2.2.116 Problems 11501 to 11600

Table 2.233: Main lookup table. Sorted sequentially by problem number.

#

ODE

CAS classification

Solved?

time (sec)

11501

y12y+12y16x4ex2=0

[[_high_order, _linear, _nonhomogeneous]]

0.186

11502

y+2a2y+a4ycosh(ax)=0

[[_high_order, _linear, _nonhomogeneous]]

0.860

11503

y+(λ+1)a2y+λa4y=0

[[_high_order, _missing_x]]

0.097

11504

y+a(bx1)y+aby+λy=0

[[_high_order, _with_linear_symmetries]]

0.040

11505

y+(ax2+bλ+c)y+(ax2+βλ+γ)y=0

[[_high_order, _with_linear_symmetries]]

0.048

11506

y+2y3y4y+4y32sin(2x)+24cos(2x)=0

[[_high_order, _linear, _nonhomogeneous]]

0.169

11507

y+4axy+6a2x2y+4a3x3y+a4x4y=0

[[_high_order, _with_linear_symmetries]]

0.045

11508

4y12y+11y3y4cos(x)=0

[[_high_order, _missing_y]]

0.132

11509

xy+5y24=0

[[_high_order, _missing_y]]

0.191

11510

xy(6x2+1)y+12x3y(9x27)x2y+2(x23)x3y=0

[[_high_order, _with_linear_symmetries]]

0.054

11511

x2y2(ν2x2+6)y+ν2(ν2x2+4)y=0

[[_high_order, _with_linear_symmetries]]

0.047

11512

x2y+2xy+aybx2=0

[[_high_order, _linear, _nonhomogeneous]]

0.042

11513

x2y+4xy+2y=0

[[_high_order, _missing_y]]

0.083

11514

x2y+6xy+6y=0

[[_high_order, _missing_y]]

0.198

11515

x2y+6xy+6yλ2y=0

[[_high_order, _with_linear_symmetries]]

0.038

11516

x2y+8xy+12y=0

[[_high_order, _missing_y]]

0.263

11517

x2y+8xy+12yλ2y=0

[[_high_order, _with_linear_symmetries]]

0.038

11518

x2y+(2n2ν+4)xy+(nν+1)(nν+2)yb4y16=0

[[_high_order, _with_linear_symmetries]]

0.046

11519

x3y+2x2yxy+ya4x3y=0

[[_high_order, _with_linear_symmetries]]

0.043

11520

x3y+6x2y+6xy=0

[[_high_order, _missing_y]]

0.283

11521

x4y2n(n+1)x2y+4n(n+1)xy+(ax4+n(n+1)(3+n)(n2))y=0

[[_high_order, _with_linear_symmetries]]

0.052

11522

x4y+4x3y(4n21)x2y+(4n21)xy4yx4=0

[[_high_order, _with_linear_symmetries]]

0.072

11523

x4y+4x3y(4n21)x2y(4n21)xy+(4x4+4n21)y=0

[[_high_order, _with_linear_symmetries]]

0.051

11524

x4y+4x3y(4n2+3)x2y+(12n23)xy(4x4+12n23)y=0

[[_high_order, _with_linear_symmetries]]

0.052

11525

x4y+6x3y+(4x4+(ρ2σ2+7)x2)y+(16x3+(ρ2σ2+1)x)y+(ρ2σ2+8x2)y=0

[[_high_order, _with_linear_symmetries]]

0.053

11526

x4y+6x3y+(4x4+(2μ22ν2+7)x2)y+(16x3+(2μ22ν2+1)x)y+(8x2+(μ2ν2)2)y=0

[[_high_order, _with_linear_symmetries]]

0.056

11527

x4y+8x3y+12x2y=0

[[_high_order, _missing_y]]

0.122

11528

x4y+8x3y+12x2y+ay=0

[[_high_order, _with_linear_symmetries]]

0.151

11529

x4y+(64a)x3y+(4b2c2x2c+6(a1)22c2(μ2+ν2)+1)x2y+(4(3c2a+1)b2c2x2c+(2a1)(2c2(μ2+ν2)2a(a1)1))xy+(4(ac)(a2c)b2c2x2c+(cμ+cν+a)(cμ+cνa)(cμcν+a)(cμcνa))y=0

[[_high_order, _with_linear_symmetries]]

0.122

11530

x4y+(64a4c)x3y+(2ν2c2+2a2+4(a+c1)2+4(a1)(c1)1)x2y+(2ν2c22a2(2a1)(2c1))(2a+2c1)xy+((ν2c2+a2)(ν2c2+a2+4ac+4c2)b4c4x4c)y=0

[[_high_order, _with_linear_symmetries]]

0.110

11531

ν4x4y+(4ν2)ν3x3y+(ν1)(2ν1)ν2x2yb4x2νy16=0

[[_high_order, _with_linear_symmetries]]

0.073

11532

(x21)2y+10x(x21)y+(24x282(μ(μ+1)+ν(ν+1))(x21))y6x(μ(μ+1)+ν(ν+1)2)y+((μ(μ+1)ν(ν+1))22μ(μ+1)2ν(ν+1))y=0

[[_high_order, _with_linear_symmetries]]

0.067

11533

(ex+2x)y+4(ex+2)y+6exy+4exy+yex1x5=0

[[_high_order, _fully, _exact, _linear]]

0.348

11534

ysin(x)4+2ysin(x)3cos(x)+ysin(x)2(sin(x)23)+ysin(x)cos(x)(2sin(x)2+3)+(a4sin(x)43)y=0

[[_high_order, _with_linear_symmetries]]

0.094

11535

ysin(x)6+4ysin(x)5cos(x)6ysin(x)64ysin(x)5cos(x)+ysin(x)6f=0

[[_high_order, _linear, _nonhomogeneous]]

0.079

11536

f(y2a2y+a4y)+2df(ya2y)=0

[[_high_order, _missing_x]]

0.084

11537

fy=0

[[_high_order, _quadrature]]

0.046

11538

y2a2y+a4yλ(axb)(ya2y)=0

[[_high_order, _with_linear_symmetries]]

0.053

11539

y(5)+2y+yaxbsin(x)ccos(x)=0

[[_high_order, _missing_y]]

1.356

11540

y(6)+ysin(3x2)sin(x2)=0

[[_high_order, _linear, _nonhomogeneous]]

2.714

11541

y(5)yaxb=0

[[_high_order, _linear, _nonhomogeneous]]

0.036

11542

y(5)+axνy+aνxν1y=0

[[_high_order, _with_linear_symmetries]]

0.062

11543

y(5)+ayf=0

[[_high_order, _missing_x]]

0.106

11544

xy(5)mny+yax=0

[[_high_order, _with_linear_symmetries]]

0.040

11545

x(ay+by+cy+ey)y=0

[[_high_order, _missing_x]]

0.333

11546

xy(5)(aA1A0)xA1((aA2A1)x+A2)y=0

[[_high_order, _missing_y]]

0.076

11547

x2yay=0

[[_high_order, _with_linear_symmetries]]

0.036

11548

x10y(5)ay=0

[[_high_order, _with_linear_symmetries]]

0.039

11549

x5/2y(5)ay=0

[[_high_order, _with_linear_symmetries]]

0.059

11550

(xa)5(xb)5y(5)cy=0

[[_high_order, _with_linear_symmetries]]

0.059

11551

yy2=0

[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]]

4.400

11552

y6y2=0

[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]]

4.250

11553

y6y2x=0

[[_Painleve, ‘1st‘]]

0.130

11554

y6y2+4y=0

[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]]

6.021

11555

y+ay2+bx+c=0

[NONE]

0.127

11556

y2y3xy+a=0

[[_Painleve, ‘2nd‘]]

0.141

11557

yay3=0

[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]]

5.888

11558

y2a2y3+2abxyb=0

[NONE]

0.137

11559

y+d+bxy+cy+ay3=0

[NONE]

0.140

11560

y+d+by2+cy+ay3=0

[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]]

4.877

11561

y+axry2=0

[[_Emden, _Fowler], [_2nd_order, _with_linear_symmetries]]

0.124

11562

y+6a10y11y=0

[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]]

2.871

11563

y1(ay2+bxy+cx2+αy+βx+γ)3/2=0

[NONE]

0.306

11564

yey=0

[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]]

1.835

11565

y+aexy=0

[[_2nd_order, _with_linear_symmetries]]

0.157

11566

y+exsin(y)=0

[NONE]

0.343

11567

y+asin(y)=0

[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]]

87.556

11568

y+a2sin(y)βsin(x)=0

[NONE]

0.875

11569

y+a2sin(y)βf(x)=0

[NONE]

0.683

11570

y=f(yx)x3/2

[[_2nd_order, _with_linear_symmetries]]

0.442

11571

y3yy22y=0

[[_2nd_order, _missing_x]]

1.821

11572

y7yy3/2+12y=0

[[_2nd_order, _missing_x]]

7.347

11573

y+5ay6y2+6a2y=0

[[_2nd_order, _missing_x]]

2.241

11574

y+3ay2y3+2a2y=0

[[_2nd_order, _missing_x]]

2.566

11575

y(3n+4)yn2(n+1)(2+n)y(ynn+11)n2=0

[[_2nd_order, _missing_x]]

143.115

11576

y+ay+byn+(a21)y4=0

[[_2nd_order, _missing_x]]

5.524

11577

y+ay+bxvyn=0

[NONE]

0.148

11578

y+ay+bey2a=0

[[_2nd_order, _missing_x]]

4.215

11579

y+ay+f(x)sin(y)=0

[NONE]

0.453

11580

y+yyy3=0

[[_2nd_order, _missing_x]]

1.510

11581

y+yyy3+ay=0

[[_2nd_order, _missing_x]]

4.688

11582

y+(y+3a)yy3+ay2+2a2y=0

[[_2nd_order, _missing_x]]

4.417

11583

y+(y+3f(x))yy3+y2f(x)+y(f(x)+2f(x)2)=0

[NONE]

0.302

11584

y+(3y+f(x))y+y3+y2f(x)=0

[[_2nd_order, _with_potential_symmetries]]

0.256

11585

y3yy3ay24a2yb=0

[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1], [_2nd_order, _reducible, _mu_xy]]

3.553

11586

y(3y+f(x))y+y3+y2f(x)=0

[[_2nd_order, _with_potential_symmetries]]

0.187

11587

y2ayy=0

[[_2nd_order, _missing_x], [_2nd_order, _exact, _nonlinear], _Lagerstrom, [_2nd_order, _reducible, _mu_x_y1], [_2nd_order, _reducible, _mu_xy]]

1.475

11588

y+ayy+by3=0

[[_2nd_order, _missing_x]]

1639.574

11589

y+ay2+by=0

[[_2nd_order, _missing_x]]

2.568

11590

y+ay2+by+cy=0

[[_2nd_order, _missing_x]]

1.893

11591

y+ay2+bsin(y)=0

[[_2nd_order, _missing_x]]

10.376

11592

y+ay|y|+bsin(y)=0

[[_2nd_order, _missing_x]]

4.743

11593

y+ayy2+by=0

[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]]

3.252

11594

y+ay(1+y2)2=0

[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]]

7.942

11595

ya(y+xy)v=0

[[_2nd_order, _with_linear_symmetries]]

0.179

11596

ykxaybyr=0

[[_2nd_order, _with_linear_symmetries]]

0.156

11597

y=a1+y2

[[_2nd_order, _missing_x]]

2.880

11598

y=a1+y2+b

[[_2nd_order, _missing_x]]

3.236

11599

y=ay2+by2

[[_2nd_order, _missing_x]]

1.205

11600

y=a(1+y2)3/2

[[_2nd_order, _missing_x]]

2.834