[_separable]

4269

xy3y=x4

[_linear]

4270

y+y=11+e2x

[_linear]

4271

(x2+1)y+2xy=cot(x)

[_linear]

4272

y+y=2xex+x2

[[_linear, ‘class A‘]]

4273

y+ycot(x)=2xcsc(x)

[_linear]

4274

2yx3=xy

[_linear]

4280

xy+y=xcos(x)

[_linear]

4283

x2+y=xy

[_linear]

4284

xy+y=x2cos(x)

[_linear]

4289

y+2xy=ex2

[_linear]

4291

(x2+1)y+2xy=4x3

[_linear]

4295

2xy+x2y=0

[_separable]

4297

ln(x)y+x+yx=0

[_linear]

4359

1+ycos(x)sin(x)y=0

[_linear]

4367

(2x+3)y=y+2x+3

[_linear]

4369

y=1+3ytan(x)

[_linear]

4370

(cos(x)+1)y=sin(x)(sin(x)+sin(x)cos(x)y)

[_linear]

4371

y=(sin(x)2y)cos(x)

[_linear]

4372

(x+1)yy=x(x+1)2

[_linear]

4398

y=y+2x+1

[_separable]

4404

y1xy+xy=0

[_linear]

4412

xy+2x3y+x2y=0

[_separable]

4437

ysin(x)+cos(x)2cos(x)y=0

[_linear]

4440

(cos(x)+1)y+sin(x)(sin(x)+sin(x)cos(x)y)=0

[_linear]

4609

y=x+sin(x)+y

[[_linear, ‘class A‘]]

4610

y=x2+3cosh(x)+2y

[[_linear, ‘class A‘]]

4611

y=a+bx+cy

[[_linear, ‘class A‘]]

4612

y=acos(bx+c)+ky

[[_linear, ‘class A‘]]

4613

y=asin(bx+c)+ky

[[_linear, ‘class A‘]]

4614

y=a+bekx+cy

[[_linear, ‘class A‘]]

4615

y=x(x2y)

[_linear]

4616

y=x(ex2+ay)

[_linear]

4617

y=x2(ax3+by)

[_linear]

4618

y=axny

[_separable]

4619

y=sin(x)cos(x)+ycos(x)

[_linear]

4620

y=esin(x)+ycos(x)

[_linear]

4621

y=ycot(x)

[_separable]

4622

y=1ycot(x)

[_linear]

4623

y=xcsc(x)ycot(x)

[_linear]

4624

y=(2csc(2x)+cot(x))y

[_separable]

4625

y=sec(x)ycot(x)

[_linear]

4626

y=exsin(x)+ycot(x)

[_linear]

4627

y+csc(x)+2ycot(x)=0

[_linear]

4628

y=4csc(x)xsec(x)22ycot(2x)

[_linear]

4629

y=2cot(x)2cos(2x)2ycsc(2x)

[_linear]

4630

y=4csc(x)x(sin(x)3+y)

[_linear]

4631

y=4csc(x)x(1tan(x)2+y)

[_linear]

4632

y=ysec(x)

[_separable]

4633

y+tan(x)=(1y)sec(x)

[_linear]

4634

y=ytan(x)

[_separable]

4635

y=cos(x)+ytan(x)

[_linear]

4636

y=cos(x)ytan(x)

[_linear]

4637

y=sec(x)ytan(x)

[_linear]

4638

y=sin(2x)+ytan(x)

[_linear]

4639

y=sin(2x)ytan(x)

[_linear]

4640

y=sin(x)+2ytan(x)

[_linear]

4641

y=2+2sec(2x)+2ytan(2x)

[_linear]

4642

y=csc(x)+3ytan(x)

[_linear]

4643

y=(a+cos(ln(x))+sin(ln(x)))y

[_separable]

4644

y=6e2xytanh(x)

[_linear]

4645

y=f(x)f(x)+f(x)y

[_linear]

4646

y=f(x)+g(x)y

[_linear]

4679

y=sin(x)(2sec(x)2y)

[_linear]

4681

y=ysec(x)+(sin(x)1)2

[_linear]

4738

y=sec(x)2+ysec(x)Csx(x)

[_linear]

4743

y+x+xy=0

[_linear]

4744

xy+x2y=0

[_linear]

4745

xy=x3y

[_linear]

4746

xy=1+x3+y

[_linear]

4747

xy=xm+y

[_linear]

4748

xy=xsin(x)y

[_linear]

4749

xy=x2sin(x)+y

[_linear]

4750

xy=xnln(x)y

[_linear]

4751

xy=sin(x)2y

[_linear]

4752

xy=ay

[_separable]

4753

xy=1+x+ay

[_linear]

4754

xy=ax+by

[_linear]

4755

xy=ax2+by

[_linear]

4756

xy=a+bxn+cy

[_linear]

4757

xy+2+(3x)y=0

[_linear]

4758

xy+x+(ax+2)y=0

[_linear]

4759

xy+(bx+a)y=0

[_separable]

4760

xy=x3+(2x2+1)y

[_linear]

4761

xy=ax(bx2+1)y

[_linear]

4762

xy+x+(ax2+2)y=0

[_linear]

4821

(x+1)y=x3(4+3x)+y

[_linear]

4822

(x+1)y=(x+1)4+2y

[_linear]

4823

(x+1)y=ex(x+1)n+1+ny

[_linear]

4829

(x+a)y=bx+y

[_linear]

4830

(x+a)y+bx2+y=0

[_linear]

4831

(x+a)y=2(x+a)5+3y

[_linear]

4832

(x+a)y=b+cy

[_separable]

4833

(x+a)y=bx+cy

[_linear]

4836

2xy=2x3y

[_linear]

4842

(12x)y=16+32x6y

[_linear]

4844

2(1x)y=4x1x+y

[_linear]

4849

x2y=y+a

[_separable]

4850

x2y=a+bx+cx2+xy

[_linear]

4851

x2y=a+bx+cx2xy

[_linear]

4852

x2y+(12x)y=x2

[_linear]

4853

x2y=a+bxy

[_linear]

4854

x2y=(bx+a)y

[_separable]

4855

x2y+x(x+2)y=x(1e2x)2

[_linear]

4856

x2y+2x(1x)y=ex(2ex1)

[_linear]

4877

(x2+1)y=1x2+y

[_linear]

4878

(x2+1)y+1=xy

[_linear]

4879

(x2+1)y=5xy

[_linear]

4880

(x2+1)y+a+xy=0

[_linear]

4881

(x2+1)y+axy=0

[_linear]

4882

(x2+1)y+axy=0

[_linear]

4883

(x2+1)yx+xy=0

[_separable]

4884

(x2+1)yx2+xy=0

[_linear]

4885

(x2+1)y+x2+xy=0

[_linear]

4886

(x2+1)y=x(x2+1)xy

[_linear]

4887

(x2+1)y=x(3x2y)

[_linear]

4888

(x2+1)y+2xy=0

[_separable]

4889

(x2+1)y=2x(xy)

[_linear]

4890

(x2+1)y=2x(x2+1)2+2xy

[_linear]

4891

(x2+1)y+cos(x)=2xy

[_linear]

4892

(x2+1)y=tan(x)2xy

[_linear]

4893

(x2+1)y=a+4xy

[_linear]

4894

(x2+1)y=(2bx+a)y

[_separable]

4903

(x2+1)y=1+x2yarccot(x)

[_linear]

4905

(a2+x2)y=b+xy

[_linear]

4906

(a2+x2)y=(b+y)(x+a2+x2)

[_separable]

4910

x(1x)y=a+(x+1)y

[_linear]

4911

x(1x)y=2+2xy

[_linear]

4912

x(1x)y=2xy2

[_linear]

4913

x(x+1)y=(12x)y

[_separable]

4914

x(1x)y+(2x+1)y=a

[_linear]

4915

x(1x)y=a+2(2x)y

[_linear]

4916

x(1x)y+23xy+y=0

[_linear]

4917

x(x+1)y=(x+1)(x21)+(x2+x1)y

[_linear]

4918

(2+x)(x3)y+x28y+3xy=0

[_linear]

4920

(x+a)2y=2(x+a)(b+y)

[_separable]

4922

(xa)(xb)y+ky=0

[_separable]

4923

(xa)(xb)y=(xa)(xb)+(2xab)y

[_linear]

4927

2x2y=y

[_separable]

4928

2x2y+xcot(x)1+2x2ycot(x)=0

[_linear]

4931

2(x2+1)y=x2+1+(x+1)y

[_linear]

4932

x(12x)y+1+(14x)y=0

[_linear]

4934

2x(1x)y+x+(12x)y=0

[_linear]

4936

2(x2+x+1)y=1+8x2(2x+1)y

[_linear]

4937

4(x2+1)y4xyx2=0

[_linear]

4941

x(ax+1)y+ay=0

[_separable]

4943

x3y=a+bx2y

[_linear]

4944

x3y=3x2+x2y

[_linear]

4953

x(x2+1)y=ax2+y

[_linear]

4954

x(x2+1)y=ax2+y

[_linear]

4955

x(x2+1)y=ax3+y

[_linear]

4956

x(x2+1)y=ax2y

[_linear]

4957

x(x2+1)y=(x2+1)y

[_separable]

4958

x(x2+1)y=(x2x+1)y

[_separable]

4959

x(x2+1)y=ax3+(2x2+1)y

[_linear]

4960

x(x2+1)y=x3(x2+1)+(2x2+1)y

[_linear]

4961

x(x2+1)y=24x2y

[_linear]

4962

x(x2+1)y=x(5x2+3)y

[_linear]

4973

x(x3+1)y=2x(4x3+1)y

[_linear]

4976

x(2x3+1)y=2(x3+1)y

[_separable]

4978

x5y=13x4y

[_linear]

4981

xny=a+bxn1y

[_linear]

4987

x2+1y=2xy

[_linear]

4990

ya2+x2+x+y=a2+x2

[_linear]

5009

(14cos(x)2)y=tan(x)(1+4cos(x)2)y

[_separable]

5010

(1sin(x))y+ycos(x)=0

[_separable]

5011

(cos(x)sin(x))y+y(cos(x)+sin(x))=0

[_separable]

5012

(a0+a1sin(x)2)y+a2x(a3+a1sin(x)2)+a1ysin(2x)=0

[_linear]

5013

(xex)y+xex+(1ex)y=0

[_linear]

5014

xln(x)y=ax(1+ln(x))y

[_linear]

5036

1y=x+y

[[_linear, ‘class A‘]]

5134

(x+a)(x+b)y=xy

[_separable]

5345

y2=y2x2

[_separable]

5391

y2+yy=(x+y)x

[_quadrature]

5404

y2(2xy+1)y+2xy=0

[_quadrature]

5406

y2(xy)yyxy3=0

[_separable]

5409

y2xy(x2+y2)y+x4y4=0

[_separable]

5411

y2+2yycot(x)y2=0

[_separable]

5451

xy2(2x+3y)y+6y=0

[_quadrature]

5455

xy2+(1x)yyy2=0

[_quadrature]

5456

xy2+(1x2y)yxy=0

[_quadrature]

5476

x2y2xy+y(1y)=0

[_separable]

5501

(a2x2)y22xyyy2=0

[_separable]

5503

4x2y24xyy=8x3y2

[_linear]

5615

y3(2x+y2)y2+(x2y2+2xy2)y(x2y2)y2=0

[_quadrature]

5616

y3(y2+xy+x2)y2+xy(y2+xy+x2)yx3y3=0

[_quadrature]

5624

xy3(x+x2+y)y2+(x2+y+xy)yxy=0

[_quadrature]

5685

yln(y)+yyln(y)xy=0

[_separable]

5692

y2yx+1=(x+1)2

[_linear]

5712

y+xyx2+1=12x(x2+1)

[_linear]

5713

x(x2+1)y+(2x21)y=ax3

[_linear]

5714

y+y(x2+1)3/2=x+x2+1(x2+1)2

[_linear]

5715

y+ycos(x)=sin(2x)2

[_linear]

5716

(x2+1)y+y=arctan(x)

[_linear]

5770

yxyy2+y=yxy1+x2y

[_separable]

5791

7y3+(2x+1)y=0

[_separable]

5839

xy+y=x3

[_linear]

5842

x+2xy=ey2

[_linear]

5843

r=(r+eθ)tan(θ)

[_linear]

5844

y2xyx2+1=1

[_linear]

5847

tan(θ)rr=tan(θ)2

[_linear]

5848

2y+y=3e2x

[[_linear, ‘class A‘]]

5849

2y+y=3e2x4

[[_linear, ‘class A‘]]

5850

2y+y=sin(x)

[[_linear, ‘class A‘]]

5851

y+ycos(x)=e2x

[_linear]

5852

y+ycos(x)=sin(2x)2

[_linear]

5853

xy+y=xsin(x)

[_linear]

5854

y+xy=x2sin(x)

[_linear]

5858

yy=ex
i.c.

[[_linear, ‘class A‘]]

5880

2yxyln(x)2xln(x)y=0

[_separable]

5881

y+ay=kebx

[[_linear, ‘class A‘]]

5885

y+ay=bsin(kx)

[[_linear, ‘class A‘]]

5889

y+ycos(x)=esin(x)

[_linear]

5892

xy+ay+bxn=0

[_linear]

5897

(x21)y+2xycos(x)=0

[_linear]

5902

cos(x)y+y+(sin(x)+1)cos(x)=0

[_linear]

6025

y+ytan(x)=0

[_separable]

6029

y=eax+ay

[[_linear, ‘class A‘]]

6093

xy=y
i.c.

[_separable]

6102

yxy=x
i.c.

[_separable]

6105

y+y=ex

[[_linear, ‘class A‘]]

6106

x2y+3xy=1

[_linear]

6107

y+2xyxex2=0

[_linear]

6108

2xy+y=2x5/2

[_linear]

6109

cos(x)y+y=cos(x)2

[_linear]

6110

y+yx2+1=1x+x2+1

[_linear]

6111

(ex+1)y+2yex=(ex+1)ex

[_linear]

6112

xln(x)y+y=ln(x)

[_linear]

6113

(x2+1)y=xy+2xx2+1

[_linear]

6114

y+ytanh(x)=2ex

[_linear]

6115

y+ycos(x)=sin(2x)

[_linear]

6116

x=cos(y)xtan(y)

[_linear]

6117

x+xey=0

[[_linear, ‘class A‘]]

6118

x=3y2/3x3y

[_linear]

6131

(1+x)y+y1x2+2x3=0

[_linear]

6208

x2yxy=1x

[_linear]

6218

y+2xxy=0

[_linear]

6226

sin(x)2y+sin(x)2+(x+y)sin(2x)=0

[_linear]

6230

sin(θ)cos(θ)rsin(θ)2=rcos(θ)2

[_linear]

6232

3x2y+x3y=0
i.c.

[_separable]

6233

y+xy=x2
i.c.

[_linear]

6237

xy=xy+y

[_separable]

6239

y=3x2y

[_separable]

6241

xy=y

[_separable]

6263

x=3xt2

[_separable]

6273

y=x3(1y)
i.c.

[_separable]

6280

y=x2(y+1)
i.c.

[_separable]

6285

y=2y2ty
i.c.

[_separable]

6294

x2y+sin(x)y=0

[_linear]

6296

(t2+1)y=tyy

[_separable]

6297

3t=ety+ln(t)y

[_linear]

6299

3r=rθ3

[[_linear, ‘class A‘]]

6300

yye3x=0

[[_linear, ‘class A‘]]

6301

y=yx+2x+1

[_linear]

6302

r+rtan(θ)=sec(θ)

[_linear]

6303

xy+2y=1x3

[_linear]

6304

t+y+1y=0

[[_linear, ‘class A‘]]

6305

y=x2e4x4y

[[_linear, ‘class A‘]]

6306

xy+2x=5y3

[_linear]

6307

xy+3x2+3y=sin(x)x

[_linear]

6308

(x2+1)y+xyx=0

[_separable]

6309

(x2+1)yx2y=(x+1)x2+1

[_linear]

6310

yyx=xex
i.c.

[_linear]

6311

y+4yex=0
i.c.

[[_linear, ‘class A‘]]

6312

t2x+3tx=t4ln(t)+1
i.c.

[_linear]

6313

y+3yx+2=3x
i.c.

[_linear]

6314

cos(x)y+ysin(x)=2xcos(x)2
i.c.

[_linear]

6315

sin(x)y+ycos(x)=xsin(x)
i.c.

[_linear]

6319

y+3yx=x2

[_linear]

6320

x=αβcos(πt12)kx
i.c.

[[_linear, ‘class A‘]]

6322

x2y+x4cos(x)x3y=0

[_linear]

6323

x10/32y+xy=0

[_linear]

6340

y4y=32x2

[[_linear, ‘class A‘]]

6342

y+3yx=x24x+3

[_linear]

6398

yy=e2x

[[_linear, ‘class A‘]]

6399

x2y+2xyx+1=0
i.c.

[_linear]

6400

y+y=(x+1)2
i.c.

[[_linear, ‘class A‘]]

6401

2xy+x2y=sinh(x)
i.c.

[_linear]

6402

y+y1x+2xx2=0

[_linear]

6403

y+y1x+xx2=0

[_linear]

6404

(x2+1)y=1+xy

[_linear]

6415

y2yxx2=0

[_linear]

6416

y+2yxx3=0

[_linear]

6420

2y+y=e3x

[[_linear, ‘class A‘]]

6421

y+xy=x2

[_linear]

6425

(x21)y+2xy=x

[_separable]

6426

y+ytanh(x)=2sinh(x)

[_linear]

6427

xy2y=x3cos(x)

[_linear]

6431

(x3+1)y=x2y
i.c.

[_separable]

6440

y+xy=x3+3x22x

[_linear]

6441

y+ytan(x)=sin(x)

[_linear]

6442

y+xy=x3cos(x)
i.c.

[_linear]

6443

(x2+1)y+3xy=5x
i.c.

[_separable]

6444

y+ycot(x)=5ecos(x)
i.c.

[_linear]

6455

(x2+1)y=1+xy

[_linear]

6459

y+(x24x)y=0

[_separable]

6460

yytan(x)=cos(x)2xsin(x)
i.c.

[_linear]

6462

(x2+1)y=x(y+1)

[_separable]

6463

xy+2y=3x1
i.c.

[_linear]

6466

y+yx=sin(2x)
i.c.

[_linear]

6470

(x3+1)y+x2y=x2(x3+1)

[_linear]

6471

y+yx=sin(x)
i.c.

[_linear]

6473

y+(1x2xx2+1)y=1x2+1

[_linear]

6474

(x2+1)y+xy=(x2+1)3/2

[_linear]

6477

y+ycot(x)=cos(x)
i.c.

[_linear]

6515

y5y=(1+x)sin(x)+(x+1)cos(x)

[[_linear, ‘class A‘]]

6516

y5y=3ex2x+1

[[_linear, ‘class A‘]]

6517

y5y=x2exxe5x

[[_linear, ‘class A‘]]

6523

yy=ex

[[_linear, ‘class A‘]]

6524

yy=xe2x+1

[[_linear, ‘class A‘]]

6525

yy=sin(x)+cos(2x)

[[_linear, ‘class A‘]]

6533

y+4yx=x4

[_linear]

6542

yyx=x2

[_linear]

6569

xy=2y

[_separable]

6579

4y+xy=0

[_separable]

6580

1+2y+(x2+4)y=0

[_separable]

6582

1+y(x+1)y=0

[_separable]

6588

1+2y(4x)y=0

[_separable]

6589

(x2+1)y+xy=0

[_separable]

6599

xy+2y=0
i.c.

[_separable]

6641

y+y=2+2x

[[_linear, ‘class A‘]]

6642

yy=xy

[_separable]

6643

3y(2+x)ex+xy=0

[_linear]

6644

i6i=10sin(2t)

[[_linear, ‘class A‘]]

6649

r+2rcos(θ)+sin(2θ)=0

[_linear]

6654

xy=y(1xtan(x))+x2cos(x)

[_linear]

6659

xy=2y+x3ex
i.c.

[_linear]

6660

Li+Ri=Esin(2t)
i.c.

[[_linear, ‘class A‘]]

6667

xy2+(y1x2)yx(y1)=0

[_quadrature]

6794

xy=1x+2y

[_linear]

6842

y+xy=1x3

[_linear]

6897

y+4xy=8x3

[_linear]

6900

xy3xy=1

[[_linear, ‘class A‘]]

6901

2xyy=2xcos(x)

[_linear]

6902

xy+x2y=10sin(x)

[_linear]

6903

y+2xy=1

[_linear]

6904

xy2y=0

[_separable]

6914

3xy+5y=10

[_separable]

6948

xy=2y
i.c.

[_separable]

6951

xy=y

[_separable]

6952

yy=x

[[_linear, ‘class A‘]]

6961

xy=y
i.c.

[_separable]

6977

y=x2y
i.c.

[[_linear, ‘class A‘]]

6980

2y+y=3x6

[[_linear, ‘class A‘]]

6985

xy=y

[_separable]

6990

3xy2y=0

[_separable]

6992

xy+y=2x
i.c.

[_linear]

7000

y+ysin(x)=x

[_linear]

7001

y2xy=ex

[_linear]

7009

2y+y=3x

[[_linear, ‘class A‘]]

7022

y=1xy
i.c.

[_linear]

7023

y=1xy
i.c.

[_linear]

7024

y=1xy
i.c.

[_linear]

7025

y=1xy
i.c.

[_linear]

7032

y=x+y
i.c.

[[_linear, ‘class A‘]]

7033

y=x+y
i.c.

[[_linear, ‘class A‘]]

7038

y=x25+y
i.c.

[[_linear, ‘class A‘]]

7039

y=x25+y
i.c.

[[_linear, ‘class A‘]]

7042

y=ycos(πx2)
i.c.

[[_linear, ‘class A‘]]

7043

y=ycos(πx2)
i.c.

[[_linear, ‘class A‘]]

7044

y=1yx
i.c.

[_linear]

7045

y=1yx
i.c.

[_linear]

7046

y=x+y

[[_linear, ‘class A‘]]

7049

y=x22y

[[_linear, ‘class A‘]]

7067

xy=4y

[_separable]

7080

n+n=ntet+2

[_separable]

7087

x2y=yxy
i.c.

[_separable]

7093

y=yex2
i.c.

[_separable]

7131

y=y+yln(x)x
i.c.

[_separable]

7147

y+y=e3x

[[_linear, ‘class A‘]]

7149

y+3x2y=x2

[_separable]

7150

y+2xy=x3

[_linear]

7151

xy+x2y=1

[_linear]

7152

y=2y+x2+5

[[_linear, ‘class A‘]]

7153

y+xy=x2sin(x)

[_linear]

7154

xy+2y=3

[_separable]

7155

4y+xy=x3x

[_linear]

7156

(x+1)yxy=x2+x

[_linear]

7157

x2y+x(x+2)y=ex

[_linear]

7158

xy+(x+1)y=exsin(2x)

[_linear]

7161

cos(x)y+ysin(x)=1

[_linear]

7162

cos(x)2sin(x)y+cos(x)3y=1

[_linear]

7163

(x+1)y+(x+2)y=2xex

[_linear]

7164

(x+2)2y=58y4xy

[_linear]

7165

r+rsec(t)=cos(t)

[_linear]

7166

p+2tp=p+4t2

[_separable]

7167

xy+(3x+1)y=e3x

[_linear]

7168

(x21)y+2y=(x+1)2

[_linear]

7169

y=x+5y
i.c.

[[_linear, ‘class A‘]]

7170

y=2x3y
i.c.

[[_linear, ‘class A‘]]

7171

xy+y=ex
i.c.

[_linear]

7175

xy+y=4x+1
i.c.

[_linear]

7176

y+4xy=x3ex2
i.c.

[_linear]

7177

(x+1)y+y=ln(x)
i.c.

[_linear]

7178

x(x+1)y+xy=1
i.c.

[_linear]

7179

yysin(x)=2sin(x)
i.c.

[_separable]

7180

y+ytan(x)=cos(x)2
i.c.

[_linear]

7181

2y+y={10x303<x
i.c.

[[_linear, ‘class A‘]]

7182

y+y={10x111<x
i.c.

[[_linear, ‘class A‘]]

7183

y+2xy={x0x<101x
i.c.

[_linear]

7184

(x2+1)y+2xy={x0x<1x1x
i.c.

[_linear]

7185

y+({20x12x1<x)y=4x
i.c.

[_linear]

7186

y+({10x252<x)y=0
i.c.

[_separable]

7187

y2xy=1
i.c.

[_linear]

7188

y2xy=1
i.c.

[_linear]

7189

y+yex=1
i.c.

[_linear]

7190

x2yy=x3
i.c.

[_linear]

7191

x3y+2x2y=10sin(x)
i.c.

[_linear]

7192

ysin(x2)y=0
i.c.

[_separable]

7195

xy4y=x6ex
i.c.

[_linear]

7197

xy4y=x6ex
i.c.

[_linear]

7384

y=ysin(x)

[_separable]

7401

y=(y1)(x+1)

[_separable]

7408

yy=2x3

[[_linear, ‘class A‘]]

7410

y+y=2x+1

[[_linear, ‘class A‘]]

7418

y2xy+x2y=0

[_separable]

7439

y(y+y)=(x+y)x
i.c.

[_quadrature]

7444

y+x+2yx=0

[_linear]

7446

xy=x+y2
i.c.

[_linear]

7555

yexy+xexyy=0

[_separable]

7583

y+ycos(x)=0

[_separable]

7584

y+ycos(x)=sin(x)cos(x)

[_linear]

7592

y+y=ex

[[_linear, ‘class A‘]]

7593

y2y=x2+x

[[_linear, ‘class A‘]]

7594

3y+y=2ex

[[_linear, ‘class A‘]]

7595

y+3y=eix

[[_linear, ‘class A‘]]

7596

y+iy=x

[[_linear, ‘class A‘]]

7598

Ly+Ry=Esin(ωx)
i.c.

[[_linear, ‘class A‘]]

7599

Ly+Ry=Eeiωx
i.c.

[[_linear, ‘class A‘]]

7600

y+ay=b(x)

[[_linear, ‘class A‘]]

7601

y+2xy=x

[_separable]

7602

xy+y=3x31

[_linear]

7603

y+yex=3ex

[_separable]

7604

yytan(x)=esin(x)

[_linear]

7605

y+2xy=xex2

[_linear]

7606

y+ycos(x)=esin(x)
i.c.

[_linear]

7607

2xy+x2y=1

[_linear]

7608

2y+y=b(x)

[[_linear, ‘class A‘]]

7731

y=x2y

[_separable]

7774

xy=2y

[_separable]

7803

y=2xy+1

[_linear]

7808

y=4xy

[_separable]

7809

y+ytan(x)=0

[_separable]

7814

yytan(x)=0

[_separable]

7818

x2y=y
i.c.

[_separable]

7825

yxy=0

[_separable]

7826

y+xy=x

[_separable]

7827

y+y=11+e2x

[_linear]

7828

y+y=2xex+x2

[[_linear, ‘class A‘]]

7829

2yx3=xy

[_linear]

7830

y+2xy=0

[_separable]

7831

xy3y=x4

[_linear]

7832

(x2+1)y+2xy=cot(x)

[_linear]

7833

y+ycot(x)=2xcsc(x)

[_linear]

7834

yx+xycot(x)+xy=0

[_linear]

7835

yxy=0
i.c.

[_separable]

7836

y2xy=6xex2
i.c.

[_linear]

7838

yyx=x2
i.c.

[_linear]

7839

y+4y=ex
i.c.

[[_linear, ‘class A‘]]

7840

xy+x2y=2x
i.c.

[_separable]

7848

xy=2x2y+yln(x)

[_separable]

7849

ysin(2x)=2y+2cos(x)

[_linear]

7854

y+ycos(xy)+(x+xcos(xy))y=0

[_separable]

7858

1+y+(1x)y=0

[_separable]

7877

xy=2x6y

[_linear]

7885

2x+3y14(x+1)y=0

[_linear]

7917

xy+y=x

[_linear]

7918

x2y+y=x2

[_linear]

7919

x2y=y

[_separable]

7923

2xy+x2y=0

[_separable]

7925

y+xy=2x
i.c.

[_linear]

7926

x2y2y=3x2
i.c.

[_linear]

7932

1yxyy2=0

[_separable]

8069

y+y=cos(x)

[[_linear, ‘class A‘]]

8073

y=2xy

[_separable]

8083

yy=x2

[[_linear, ‘class A‘]]

8085

xy=y

[_separable]

8087

x2y=y

[_separable]

8089

yyx=x2

[_linear]

8090

y+yx=x

[_linear]

8094

y=xy
i.c.

[[_linear, ‘class A‘]]

8215

y2y=x2
i.c.

[[_linear, ‘class A‘]]

8436

xy2(2x+3y)y+6y=0

[_quadrature]

8438

x2y2+xyy2y=0

[_separable]

8439

xy2+(1x2y)yxy=0

[_quadrature]

8440

y2(x2y+3)y+3x2y=0

[_quadrature]

8442

y2y2x2=0

[_separable]

8445

y2xy(x+y)y+x3y3=0

[_separable]

8452

xy3(x+x2+y)y2+(x2+y+xy)yxy=0

[_quadrature]

8534

6xy2(3x+2y)y+y=0

[_quadrature]

8553

xy2+(1x)yyy2=0

[_quadrature]

8697

y=yln(x)x

[_separable]

8699

y+2yx=5x2

[_linear]

8700

tx+2x=4et

[_linear]

8723

y=x+sec(x)yx

[_linear]

8724

y=2yx
i.c.

[_separable]

8725

y=2yx

[_separable]

8792

y=y(1+a2xa2(x2+1))a2(x2+1)

[_separable]

8990

y=yax

[_separable]

8991

y=ax+y

[[_linear, ‘class A‘]]

8992

y=ax+by

[[_linear, ‘class A‘]]

8999

cy=ax+y

[[_linear, ‘class A‘]]

9000

cy=ax+by

[[_linear, ‘class A‘]]

9010

y=sin(x)+y

[[_linear, ‘class A‘]]

9012

y=cos(x)+yx

[_linear]

9036

y2=y2x

[_separable]

9162

y+ycot(x)=2cos(x)

[_linear]

10016

y+aycebx=0

[[_linear, ‘class A‘]]

10017

y+aybsin(cx)=0

[[_linear, ‘class A‘]]

10018

y+2xyxex2=0

[_linear]

10019

y+ycos(x)e2x=0

[_linear]

10020

y+ycos(x)sin(2x)2=0

[_linear]

10021

y+ycos(x)esin(x)=0

[_linear]

10022

y+ytan(x)sin(2x)=0

[_linear]

10023

y(a+cos(ln(x))+sin(ln(x)))y=0

[_separable]

10024

y+f(x)yf(x)f(x)=0

[_linear]

10025

y+f(x)yg(x)=0

[_linear]

10102

xy+yxsin(x)=0

[_linear]

10103

xyyxln(x)=0

[_linear]

10104

xyyx2sin(x)=0

[_linear]

10105

xyyxcos(ln(ln(x)))ln(x)=0

[_linear]

10106

xy+ay+bxn=0

[_linear]

10141

2xyy2x3=0

[_linear]

10144

x2y+yx=0

[_linear]

10145

x2yy+x2ex1x=0

[_linear]

10146

x2y(1+x)y=0

[_separable]

10159

(x2+1)y+xy1=0

[_linear]

10160

(x2+1)y+xyx(x2+1)=0

[_linear]

10161

(x2+1)y+2xy2x2=0

[_linear]

10164

(x21)yxy+a=0

[_linear]

10165

(x21)y+2xycos(x)=0

[_linear]

10172

(x25x+6)y+3xy8y+x2=0

[_linear]

10185

x(x2+1)y+x2y=0

[_separable]

10186

x(x21)y(2x21)y+ax3=0

[_linear]

10194

(2x4x)y2(x31)y=0

[_separable]

10203

a2+x2y+ya2+x2+x=0

[_linear]

10204

xln(x)y+yax(1+ln(x))=0

[_linear]

10207

cos(x)y+y+(sin(x)+1)cos(x)=0

[_linear]

10209

sin(x)cos(x)yysin(x)3=0

[_linear]

10211

(asin(x)2+b)y+aysin(2x)+Ax(asin(x)2+c)=0

[_linear]

10398

y2+2yycot(x)y2=0

[_separable]

10399

y2+y(yx)yxy3=0

[_separable]

10442

x2y2+3xyy+3y2=0

[_separable]

10445

x2y2+(x2y2xy+x3)y+(y2x2y)(1x)=0

[_linear]

10451

(a2+x2)y2+2xyy+y2=0

[_separable]

10526

y2axyy+2ay2=0

[_separable]

10527

y3(y2+xy+x2)y2+(x3y+y2x2+xy3)yx3y3=0

[_quadrature]

10566

yln(y)+yyln(y)xy=0

[_separable]

11925

g(x)y=f1(x)y+f0(x)

[_linear]

12086

y=aln(x)nyabxln(x)n+1y+bln(x)+b

[_linear]

12722

y+x+xy=0

[_linear]

12740

y+ycot(x)=sec(x)

[_linear]

12741

xy+(x+1)y=ex

[_linear]

12742

y2yx+1=(x+1)3

[_linear]

12743

(x3+x)y+4x2y=2

[_linear]

12744

x2y+(12x)y=x2

[_linear]

12751

y2(3y6xy)x(y2xy)=0

[_separable]

12762

x3yy4+(xy3x4)y=0

[_separable]

12764

xyy+2x2yx3=0

[_linear]

12770

yx2y=x5

[_linear]

12779

y+y(x2+1)3/2=x+x2+1(x2+1)2

[_linear]

12782

(x2+1)y+y=arctan(x)

[_linear]

12784

y+ycos(x)=sin(2x)2

[_linear]

12800

(2xyy)2=8x3

[_linear]

12802

y3(2x+y2)y2+(x2y2+2xy2)y(x2y2)y2=0

[_quadrature]

12828

y2+2yycot(x)=y2

[_separable]

12830

x2y22(xy+2y)y+y2=0

[_separable]

12946

x=2xt

[_separable]

12951

x+2x=t2+4t+7

[[_linear, ‘class A‘]]

12952

2tx=x

[_separable]

12973

x=2xt+1

[_separable]

12992

xe2t+2xe2t=et
i.c.

[[_linear, ‘class A‘]]

12996

x=2t3x6

[_linear]

12999

7t2x=3x2t

[_linear]

13002

x=2xt+t

[_linear]

13003

y+y=et

[[_linear, ‘class A‘]]

13004

x+2tx=et2

[_linear]

13005

tx=x+t2

[_linear]

13006

θ=aθ+etb

[[_linear, ‘class A‘]]

13007

(t2+1)x=3tx+6t

[_separable]

13008

x+5xt=t+1
i.c.

[_linear]

13009

x=(a+bt)x
i.c.

[_separable]

13010

R+Rt=2t2+1
i.c.

[_linear]

13011

N=N9et

[[_linear, ‘class A‘]]

13012

cos(θ)v+v=3

[_separable]

13013

R=Rt+tet
i.c.

[_linear]

13014

y+ay=t+1

[[_linear, ‘class A‘]]

13015

x=2tx

[_separable]

13016

x+etxt=t
i.c.

[_linear]

13020

x+p(t)x=0

[_separable]

13027

x3+3tx2x=0

[_separable]

13167

y+y=x+1

[[_linear, ‘class A‘]]

13173

y+3y=3x2e3x

[[_linear, ‘class A‘]]

13174

y+4xy=8x

[_separable]

13179

2y+y=6ex+4xe2x

[[_linear, ‘class A‘]]

13183

y+y=2xex
i.c.

[[_linear, ‘class A‘]]

13184

y+y=2xex
i.c.

[[_linear, ‘class A‘]]

13211

4xy+(x2+1)y=0

[_separable]

13212

xy+2x+y+2+(x2+2x)y=0

[_separable]

13218

x+yxy=0

[_linear]

13235

y+3yx=6x2

[_linear]

13236

x4y+2x3y=1

[_linear]

13237

y+3y=3x2e3x

[[_linear, ‘class A‘]]

13238

y+4xy=8x

[_separable]

13239

x+xt2=1t2

[_separable]

13240

(u2+1)v+4uv=3u

[_separable]

13241

xy+(2x+1)yx+1=1+x

[_linear]

13242

(x2+x2)y+3(x+1)y=1+x

[_linear]

13243

xy+xy+y1=0

[_linear]

13245

r+rtan(t)=cos(t)

[_linear]

13246

cos(t)r+rsin(t)cos(t)4=0

[_linear]

13247

cos(x)2ycos(x)(sin(x)+1)y=0

[_linear]

13248

ysin(2x)cos(x)+(1+sin(x)2)y=0

[_linear]

13253

xy2y=2x4
i.c.

[_linear]

13254

y+3x2y=x2
i.c.

[_separable]

13255

ex(y3(ex+1)2)+(ex+1)y=0
i.c.

[_linear]

13256

2x(y+1)(x2+1)y=0
i.c.

[_separable]

13257

r+rtan(t)=cos(t)2
i.c.

[_linear]

13258

xx=sin(2t)
i.c.

[[_linear, ‘class A‘]]

13261

y+y={20x<101x
i.c.

[[_linear, ‘class A‘]]

13262

y+y={50x<10110x
i.c.

[[_linear, ‘class A‘]]

13263

y+y={ex0x<2e22x
i.c.

[[_linear, ‘class A‘]]

13264

(x+2)y+y={2x0x<242x
i.c.

[_linear]

13265

ay+by=keλx

[[_linear, ‘class A‘]]

13266

y+y=2sin(x)+5sin(2x)

[[_linear, ‘class A‘]]

13272

6x2y(x3+1)y=0

[_separable]

13274

y1+x(x+1)y=0

[_separable]

13275

x22y+xy=0

[_linear]

13277

e2xy2+(e2xy2y)y=0

[_separable]

13278

8x3y12x3+(x4+1)y=0

[_separable]

13281

(x+1)y+xy=ex

[_linear]

13284

(x3+1)y+6x2y=6x2

[_separable]

13292

y=xyx2+1
i.c.

[_separable]

13293

y+y={10x<200<x
i.c.

[[_linear, ‘class A‘]]

13294

(x+2)y+y={2x0x242<x
i.c.

[_linear]

13634

xe3t+3xe3t=et
i.c.

[[_linear, ‘class A‘]]

13640

x=t3(x+1)
i.c.

[_separable]

13642

x=xt2

[_separable]

13646

xy=ky

[_separable]

13647

i=p(t)i

[_separable]

13652

y+yx=x2

[_linear]

13653

x+tx=4t
i.c.

[_separable]

13654

z=ztan(y)+sin(y)

[_linear]

13655

y+exy=1
i.c.

[_linear]

13656

x+xtanh(t)=3

[_linear]

13657

y+2ycot(x)=5
i.c.

[_linear]

13658

x+5x=t

[[_linear, ‘class A‘]]

13659

x+(a+1t)x=b
i.c.

[_linear]

13660

T=k(Tμacos(ω(tϕ)))

[[_linear, ‘class A‘]]

13662

1+yex+xexy+(xex+2)y=0

[_linear]

13772

xy+y=x3

[_linear]

13774

x+3x=e2t

[[_linear, ‘class A‘]]

13775

cos(x)y+ysin(x)=1

[_linear]

13777

x=x+sin(t)

[[_linear, ‘class A‘]]

13799

x+5x=10t+2
i.c.

[[_linear, ‘class A‘]]

13804

xxcot(t)=4sin(t)

[_linear]

13813

(x21)y+2xycos(x)=0

[_linear]

13820

y2+2yycot(x)y2=0

[_separable]

13885

cos(x)y+yex2=sinh(x)

[_linear]

13889

5yxy=0

[_separable]

14075

y+ycos(x)=sin(2x)2

[_linear]

14083

yxy=0

[_separable]

14085

1+y(1x)y=0

[_separable]

14087

ya+x2y=0

[_separable]

14088

z(a2+t2)z=0

[_separable]

14091

r+rtan(t)=0

[_separable]

14097

y+x+xy=0

[_linear]

14102

ts+ts=0

[_linear]

14107

x+2y+1(2x3)y=0

[_linear]

14112

y2yx+1=(x+1)3

[_linear]

14113

yayx=x+1x

[_linear]

14114

(x2+x)y+(2x21)yax3=0

[_linear]

14115

scos(t)+ssin(t)=1

[_linear]

14116

s+scos(t)=sin(2t)2

[_linear]

14117

ynyx=exxn

[_linear]

14118

y+nyx=axn

[_linear]

14119

y+y=ex

[[_linear, ‘class A‘]]

14120

y+(12x)yx21=0

[_linear]

14142

y=xy+y

[_separable]

14145

y=2yx3

[_linear]

14200

(x2+1)yxyα=0

[_linear]

14210

y+yx=ex
i.c.

[_linear]

14232

y+xy=0

[_separable]

14237

yyx=1

[_linear]

14239

2xy+x2y=0

[_separable]

14247

2xyy=0

[_separable]

14254

y2xy=0

[_separable]

14255

y+y=x2+2x1

[[_linear, ‘class A‘]]

14260

xln(x)y(1+ln(x))y=0

[_separable]

14278

y=xy

[_separable]

14279

y=xy

[_separable]

14282

y=x+y

[[_linear, ‘class A‘]]

14283

y=xy

[_separable]

14285

y=yx

[_separable]

14294

y=3y(x5)(x+3)+ex

[_linear]

14310

y=xy+1x2+1
i.c.

[_linear]

14311

y=cos(x)+yx
i.c.

[_linear]

14312

y=yx+tan(x)
i.c.

[_linear]

14313

y=yx2+4+x
i.c.

[_linear]

14314

y=yx2+4+x
i.c.

[_linear]

14315

y=ycot(x)+csc(x)
i.c.

[_linear]

14332

y=yx
i.c.

[_separable]

14335

y=xy+x
i.c.

[_separable]

14337

yx2y=0
i.c.

[_separable]

14340

y=1xyx2

[_linear]

14344

y=xy+2
i.c.

[_linear]

14345

y=yx
i.c.

[_separable]

14346

y=y1+x+x2
i.c.

[_linear]

14347

y=yx+sin(x2)
i.c.

[_linear]

14348

y=2yx+ex
i.c.

[_linear]

14349

y=ycot(x)+sin(x)
i.c.

[_linear]

14351

yxy=0

[_separable]

14352

x2y+xy=0

[_linear]

14355

y(2x1)+x(x+1)y=0

[_separable]

14357

y=x+y
i.c.

[[_linear, ‘class A‘]]

14358

y=yx
i.c.

[_separable]

14359

y=yx
i.c.

[_separable]

14360

y=yx2+1+x
i.c.

[_linear]

14361

y=yx2+1+x

[_linear]

14362

y=yx2+1+x
i.c.

[_linear]

14522

y=y+1t+1

[_separable]

14524

y=t4y

[_separable]

14534

y=2y+1t

[_separable]

14537

v=t2v22v+t2

[_separable]

14541

w=wt

[_separable]

14543

x=tx
i.c.

[_separable]

14544

y=ty
i.c.

[_separable]

14562

y=y+t+1

[[_linear, ‘class A‘]]

14564

y=2yt
i.c.

[[_linear, ‘class A‘]]

14566

y=(t+1)y
i.c.

[_separable]

14577

y=t2+t2y

[_separable]

14578

y=t+ty

[_separable]

14585

v=2V(t)2v

[[_linear, ‘class A‘]]

14647

y=4y+9et

[[_linear, ‘class A‘]]

14648

y=4y+3et

[[_linear, ‘class A‘]]

14649

y=3y+4cos(2t)

[[_linear, ‘class A‘]]

14650

y=2y+sin(2t)

[[_linear, ‘class A‘]]

14651

y=3y4e3t

[[_linear, ‘class A‘]]

14652

y=y2+4et2

[[_linear, ‘class A‘]]

14653

y+2y=et3
i.c.

[[_linear, ‘class A‘]]

14654

y2y=3e2t
i.c.

[[_linear, ‘class A‘]]

14655

y+y=cos(2t)
i.c.

[[_linear, ‘class A‘]]

14656

y+3y=cos(2t)
i.c.

[[_linear, ‘class A‘]]

14657

y2y=7e2t
i.c.

[[_linear, ‘class A‘]]

14658

y+2y=3t2+2t1

[[_linear, ‘class A‘]]

14659

y+2y=t2+2t+1+e4t

[[_linear, ‘class A‘]]

14660

y+y=t3+sin(3t)

[[_linear, ‘class A‘]]

14661

y3y=2te4t

[[_linear, ‘class A‘]]

14662

y+y=cos(2t)+3sin(2t)+et

[[_linear, ‘class A‘]]

14663

y=yt+2

[_linear]

14664

y=3yt+t5

[_linear]

14665

y=yt+1+t2

[_linear]

14666

y=2ty+4et2

[_linear]

14667

y2tyt2+1=3

[_linear]

14668

y2yt=t3et

[_linear]

14669

y=yt+1+2
i.c.

[_linear]

14670

y=yt+1+4t2+4t
i.c.

[_linear]

14671

y=yt+2
i.c.

[_linear]

14672

y=2ty+4et2
i.c.

[_linear]

14673

y2yt=2t2
i.c.

[_linear]

14674

y3yt=2t3e2t
i.c.

[_linear]

14675

y=sin(t)y+4

[_linear]

14676

y=t2y+4

[_linear]

14677

y=yt2+4cos(t)

[_linear]

14678

y=y+4cos(t2)

[[_linear, ‘class A‘]]

14679

y=yet2+cos(t)

[_linear]

14680

y=yt33+t

[_linear]

14681

y=aty+4et2

[_linear]

14682

y=try+4

[_linear]

14683

v+2v5=3cos(2t)

[[_linear, ‘class A‘]]

14684

y=2ty+4et2

[_linear]

14685

y+2y=3e2t

[[_linear, ‘class A‘]]

14692

y=y+et

[[_linear, ‘class A‘]]

14694

y=ty

[_separable]

14695

y=3y+e7t

[[_linear, ‘class A‘]]

14696

y=tyt2+1

[_separable]

14697

y=5y+sin(3t)

[[_linear, ‘class A‘]]

14698

y=t+2yt+1

[_linear]

14701

y=3y+e2t+t2

[[_linear, ‘class A‘]]

14702

x=tx
i.c.

[_separable]

14703

y=2y+cos(4t)
i.c.

[[_linear, ‘class A‘]]

14704

y=3y+2e3t
i.c.

[[_linear, ‘class A‘]]

14706

y+5y=3e5t
i.c.

[[_linear, ‘class A‘]]

14707

y=2ty+3tet2
i.c.

[_linear]

14715

y=t2y+1+y+t2

[_separable]

14716

y=2y+1t

[_separable]

14902

y+4y=e2x

[[_linear, ‘class A‘]]

14945

y+3xy=6x

[_separable]

14951

(2+x)y=3+y

[_separable]

14957

y=3xysin(x)

[_linear]

14961

y+xy=4x

[_separable]

14962

y+4y=x2

[[_linear, ‘class A‘]]

14963

y=xy3x2y+6

[_separable]

14973

y=2x1+2xyy
i.c.

[_separable]

14976

y=xy4x

[_separable]

14982

y=xy4x

[_separable]

14983

y=xy3x2y+6

[_separable]

14986

y=yx

[_separable]

14999

y=2x1+2xyy
i.c.

[_separable]

15004

x2y+3x2y=sin(x)

[[_linear, ‘class A‘]]

15008

y=1+xy+3y

[_linear]

15011

y=ysin(x)

[_separable]

15013

xy+cos(x2)=827y

[_linear]

15015

2y+y=20e3x

[[_linear, ‘class A‘]]

15016

y=4y+16x

[[_linear, ‘class A‘]]

15017

y2xy=x

[_separable]

15018

xy+3y10x2=0

[_linear]

15019

2xy+x2y=sin(x)

[_linear]

15020

xy=x+3y

[_linear]

15021

cos(x)y+ysin(x)=cos(x)2

[_linear]

15022

xy+(5x+2)y=20x

[_linear]

15023

2xy+y=2xex

[_linear]

15026

y+5y=e3x
i.c.

[[_linear, ‘class A‘]]

15027

xy+3y=20x2
i.c.

[_linear]

15028

xy=y+x2cos(x)
i.c.

[_linear]

15029

(x2+1)y=x(3+3x2y)
i.c.

[_linear]

15030

y+6xy=sin(x)
i.c.

[_linear]

15031

x2y+xy=xsin(x)
i.c.

[_linear]

15032

y+xy=x2ex2
i.c.

[_linear]

15076

2x(y+1)y=0

[_separable]

15080

xy=2y6x3

[_linear]

15087

4xy6+x2y=0

[_linear]

15090

3yx3+xy=0

[_linear]

15093

2+2x22xy+(x2+1)y=0

[_linear]

15109

y3y=12e2x

[[_linear, ‘class A‘]]

15114

2y6x+(x+1)y=0

[_linear]

15120

2y+y=sin(x)

[[_linear, ‘class A‘]]

15127

y=x(6y+ex2)

[_linear]

15129

x2y+3xy=6ex2

[_linear]

15187

xy+3y=e2x

[_linear]

15712

y+xy=0

[_separable]

15713

y+y=sin(x)

[[_linear, ‘class A‘]]

15725

y=2yx3

[_linear]

15742

y+y=sin(t)
i.c.

[[_linear, ‘class A‘]]

15755

xy+y=cos(x)

[_linear]

15763

y+ycos(x)=0

[_separable]

15764

yy=sin(x)

[[_linear, ‘class A‘]]

15777

2y+y=x2
i.c.

[[_linear, ‘class A‘]]

15784

y=y+1t+1

[_linear]

15788

y=yt
i.c.

[_separable]

15790

ty=y

[_separable]

15791

y=ytan(t)
i.c.

[_separable]

15801

ty+y=t3
i.c.

[_linear]

15802

t3y+t4y=2t3
i.c.

[_linear]

15803

2y+ty=ln(t)
i.c.

[_linear]

15804

y+ysec(t)=t
i.c.

[_linear]

15805

y+yt3=1t1
i.c.

[_linear]

15806

(t2)y+(t24)y=1t+2
i.c.

[_linear]

15807

y+yt2+4=t
i.c.

[_linear]

15808

y+yt2+4=t
i.c.

[_linear]

15809

ty+y=tsin(t)
i.c.

[_linear]

15810

y+ytan(t)=sin(t)
i.c.

[_linear]

15822

y=y+1t+1

[_separable]

15823

y=2+y2t+1

[_separable]

15867

y=3+y3x+1
i.c.

[_separable]

15870

y=3y+1x+3
i.c.

[_separable]

15871

y=ycos(t)
i.c.

[_separable]

15874

y+yf(t)=0
i.c.

[_separable]

15875

y=y22+x
i.c.

[_separable]

15885

y=yf(t)
i.c.

[_separable]

15887

yy=2et

[[_linear, ‘class A‘]]

15888

yy=2cos(t)

[[_linear, ‘class A‘]]

15889

yy=t22t

[[_linear, ‘class A‘]]

15890

yy=4tet

[[_linear, ‘class A‘]]

15891

ty+y=t2

[_linear]

15892

ty+y=t

[_linear]

15893

xy+y=xex

[_linear]

15894

xy+y=ex

[_linear]

15895

y2tyt2+1=2

[_linear]

15896

y4ty4t2+1=4t

[_linear]

15897

y=2x+xyx21

[_linear]

15898

y+ycot(t)=cos(t)

[_linear]

15899

y3tyt24=t

[_linear]

15900

y4ty4t29=t

[_linear]

15901

y9xy9x2+49=x

[_linear]

15902

y+2ycot(x)=cos(x)

[_linear]

15903

y+xy=x3

[_linear]

15904

yxy=x

[_separable]

15906

yx=y

[[_linear, ‘class A‘]]

15908

x=3xt2t3+1

[_separable]

15909

p=t3+pt

[_linear]

15910

v+v=es

[[_linear, ‘class A‘]]

15911

yy=4et
i.c.

[[_linear, ‘class A‘]]

15912

y+y=et
i.c.

[[_linear, ‘class A‘]]

15913

y+3t2y=et3
i.c.

[_linear]

15914

y+2ty=2t
i.c.

[_separable]

15915

ty+y=cos(t)
i.c.

[_linear]

15916

ty+y=2tet
i.c.

[_linear]

15917

(1+et)y+ety=t
i.c.

[_linear]

15918

(t2+4)y+2ty=2t
i.c.

[_separable]

15919

x=x+t+1
i.c.

[[_linear, ‘class A‘]]

15920

y=e2t+2y
i.c.

[[_linear, ‘class A‘]]

15921

yyt=ln(t)

[_linear]

15923

y+y={40t<202t
i.c.

[[_linear, ‘class A‘]]

15924

y+y={t0t<101t
i.c.

[[_linear, ‘class A‘]]

15925

yy=sin(2t)

[[_linear, ‘class A‘]]

15926

y+y=5e2t

[[_linear, ‘class A‘]]

15927

y+y=et

[[_linear, ‘class A‘]]

15928

y+y=2e2t

[[_linear, ‘class A‘]]

15929

y5y=t

[[_linear, ‘class A‘]]

15930

y+3y=27t2+9

[[_linear, ‘class A‘]]

15931

yy2=5cos(t)+2et

[[_linear, ‘class A‘]]

15932

y+4y=8cos(4t)

[[_linear, ‘class A‘]]

15933

y+10y=2et

[[_linear, ‘class A‘]]

15934

y3y=27t2

[[_linear, ‘class A‘]]

15935

yy=2et

[[_linear, ‘class A‘]]

15936

y+y=4+3et

[[_linear, ‘class A‘]]

15937

y+y=2cos(t)+t

[[_linear, ‘class A‘]]

15938

y+y2=sin(t)
i.c.

[[_linear, ‘class A‘]]

15939

yy2=sin(t)
i.c.

[[_linear, ‘class A‘]]

15940

ty+y=tcos(t)

[_linear]

15941

y+y=t
i.c.

[[_linear, ‘class A‘]]

15942

y+y=sin(t)
i.c.

[[_linear, ‘class A‘]]

15943

y+y=cos(t)
i.c.

[[_linear, ‘class A‘]]

15944

y+y=et
i.c.

[[_linear, ‘class A‘]]

15947

ycos(ty)+tcos(ty)y=0

[_separable]

15948

ysec(t)2+2t+tan(t)y=0

[_linear]

15953

ety+tetyyy=0

[_separable]

15956

y2+2tyy=0

[_separable]

15957

3t2yt3yy2=0

[_separable]

15966

2ty2sin(t2)+2ycos(t2)y=0

[_separable]

15974

2ty2+2t2yy=0
i.c.

[_separable]

15975

1+yt2yt=0
i.c.

[_linear]

15976

2ty+3t2+(t21)y=0
i.c.

[_linear]

15986

t2y+t3y=0

[_separable]

15987

y(2et+4t)+3(et+t2)y=0

[_separable]

16016

2y3t+ty=0

[_linear]

16021

ty+ty=0

[_linear]

16034

t+yty=0
i.c.

[_linear]

16044

y2yx=x2y

[_separable]

16053

y=t(y+1)+2y+1

[_linear]

16065

y=(47x)(2y3)(1+x)(2x5)

[_separable]

16066

y+3y=10sin(t)

[[_linear, ‘class A‘]]

16069

yx+y=0

[[_linear, ‘class A‘]]

16078

y+ty=t

[_separable]

16079

x+xy=y2

[_linear]

16080

tr+r=tcos(t)

[_linear]

16097

y=yt2
i.c.

[_separable]

16221

y4y=t2

[[_linear, ‘class A‘]]

16222

y+y=cos(2t)
i.c.

[[_linear, ‘class A‘]]

16223

yy=e4t
i.c.

[[_linear, ‘class A‘]]

16224

y+4y=e4t
i.c.

[[_linear, ‘class A‘]]

16225

y+4y=te4t

[[_linear, ‘class A‘]]

16596

xy+y=cos(x)

[_linear]

16597

2y+y=ex

[[_linear, ‘class A‘]]

16598

(x2+1)y+xy=2x

[_separable]

16600

y=x+y

[[_linear, ‘class A‘]]

16601

y=yx

[[_linear, ‘class A‘]]

16602

y=x2y+32

[[_linear, ‘class A‘]]

16604

y=(y1)x

[_separable]

16607

y=yx2

[[_linear, ‘class A‘]]

16608

y=x2+2xy

[[_linear, ‘class A‘]]

16609

y=y+11+x

[_separable]

16612

y=2xy

[[_linear, ‘class A‘]]

16613

y=x2+y

[[_linear, ‘class A‘]]

16614

y=yx

[_separable]

16621

y=x+y
i.c.

[[_linear, ‘class A‘]]

16622

y=2y2x23
i.c.

[[_linear, ‘class A‘]]

16623

xy=2xy
i.c.

[_linear]

16626

sin(x)yycos(x)=0
i.c.

[_separable]

16638

y=ax+by+c

[[_linear, ‘class A‘]]

16640

xy+y=a(1+xy)
i.c.

[_linear]

16642

y=yx
i.c.

[_separable]

16655

(x+1)y=y1

[_separable]

16656

y=2x(π+y)

[_separable]

16659

xy+xy=0

[_linear]

16666

x+y2+(1x)y=0

[_linear]

16678

2y+y=ex

[[_linear, ‘class A‘]]

16679

x2xy=y
i.c.

[_linear]

16680

y2xy=2xex2

[_linear]

16681

y+2xy=ex2

[_linear]

16682

cos(x)yysin(x)=2x
i.c.

[_linear]

16683

xy2y=x3cos(x)

[_linear]

16684

yytan(x)=1cos(x)3
i.c.

[_linear]

16685

xln(x)yy=3x3ln(x)2

[_linear]

16687

y+ycos(x)=cos(x)
i.c.

[_separable]

16690

yyex=2xeex

[_linear]

16691

y+xexy=e(1x)ex

[_linear]

16692

yyln(2)=2sin(x)(cos(x)1)ln(2)

[[_linear, ‘class A‘]]

16693

yy=2ex
i.c.

[[_linear, ‘class A‘]]

16694

sin(x)yycos(x)=sin(x)2x2
i.c.

[_linear]

16695

x2ycos(1x)ysin(1x)=1
i.c.

[_linear]

16696

2xyy=12x
i.c.

[_linear]

16697

x2y+y=(x2+1)ex
i.c.

[_linear]

16698

xy+y=2x

[_linear]

16699

sin(x)y+ycos(x)=1

[_linear]

16700

cos(x)yysin(x)=sin(2x)
i.c.

[_linear]

16704

y+3xy=yex2

[_separable]

16722

xyx2+1+2xyyx+(x2+1+x2ln(x))y=0

[_separable]

16729

x2+yxy=0

[_linear]

16731

2x2y+2y+5+(2x3+2x)y=0

[_linear]

16739

y22yy=y2(e2x1)

[_separable]

16742

y2(2x+y)y+x2+xy=0

[_quadrature]

16789

xsin(x)y+(sin(x)xcos(x))y=sin(x)cos(x)x

[_linear]

16795

2xyex2xsin(x)+ex2y=0

[_linear]

16800

(2x1)y2y=14xx2

[_linear]

16803

y(3x22x)y(6x2)=0

[_separable]

17244

x2y=yxy
i.c.

[_separable]

17258

y+4y=t+e2t

[[_linear, ‘class A‘]]

17259

y2y=t2e2t

[[_linear, ‘class A‘]]

17260

y+y=tet+1

[[_linear, ‘class A‘]]

17261

y+yt=5+cos(2t)

[_linear]

17262

y2y=3et

[[_linear, ‘class A‘]]

17263

ty+2y=sin(t)

[_linear]

17264

y+2ty=16tet2

[_linear]

17265

(t2+1)y+4ty=1(t2+1)2

[_linear]

17266

y+2y=3t

[[_linear, ‘class A‘]]

17267

tyy=t3et

[_linear]

17268

y+y=5sin(2t)

[[_linear, ‘class A‘]]

17269

y+2y=3t2

[[_linear, ‘class A‘]]

17270

yy=2te2t
i.c.

[[_linear, ‘class A‘]]

17271

y+2y=te2t
i.c.

[[_linear, ‘class A‘]]

17272

ty+4y=t2t+1
i.c.

[_linear]

17273

y+2yt=cos(t)t2
i.c.

[_linear]

17274

y2y=e2t
i.c.

[[_linear, ‘class A‘]]

17275

ty+2y=sin(t)
i.c.

[_linear]

17276

t3y+4t2y=et
i.c.

[_linear]

17277

ty+(t+1)y=t
i.c.

[_linear]

17278

yy3=3cos(t)
i.c.

[[_linear, ‘class A‘]]

17279

2yy=et3
i.c.

[[_linear, ‘class A‘]]

17280

3y2y=eπt2
i.c.

[[_linear, ‘class A‘]]

17281

ty+(t+1)y=2tet
i.c.

[_linear]

17282

ty+2y=sin(t)t
i.c.

[_linear]

17283

sin(t)y+ycos(t)=et
i.c.

[_linear]

17284

y+y2=2cos(t)
i.c.

[[_linear, ‘class A‘]]

17285

y+4y3=1t4
i.c.

[[_linear, ‘class A‘]]

17286

y+y4=3+2cos(2t)
i.c.

[[_linear, ‘class A‘]]

17287

yy=1+3sin(t)
i.c.

[[_linear, ‘class A‘]]

17288

y3y2=3t+3et
i.c.

[[_linear, ‘class A‘]]

17289

y6y=t6e6t

[[_linear, ‘class A‘]]

17290

y+yt=3cos(2t)

[_linear]

17291

ty+2y=sin(t)

[_linear]

17292

y+2y=3t2

[[_linear, ‘class A‘]]

17293

(t3)y+ln(t)y=2t
i.c.

[_linear]

17294

t(4+t)y+y=0
i.c.

[_separable]

17295

y+ytan(t)=sin(t)
i.c.

[_linear]

17296

(t2+4)y+2ty=3t2
i.c.

[_linear]

17297

(t2+4)y+2ty=3t2
i.c.

[_linear]

17298

y+ln(t)y=cot(t)
i.c.

[_linear]

17314

y+2y={10t101<t
i.c.

[[_linear, ‘class A‘]]

17315

y+({20t111<t)y=0
i.c.

[_separable]

17319

2xy2+2y+(2x+2x2y)y=0

[_separable]

17325

yx+6x+(ln(x)2)y=0

[_linear]

17335

y=e2x+y1

[[_linear, ‘class A‘]]

17367

xy+(x+1)y=x

[_linear]

17369

xyy=1

[_separable]

17370

5xy2+5y+(5x2y+5x)y=0

[_separable]

17372

(2x)y=y+2(2x)5

[_linear]

17828

cos(x)y=ysin(x)+cos(x)2

[_linear]

17829

y=2xyx3+x

[_linear]

17830

y+xyx2+1=1x(x2+1)

[_linear]

17844

y=ky+f(x)

[[_linear, ‘class A‘]]

17854

y=2xyx3+x

[_linear]

17859

y3(y2+xy+x2)y2+(x3y+y2x2+xy3)yx3y3=0

[_quadrature]

17978

xy=2y

[_separable]

18002

y=2xy

[_separable]

18005

y+ytan(x)=0

[_separable]

18006

yytan(x)=0

[_separable]

18021

y=2xy+1

[_linear]

18031

xy=2x+3y

[_linear]

18041

2x+3y14(x+1)y=0

[_linear]

18048

y+ycos(xy)+(x+xcos(xy))y=0

[_separable]

18051

sin(xy)y+xsin(xy)yy2=0

[_separable]

18052

1+y+(1x)y=0

[_separable]

18082

y+xy=2x23

[_linear]

18088

y+yx=sin(x)

[_linear]

18090

xy3y=x4

[_linear]

18091

y+y=11+e2x

[_linear]

18092

(x2+1)y+2xy=cot(x)

[_linear]

18093

y+y=2xex+x2

[[_linear, ‘class A‘]]

18094

y+ycot(x)=2xcsc(x)

[_linear]

18095

2yx3=xy

[_linear]

18096

yx+xycot(x)+xy=0

[_linear]

18097

y2xy=6xex2

[_linear]

18098

xln(x)y+y=3x3

[_linear]

18099

y2xyx2+x2y=0

[_linear]

18107

ysin(2x)=2y+2cos(x)

[_linear]

18131

x2+y=xy

[_linear]

18132

xy+y=x2cos(x)

[_linear]

18138

y+2xy=ex2

[_linear]

18140

(x2+1)y+2xy=4x3

[_linear]

18146

y=1+3ytan(x)

[_linear]

18152

yx(x+y)32xy(x+y)3=0

[_linear]

18156

x(x2+1)y+2y=(x2+1)3

[_linear]

18158

ex2y(1+2x2y)+x3ex2yy=0

[_linear]

18166

xy+y1+xy=0

[_linear]

18169

x+xcot(y)=sec(y)

[_linear]

18422

1+2x+(t2+4)x=0

[_separable]

18425

xe3t+3xe3t=2t

[[_linear, ‘class A‘]]

18427

x+2x=et

[[_linear, ‘class A‘]]

18428

x+xtan(t)=0

[_separable]

18429

xxtan(t)=4sin(t)

[_linear]

18430

t3x+(3t2+2)x=t3

[_linear]

18432

tx+xln(t)=t2

[_linear]

18433

tx+xg(t)=h(t)

[_linear]

18458

v+u2v=sin(u)

[_linear]

18460

v+2vu=3

[_linear]

18463

yxy=b(1+x2y)

[_separable]

18473

y+xy=x

[_separable]

18474

y+yx=sin(x)

[_linear]

18476

p=p+at32pt2t(t2+1)

[_linear]

18478

y+ycos(x)=sin(2x)2

[_linear]

18492

v+2vu=3v

[_separable]

18495

yx=ysin(x21)2yx

[_separable]

18497

v+2uv=2u

[_separable]

18509

5x+x=sin(3t)

[[_linear, ‘class A‘]]

18525

y+xyx2+1=1x(x2+1)

[_linear]

18540

y+yx=x2+1

[_linear]

18541

y+ycot(x)=csc(x)2

[_linear]

18542

y=xy

[[_linear, ‘class A‘]]

18544

y+xyx2+1=1x(x2+1)

[_linear]

18545

x(x2+1)y+(x21)y=x3

[_linear]

18546

y+ycos(x)=sin(2x)2

[_linear]

18547

x(x2+1)y+(2x21)y=ax3

[_linear]

18566

(x22xy)y+x23xy+2y2=0

[_linear]

18648

(1x)yy1=0

[_separable]

18663

yxy+ln(x)=0

[_linear]

18677

xyay=x+1

[_linear]

18678

y+y=ex

[[_linear, ‘class A‘]]

18679

cos(x)2y+y=tan(x)

[_linear]

18680

(x+1)yny=ex(x+1)n+1

[_linear]

18681

(x2+1)y+2xy=4x2

[_linear]

18692

y+(12x)yx2=1

[_linear]

18695

y+yx2+1=x+x2+1(x2+1)2

[_linear]

18698

y+4xyx2+1=1(x2+1)3

[_linear]

18700

x(x2+1)y+(2x21)y=ax3

[_linear]

18711

a2+x2y+y=a2+x2x

[_linear]

18715

yxy=b(1+x2y)

[_separable]

18720

y+nyx=axn

[_linear]

18757

y2+2yycot(x)=y2

[_separable]

18762

y3(y2+xy+x2)y2+(x3y+y2x2+xy3)yx3y3=0

[_quadrature]

18968

y+x+xy=0

[_linear]

18975

(x2+1)y2xy=x3+x

[_linear]

18976

xyycos(1x)=0

[_linear]

18980

x2y+y=1

[_separable]

18981

2y+(x2+1)arctan(x)y=0

[_separable]

19017

y+ycot(x)=2cos(x)

[_linear]

19018

cos(x)2y+y=tan(x)

[_linear]

19019

xcos(x)y+y(xsin(x)+cos(x))=1

[_linear]

19020

yxsin(x2)+xy=0

[_linear]

19021

xln(x)y+y=2ln(x)

[_linear]

19022

sin(x)cos(x)y=y+sin(x)

[_linear]

19025

y+3x2y=x5ex3

[_linear]

19027

y+(12x)yx2=1

[_linear]

19028

y+2yx=sin(x)

[_linear]

19030

1+y+x2y+(x3+x)y=0

[_linear]

19031

y+xyx2+1=12x(x2+1)

[_linear]

19076

y+y(x2+1)3/2=x+x2+1(x2+1)2

[_linear]

19136

y2+2yycot(x)=y2

[_separable]

19138

y(yy)=(x+y)x

[_quadrature]

19141

xy2+(yx)yy=0

[_quadrature]

19144

y3y(y2+xy+x2)+xy(x+y)=0

[_quadrature]

19145

(y+y+x)(y+x+xy)(y+2x)=0

[_quadrature]

19158

y=sin(x)y+cos(x)

[_linear]

19231

4y2x2(1+x)4yxy(4x3)+(16x9)y2=0

[_separable]

19234

yxy=b(1+x2y)

[_separable]

19430

yxy=0

[_separable]

19439

cos(x)y+ysin(x)=1

[_linear]

19440

y+2xy=ex2

[_linear]

19465

y3(y2+xy+x2)y2+(x3y+y2x2+xy3)yx3y3=0

[_quadrature]