2.3.17 first order ode autonomous

Table 2.427: first order ode autonomous

#

ODE

CAS classification

Solved?

29

\[ {}y^{\prime } = y^{{1}/{3}} \]
i.c.

[_quadrature]

30

\[ {}y^{\prime } = y^{{1}/{3}} \]
i.c.

[_quadrature]

35

\[ {}y^{\prime } = \ln \left (1+y^{2}\right ) \]
i.c.

[_quadrature]

63

\[ {}1+y^{\prime } = 2 y \]
i.c.

[_quadrature]

69

\[ {}y^{\prime } = y^{2} \]
i.c.

[_quadrature]

71

\[ {}y^{\prime } = 2 \sqrt {y} \]
i.c.

[_quadrature]

72

\[ {}y^{\prime } = y \sqrt {y^{2}-1} \]
i.c.

[_quadrature]

73

\[ {}y^{\prime }+y = 2 \]
i.c.

[_quadrature]

125

\[ {}y^{\prime } = y+y^{3} \]

[_quadrature]

171

\[ {}x^{\prime } = x-x^{2} \]
i.c.

[_quadrature]

172

\[ {}x^{\prime } = 10 x-x^{2} \]
i.c.

[_quadrature]

173

\[ {}x^{\prime } = 1-x^{2} \]
i.c.

[_quadrature]

174

\[ {}x^{\prime } = 9-4 x^{2} \]
i.c.

[_quadrature]

175

\[ {}x^{\prime } = 3 x \left (5-x\right ) \]
i.c.

[_quadrature]

176

\[ {}x^{\prime } = 3 x \left (5-x\right ) \]
i.c.

[_quadrature]

177

\[ {}x^{\prime } = 4 x \left (7-x\right ) \]
i.c.

[_quadrature]

178

\[ {}x^{\prime } = 7 x \left (x-13\right ) \]
i.c.

[_quadrature]

231

\[ {}y^{\prime }+y^{2} = 0 \]

[_quadrature]

671

\[ {}y^{\prime } = y^{{1}/{3}} \]
i.c.

[_quadrature]

672

\[ {}y^{\prime } = y^{{1}/{3}} \]
i.c.

[_quadrature]

675

\[ {}y^{\prime } = \ln \left (1+y^{2}\right ) \]
i.c.

[_quadrature]

698

\[ {}1+y^{\prime } = 2 y \]
i.c.

[_quadrature]

704

\[ {}y^{\prime }+y = 2 \]
i.c.

[_quadrature]

749

\[ {}y^{\prime } = y+y^{3} \]

[_quadrature]

1065

\[ {}y^{\prime } = 1+y^{2} \]
i.c.

[_quadrature]

1157

\[ {}y^{\prime } = \frac {b +a y}{d +c y} \]

[_quadrature]

1176

\[ {}y^{3}+y^{\prime } = 0 \]

[_quadrature]

1182

\[ {}y^{\prime } = a y+b y^{2} \]

[_quadrature]

1183

\[ {}y^{\prime } = y \left (-2+y\right ) \left (-1+y\right ) \]

[_quadrature]

1184

\[ {}y^{\prime } = -1+{\mathrm e}^{y} \]

[_quadrature]

1185

\[ {}y^{\prime } = -1+{\mathrm e}^{-y} \]

[_quadrature]

1186

\[ {}y^{\prime } = -\frac {2 \arctan \left (y\right )}{1+y^{2}} \]

[_quadrature]

1187

\[ {}y^{\prime } = -k \left (-1+y\right )^{2} \]

[_quadrature]

1188

\[ {}y^{\prime } = y^{2} \left (-1+y^{2}\right ) \]

[_quadrature]

1189

\[ {}y^{\prime } = y \left (1-y^{2}\right ) \]

[_quadrature]

1190

\[ {}y^{\prime } = -b \sqrt {y}+a y \]

[_quadrature]

1191

\[ {}y^{\prime } = y^{2} \left (4-y^{2}\right ) \]

[_quadrature]

1192

\[ {}y^{\prime } = \left (1-y\right )^{2} y^{2} \]

[_quadrature]

1519

\[ {}y^{\prime } = 2 y \]

[_quadrature]

1534

\[ {}y^{\prime } = a y^{\frac {a -1}{a}} \]

[_quadrature]

1535

\[ {}y^{\prime } = {| y|}+1 \]
i.c.

[_quadrature]

1537

\[ {}y^{\prime }+a y = 0 \]

[_quadrature]

1548

\[ {}y^{\prime }+3 y = 1 \]

[_quadrature]

1574

\[ {}\sec \left (y\right )^{2} y^{\prime }-3 \tan \left (y\right ) = -1 \]

[_quadrature]

1596

\[ {}y^{\prime } = 2 y-y^{2} \]
i.c.

[_quadrature]

1603

\[ {}y^{\prime } = a y-b y^{2} \]
i.c.

[_quadrature]

1621

\[ {}y^{\prime } = y^{{2}/{5}} \]
i.c.

[_quadrature]

1638

\[ {}y^{\prime }-2 y = 2 \sqrt {y} \]
i.c.

[_quadrature]

1682

\[ {}14 y^{3} x^{2}+21 x^{2} y^{2} y^{\prime } = 0 \]

[_quadrature]

1715

\[ {}2 y^{3}+3 y^{2} y^{\prime } = 0 \]

[_quadrature]

1792

\[ {}y^{\prime }+y^{2}+k^{2} = 0 \]

[_quadrature]

1793

\[ {}y^{\prime }+y^{2}-3 y+2 = 0 \]

[_quadrature]

1794

\[ {}y^{\prime }+y^{2}+5 y-6 = 0 \]

[_quadrature]

1795

\[ {}y^{\prime }+y^{2}+8 y+7 = 0 \]

[_quadrature]

1796

\[ {}y^{\prime }+y^{2}+14 y+50 = 0 \]

[_quadrature]

1797

\[ {}6 y^{\prime }+6 y^{2}-y-1 = 0 \]

[_quadrature]

1798

\[ {}36 y^{\prime }+36 y^{2}-12 y+1 = 0 \]

[_quadrature]

2328

\[ {}y^{\prime } = k \left (a -y\right ) \left (b -y\right ) \]
i.c.

[_quadrature]

2499

\[ {}y^{\prime } = k \left (a -y\right ) \left (b -y\right ) \]
i.c.

[_quadrature]

2809

\[ {}x^{\prime } = x \left (-x+1\right ) \]

[_quadrature]

2810

\[ {}x^{\prime } = -x \left (-x+1\right ) \]

[_quadrature]

2811

\[ {}x^{\prime } = x^{2} \]

[_quadrature]

2865

\[ {}y^{\prime } = {\mathrm e}^{y} \]
i.c.

[_quadrature]

2866

\[ {}{\mathrm e}^{y} \left (1+y^{\prime }\right ) = 1 \]
i.c.

[_quadrature]

3058

\[ {}y^{\prime }-y = 0 \]

[_quadrature]

3286

\[ {}x y {y^{\prime }}^{2}+\left (x +y\right ) y^{\prime }+1 = 0 \]

[_quadrature]

3289

\[ {}\left (1-y^{2}\right ) {y^{\prime }}^{2} = 1 \]

[_quadrature]

3294

\[ {}y {y^{\prime }}^{2}+\left (y^{2}-x^{3}-x y^{2}\right ) y^{\prime }-x y \left (x^{2}+y^{2}\right ) = 0 \]

[_quadrature]

3297

\[ {}y \left (1+{y^{\prime }}^{2}\right ) = 2 \]

[_quadrature]

3425

\[ {}y^{\prime } = 2 y-4 \]
i.c.

[_quadrature]

3426

\[ {}y^{\prime } = -y^{3} \]
i.c.

[_quadrature]

3433

\[ {}y^{\prime } = y^{2}-y \]

[_quadrature]

3434

\[ {}y^{\prime } = -1+y \]

[_quadrature]

3435

\[ {}y^{\prime } = 1-y \]

[_quadrature]

3436

\[ {}y^{\prime } = y^{3}-y^{2} \]

[_quadrature]

3437

\[ {}y^{\prime } = 1-y^{2} \]

[_quadrature]

3439

\[ {}y^{\prime } = -y \]

[_quadrature]

3447

\[ {}y^{\prime } = y \]
i.c.

[_quadrature]

3448

\[ {}y^{\prime } = 2 y \]
i.c.

[_quadrature]

3561

\[ {}y^{\prime } = -y^{2} \]

[_quadrature]

3608

\[ {}y^{\prime } = \frac {2 \sqrt {y-1}}{3} \]
i.c.

[_quadrature]

3609

\[ {}m v^{\prime } = m g -k v^{2} \]
i.c.

[_quadrature]

4099

\[ {}y^{\prime }+y = 0 \]

[_quadrature]

4218

\[ {}y^{\prime } = 3 \cos \left (y\right )^{2} \]

[_quadrature]

4306

\[ {}y^{2} y^{\prime } = 2+3 y^{6} \]
i.c.

[_quadrature]

4662

\[ {}y^{\prime } = a +b y^{2} \]

[_quadrature]

4667

\[ {}y^{\prime } = \operatorname {a0} +\operatorname {a1} y+\operatorname {a2} y^{2} \]

[_quadrature]

4688

\[ {}y^{\prime } = y \left (a +b y^{2}\right ) \]

[_quadrature]

4689

\[ {}y^{\prime } = \operatorname {a0} +\operatorname {a1} y+\operatorname {a2} y^{2}+\operatorname {a3} y^{3} \]

[_quadrature]

4700

\[ {}y^{\prime } = \sqrt {{| y|}} \]

[_quadrature]

4701

\[ {}y^{\prime } = a +b y+\sqrt {\operatorname {A0} +\operatorname {B0} y} \]

[_quadrature]

4705

\[ {}y^{\prime } = \sqrt {a +b y^{2}} \]

[_quadrature]

4706

\[ {}y^{\prime } = y \sqrt {a +b y} \]

[_quadrature]

4713

\[ {}y^{\prime } = a +b \cos \left (y\right ) \]

[_quadrature]

4725

\[ {}y^{\prime } = a +b \sin \left (y\right ) \]

[_quadrature]

4729

\[ {}y^{\prime } = \sqrt {a +b \cos \left (y\right )} \]

[_quadrature]

4735

\[ {}y^{\prime } = a f \left (y\right ) \]

[_quadrature]

5024

\[ {}y y^{\prime } = \operatorname {a0} +\operatorname {a1} y+\operatorname {a2} y^{2} \]

[_quadrature]

5027

\[ {}y y^{\prime } = \sqrt {y^{2}+a^{2}} \]

[_quadrature]

5028

\[ {}y y^{\prime } = \sqrt {y^{2}-a^{2}} \]

[_quadrature]

5117

\[ {}x \left (y+2\right ) y^{\prime }+a x = 0 \]

[_quadrature]

5347

\[ {}{y^{\prime }}^{2} = \left (y-a \right ) \left (y-b \right ) \left (y-c \right ) \]

[_quadrature]

5349

\[ {}{y^{\prime }}^{2} = a^{2} \left (1-\ln \left (y\right )^{2}\right ) y^{2} \]

[_quadrature]

5395

\[ {}{y^{\prime }}^{2}+\left (2 y+1\right ) y^{\prime }+y \left (y-1\right ) = 0 \]

[_quadrature]

5406

\[ {}{y^{\prime }}^{2}-\left (x -y\right ) y y^{\prime }-x y^{3} = 0 \]

[_separable]

5455

\[ {}{y^{\prime }}^{2} x +\left (1-x \right ) y y^{\prime }-y^{2} = 0 \]

[_quadrature]

5519

\[ {}y {y^{\prime }}^{2} = a \]

[_quadrature]

5529

\[ {}y {y^{\prime }}^{2}-\left (1+x y\right ) y^{\prime }+x = 0 \]

[_quadrature]

5530

\[ {}y {y^{\prime }}^{2}+\left (x -y^{2}\right ) y^{\prime }-x y = 0 \]

[_quadrature]

5531

\[ {}y {y^{\prime }}^{2}+y = a \]

[_quadrature]

5538

\[ {}x y {y^{\prime }}^{2}+\left (x +y\right ) y^{\prime }+1 = 0 \]

[_quadrature]

5547

\[ {}y^{2} {y^{\prime }}^{2} = a^{2} \]

[_quadrature]

5548

\[ {}y^{2} {y^{\prime }}^{2}-a^{2}+y^{2} = 0 \]

[_quadrature]

5552

\[ {}y^{2} {y^{\prime }}^{2}-\left (x +1\right ) y y^{\prime }+x = 0 \]

[_quadrature]

5558

\[ {}\left (1-y^{2}\right ) {y^{\prime }}^{2} = 1 \]

[_quadrature]

5572

\[ {}\left (2-3 y\right )^{2} {y^{\prime }}^{2} = 4-4 y \]

[_quadrature]

5615

\[ {}{y^{\prime }}^{3}-\left (2 x +y^{2}\right ) {y^{\prime }}^{2}+\left (x^{2}-y^{2}+2 x y^{2}\right ) y^{\prime }-\left (x^{2}-y^{2}\right ) y^{2} = 0 \]

[_quadrature]

5616

\[ {}{y^{\prime }}^{3}-\left (y^{2}+x y+x^{2}\right ) {y^{\prime }}^{2}+x y \left (y^{2}+x y+x^{2}\right ) y^{\prime }-x^{3} y^{3} = 0 \]

[_quadrature]

5617

\[ {}{y^{\prime }}^{3}-\left (x^{2}+x y^{2}+y^{4}\right ) {y^{\prime }}^{2}+x y^{2} \left (x^{2}+x y^{2}+y^{4}\right ) y^{\prime }-x^{3} y^{6} = 0 \]

[_quadrature]

5651

\[ {}{y^{\prime }}^{4}+4 y {y^{\prime }}^{3}+6 y^{2} {y^{\prime }}^{2}-\left (1-4 y^{3}\right ) y^{\prime }-\left (3-y^{3}\right ) y = 0 \]

[_quadrature]

5652

\[ {}2 {y^{\prime }}^{4}-y y^{\prime }-2 = 0 \]

[_quadrature]

5654

\[ {}3 {y^{\prime }}^{5}-y y^{\prime }+1 = 0 \]

[_quadrature]

5674

\[ {}y^{\prime } \sin \left (y^{\prime }\right )+\cos \left (y^{\prime }\right ) = y \]

[_quadrature]

5678

\[ {}{\mathrm e}^{y^{\prime }-y}-{y^{\prime }}^{2}+1 = 0 \]

[_quadrature]

5696

\[ {}y^{2} \left (1+{y^{\prime }}^{2}\right ) = R^{2} \]

[_quadrature]

5840

\[ {}y^{\prime }+a y = b \]

[_quadrature]

6036

\[ {}y^{\prime }+b^{2} y^{2} = a^{2} \]

[_quadrature]

6092

\[ {}y^{\prime } = y \]

[_quadrature]

6101

\[ {}\left (y+1\right ) y^{\prime } = y \]
i.c.

[_quadrature]

6103

\[ {}2 y^{\prime } = 3 \left (y-2\right )^{{1}/{3}} \]
i.c.

[_quadrature]

6257

\[ {}y^{\prime } = 4 y^{2}-3 y+1 \]

[_quadrature]

6269

\[ {}x^{\prime }-x^{3} = x \]

[_quadrature]

6286

\[ {}y^{\prime } = y^{{1}/{3}} \]

[_quadrature]

6287

\[ {}y^{\prime } = y^{{1}/{3}} \]
i.c.

[_quadrature]

6293

\[ {}y^{\prime } = y^{2}-3 y+2 \]
i.c.

[_quadrature]

6321

\[ {}u^{\prime } = \alpha \left (1-u\right )-\beta u \]

[_quadrature]

6685

\[ {}\left (3 y-1\right )^{2} {y^{\prime }}^{2} = 4 y \]

[_quadrature]

6688

\[ {}y \left (3-4 y\right )^{2} {y^{\prime }}^{2} = 4-4 y \]

[_quadrature]

6886

\[ {}2 y^{\prime }+y = 0 \]

[_quadrature]

6887

\[ {}y^{\prime }+20 y = 24 \]

[_quadrature]

6891

\[ {}y^{\prime } = 25+y^{2} \]

[_quadrature]

6894

\[ {}x^{\prime } = \left (x-1\right ) \left (1-2 x\right ) \]

[_quadrature]

6896

\[ {}p^{\prime } = p \left (1-p\right ) \]

[_quadrature]

6906

\[ {}y^{\prime }+2 y = 0 \]

[_quadrature]

6907

\[ {}5 y^{\prime } = 2 y \]

[_quadrature]

6915

\[ {}y^{\prime } = y^{2}+2 y-3 \]

[_quadrature]

6916

\[ {}\left (y-1\right ) y^{\prime } = 1 \]

[_quadrature]

6920

\[ {}y y^{\prime }+\sqrt {16-y^{2}} = 0 \]

[_quadrature]

6924

\[ {}y^{\prime } = \sqrt {1-y^{2}} \]

[_quadrature]

6929

\[ {}y^{\prime } = 5-y \]

[_quadrature]

6930

\[ {}y^{\prime } = y^{2}+4 \]

[_quadrature]

6933

\[ {}y^{\prime } = y-y^{2} \]
i.c.

[_quadrature]

6934

\[ {}y^{\prime } = y-y^{2} \]
i.c.

[_quadrature]

6947

\[ {}y^{\prime } = 3 y^{{2}/{3}} \]
i.c.

[_quadrature]

6949

\[ {}y^{\prime } = y^{{2}/{3}} \]

[_quadrature]

6958

\[ {}y^{\prime } = \sqrt {y^{2}-9} \]
i.c.

[_quadrature]

6959

\[ {}y^{\prime } = \sqrt {y^{2}-9} \]
i.c.

[_quadrature]

6962

\[ {}y^{\prime } = 1+y^{2} \]
i.c.

[_quadrature]

6963

\[ {}y^{\prime } = y^{2} \]
i.c.

[_quadrature]

6964

\[ {}y^{\prime } = y^{2} \]
i.c.

[_quadrature]

6965

\[ {}y^{\prime } = y^{2} \]
i.c.

[_quadrature]

6966

\[ {}y^{\prime } = y^{2} \]
i.c.

[_quadrature]

6967

\[ {}y^{\prime } = y^{2} \]
i.c.

[_quadrature]

6984

\[ {}y^{\prime } = 2 y-4 \]

[_quadrature]

6989

\[ {}y^{\prime } = y \left (y-3\right ) \]

[_quadrature]

7005

\[ {}1+{y^{\prime }}^{2} = \frac {1}{y^{2}} \]

[_quadrature]

7036

\[ {}y^{\prime } = \frac {1}{y} \]
i.c.

[_quadrature]

7037

\[ {}y^{\prime } = \frac {1}{y} \]
i.c.

[_quadrature]

7050

\[ {}y^{\prime } = y-y^{3} \]

[_quadrature]

7051

\[ {}y^{\prime } = y^{2}-y^{4} \]

[_quadrature]

7052

\[ {}y^{\prime } = y^{2}-3 y \]

[_quadrature]

7053

\[ {}y^{\prime } = y^{2}-y^{3} \]

[_quadrature]

7054

\[ {}y^{\prime } = \left (y-2\right )^{4} \]

[_quadrature]

7055

\[ {}y^{\prime } = 10+3 y-y^{2} \]

[_quadrature]

7056

\[ {}y^{\prime } = y^{2} \left (4-y^{2}\right ) \]

[_quadrature]

7057

\[ {}y^{\prime } = y \left (2-y\right ) \left (4-y\right ) \]

[_quadrature]

7058

\[ {}y^{\prime } = y \ln \left (y+2\right ) \]

[_quadrature]

7059

\[ {}y^{\prime } = \left (y \,{\mathrm e}^{y}-9 y\right ) {\mathrm e}^{-y} \]

[_quadrature]

7060

\[ {}y^{\prime } = \frac {2 y}{\pi }-\sin \left (y\right ) \]

[_quadrature]

7061

\[ {}y^{\prime } = y^{2}-y-6 \]

[_quadrature]

7062

\[ {}m v^{\prime } = m g -k v^{2} \]

[_quadrature]

7066

\[ {}y^{\prime }-\left (y-1\right )^{2} = 0 \]

[_quadrature]

7077

\[ {}s^{\prime } = k s \]

[_quadrature]

7078

\[ {}q^{\prime } = k \left (q-70\right ) \]

[_quadrature]

7079

\[ {}p^{\prime } = p-p^{2} \]

[_quadrature]

7085

\[ {}x^{\prime } = 4 x^{2}+4 \]
i.c.

[_quadrature]

7088

\[ {}y^{\prime }+2 y = 1 \]
i.c.

[_quadrature]

7091

\[ {}y^{\prime } = -y \ln \left (y\right ) \]
i.c.

[_quadrature]

7101

\[ {}y^{\prime } = y^{2}-4 \]
i.c.

[_quadrature]

7102

\[ {}y^{\prime } = y^{2}-4 \]
i.c.

[_quadrature]

7103

\[ {}y^{\prime } = y^{2}-4 \]
i.c.

[_quadrature]

7109

\[ {}y^{\prime } = \left (y-1\right )^{2} \]
i.c.

[_quadrature]

7110

\[ {}y^{\prime } = \left (y-1\right )^{2} \]
i.c.

[_quadrature]

7111

\[ {}y^{\prime } = \left (y-1\right )^{2}+\frac {1}{100} \]
i.c.

[_quadrature]

7112

\[ {}y^{\prime } = \left (y-1\right )^{2}-\frac {1}{100} \]
i.c.

[_quadrature]

7113

\[ {}y^{\prime } = y-y^{3} \]
i.c.

[_quadrature]

7114

\[ {}y^{\prime } = y-y^{3} \]
i.c.

[_quadrature]

7115

\[ {}y^{\prime } = y-y^{3} \]
i.c.

[_quadrature]

7116

\[ {}y^{\prime } = y-y^{3} \]
i.c.

[_quadrature]

7117

\[ {}y^{\prime } = \frac {1}{y-3} \]
i.c.

[_quadrature]

7118

\[ {}y^{\prime } = \frac {1}{y-3} \]
i.c.

[_quadrature]

7119

\[ {}y^{\prime } = \frac {1}{y-3} \]
i.c.

[_quadrature]

7120

\[ {}y^{\prime } = \frac {1}{y-3} \]
i.c.

[_quadrature]

7124

\[ {}y^{\prime } = y^{{2}/{3}}-y \]

[_quadrature]

7129

\[ {}y^{\prime } = \sqrt {1+y^{2}}\, \sin \left (y\right )^{2} \]
i.c.

[_quadrature]

7130

\[ {}y^{\prime } = y \]
i.c.

[_quadrature]

7134

\[ {}m^{\prime } = -\frac {k}{m^{2}} \]
i.c.

[_quadrature]

7135

\[ {}u^{\prime } = a \sqrt {1+u^{2}} \]
i.c.

[_quadrature]

7136

\[ {}x^{\prime } = k \left (A -x\right )^{2} \]
i.c.

[_quadrature]

7145

\[ {}y^{\prime } = 5 y \]

[_quadrature]

7146

\[ {}y^{\prime }+2 y = 0 \]

[_quadrature]

7148

\[ {}3 y^{\prime }+12 y = 4 \]

[_quadrature]

7173

\[ {}L i^{\prime }+R i = E \]
i.c.

[_quadrature]

7174

\[ {}T^{\prime } = k \left (T-T_{m} \right ) \]
i.c.

[_quadrature]

7199

\[ {}e^{\prime } = -\frac {e}{r c} \]
i.c.

[_quadrature]

7389

\[ {}y^{\prime } = 3 y^{{2}/{3}} \]
i.c.

[_quadrature]

7393

\[ {}\left (1+z^{\prime }\right ) {\mathrm e}^{-z} = 1 \]

[_quadrature]

7588

\[ {}y^{\prime }+5 y = 2 \]

[_quadrature]

7590

\[ {}y^{\prime } = k y \]

[_quadrature]

7591

\[ {}y^{\prime }-2 y = 1 \]

[_quadrature]

7597

\[ {}L y^{\prime }+R y = E \]

[_quadrature]

7609

\[ {}y^{\prime } = y+1 \]
i.c.

[_quadrature]

7610

\[ {}y^{\prime } = 1+y^{2} \]
i.c.

[_quadrature]

7611

\[ {}y^{\prime } = 1+y^{2} \]
i.c.

[_quadrature]

7736

\[ {}y^{\prime } = y^{2} \]
i.c.

[_quadrature]

7737

\[ {}y^{\prime } = 2 \sqrt {y} \]
i.c.

[_quadrature]

7738

\[ {}y^{\prime } = 2 \sqrt {y} \]
i.c.

[_quadrature]

7776

\[ {}y^{\prime } = k y \]

[_quadrature]

7786

\[ {}1+y^{2}+y^{2} y^{\prime } = 0 \]

[_quadrature]

8075

\[ {}y^{\prime }+y = 1 \]

[_quadrature]

8077

\[ {}y^{\prime }-y = 2 \]

[_quadrature]

8079

\[ {}y^{\prime }+y = 0 \]

[_quadrature]

8081

\[ {}y^{\prime }-y = 0 \]

[_quadrature]

8444

\[ {}y {y^{\prime }}^{2}+\left (x -y^{2}\right ) y^{\prime }-x y = 0 \]

[_quadrature]

8448

\[ {}x y {y^{\prime }}^{2}+\left (x y^{2}-1\right ) y^{\prime }-y = 0 \]

[_quadrature]

8453

\[ {}x y {y^{\prime }}^{2}+\left (x +y\right ) y^{\prime }+1 = 0 \]

[_quadrature]

8539

\[ {}y^{2} {y^{\prime }}^{2}-\left (x +1\right ) y y^{\prime }+x = 0 \]

[_quadrature]

8553

\[ {}{y^{\prime }}^{2} x +\left (1-x \right ) y y^{\prime }-y^{2} = 0 \]

[_quadrature]

8717

\[ {}y^{\prime } = y+1 \]

[_quadrature]

8720

\[ {}y^{\prime } = y \]

[_quadrature]

8730

\[ {}y^{\prime } = \sqrt {\frac {y+1}{y^{2}}} \]
i.c.

[_quadrature]

8744

\[ {}y^{\prime } = \frac {1}{1-y} \]
i.c.

[_quadrature]

8745

\[ {}p^{\prime } = a p-b p^{2} \]
i.c.

[_quadrature]

8758

\[ {}f^{\prime } = \frac {1}{f} \]

[_quadrature]

8789

\[ {}x^{\prime } = 4 A k \left (\frac {x}{A}\right )^{{3}/{4}}-3 k x \]

[_quadrature]

8794

\[ {}y^{\prime } = 2 \sqrt {y} \]
i.c.

[_quadrature]

8796

\[ {}y^{\prime } = \sqrt {1-y^{2}} \]

[_quadrature]

8860

\[ {}w^{\prime } = -\frac {1}{2}-\frac {\sqrt {1-12 w}}{2} \]
i.c.

[_quadrature]

8952

\[ {}y^{\prime } = y \left (1-y^{2}\right ) \]

[_quadrature]

8976

\[ {}h^{2}+\frac {2 a h}{\sqrt {1+{h^{\prime }}^{2}}} = b^{2} \]

[_quadrature]

8993

\[ {}y^{\prime } = y \]

[_quadrature]

8994

\[ {}y^{\prime } = b y \]

[_quadrature]

9001

\[ {}c y^{\prime } = y \]

[_quadrature]

9002

\[ {}c y^{\prime } = b y \]

[_quadrature]

9171

\[ {}y^{\prime } = y^{{1}/{3}} \]
i.c.

[_quadrature]

10026

\[ {}y^{\prime }+y^{2}-1 = 0 \]

[_quadrature]

10031

\[ {}y^{\prime }-y^{2}-3 y+4 = 0 \]

[_quadrature]

10037

\[ {}y^{\prime }+a y^{2}-b = 0 \]

[_quadrature]

10040

\[ {}y^{\prime }-\left (A y-a \right ) \left (B y-b \right ) = 0 \]

[_quadrature]

10053

\[ {}y^{\prime }-\operatorname {a3} y^{3}-\operatorname {a2} y^{2}-\operatorname {a1} y-\operatorname {a0} = 0 \]

[_quadrature]

10070

\[ {}y^{\prime }-\sqrt {{| y|}} = 0 \]

[_quadrature]

10072

\[ {}y^{\prime }-a \sqrt {1+y^{2}}-b = 0 \]

[_quadrature]

10089

\[ {}y^{\prime }-a \cos \left (y\right )+b = 0 \]

[_quadrature]

10219

\[ {}y y^{\prime }-\sqrt {a y^{2}+b} = 0 \]

[_quadrature]

10367

\[ {}y^{\prime } \cos \left (a y\right )-b \left (1-c \cos \left (a y\right )\right ) \sqrt {\cos \left (a y\right )^{2}-1+c \cos \left (a y\right )} = 0 \]

[_quadrature]

10378

\[ {}{y^{\prime }}^{2}+a^{2} y^{2} \left (\ln \left (y\right )^{2}-1\right ) = 0 \]

[_quadrature]

10399

\[ {}{y^{\prime }}^{2}+y \left (y-x \right ) y^{\prime }-x y^{3} = 0 \]

[_separable]

10463

\[ {}y {y^{\prime }}^{2}-1 = 0 \]

[_quadrature]

10487

\[ {}y^{2} {y^{\prime }}^{2}-a^{2}+y^{2} = 0 \]

[_quadrature]

10527

\[ {}{y^{\prime }}^{3}-\left (y^{2}+x y+x^{2}\right ) {y^{\prime }}^{2}+\left (x y^{3}+y^{2} x^{2}+x^{3} y\right ) y^{\prime }-x^{3} y^{3} = 0 \]

[_quadrature]

10554

\[ {}a {y^{\prime }}^{m}+b {y^{\prime }}^{n}-y = 0 \]

[_quadrature]

10569

\[ {}{y^{\prime }}^{2} \sin \left (y^{\prime }\right )-y = 0 \]

[_quadrature]

11923

\[ {}y^{\prime } = f \left (y\right ) \]

[_quadrature]

12247

\[ {}y y^{\prime }-y = A \]

[_quadrature]

12802

\[ {}{y^{\prime }}^{3}-\left (2 x +y^{2}\right ) {y^{\prime }}^{2}+\left (x^{2}-y^{2}+2 x y^{2}\right ) y^{\prime }-\left (x^{2}-y^{2}\right ) y^{2} = 0 \]

[_quadrature]

12822

\[ {}y^{2} \left (1+{y^{\prime }}^{2}\right ) = a^{2} \]

[_quadrature]

12839

\[ {}y \left (3-4 y\right )^{2} {y^{\prime }}^{2} = 4-4 y \]

[_quadrature]

12948

\[ {}x^{\prime } = -x^{2} \]

[_quadrature]

12950

\[ {}x^{\prime } = {\mathrm e}^{-x} \]

[_quadrature]

12955

\[ {}x^{\prime } = x \left (1-\frac {x}{4}\right ) \]

[_quadrature]

12965

\[ {}x^{\prime } = \sqrt {x} \]
i.c.

[_quadrature]

12966

\[ {}x^{\prime } = {\mathrm e}^{-2 x} \]
i.c.

[_quadrature]

12967

\[ {}y^{\prime } = 1+y^{2} \]

[_quadrature]

12968

\[ {}u^{\prime } = \frac {1}{5-2 u} \]

[_quadrature]

12969

\[ {}x^{\prime } = a x+b \]

[_quadrature]

12970

\[ {}Q^{\prime } = \frac {Q}{4+Q^{2}} \]

[_quadrature]

12971

\[ {}x^{\prime } = {\mathrm e}^{x^{2}} \]

[_quadrature]

12972

\[ {}y^{\prime } = r \left (a -y\right ) \]

[_quadrature]

12977

\[ {}y^{\prime }+y+\frac {1}{y} = 0 \]

[_quadrature]

12979

\[ {}y^{\prime } = \frac {1}{2 y+1} \]
i.c.

[_quadrature]

12983

\[ {}x^{\prime } = x \left (x+4\right ) \]
i.c.

[_quadrature]

13019

\[ {}x^{\prime } = a x+b \]

[_quadrature]

13025

\[ {}x^{\prime } = a x+b x^{3} \]

[_quadrature]

13192

\[ {}y^{\prime } = y^{{1}/{3}} \]
i.c.

[_quadrature]

13635

\[ {}x^{\prime } = -x+1 \]

[_quadrature]

13636

\[ {}x^{\prime } = x \left (2-x\right ) \]

[_quadrature]

13637

\[ {}x^{\prime } = \left (1+x\right ) \left (2-x\right ) \sin \left (x\right ) \]

[_quadrature]

13638

\[ {}x^{\prime } = -x \left (-x+1\right ) \left (2-x\right ) \]

[_quadrature]

13639

\[ {}x^{\prime } = x^{2}-x^{4} \]

[_quadrature]

13643

\[ {}x^{\prime } = -x^{2} \]

[_quadrature]

13645

\[ {}x^{\prime }+p x = q \]

[_quadrature]

13648

\[ {}x^{\prime } = \lambda x \]

[_quadrature]

13649

\[ {}m v^{\prime } = -m g +k v^{2} \]

[_quadrature]

13650

\[ {}x^{\prime } = k x-x^{2} \]
i.c.

[_quadrature]

13651

\[ {}x^{\prime } = -x \left (k^{2}+x^{2}\right ) \]
i.c.

[_quadrature]

13670

\[ {}x^{\prime } = k x-x^{2} \]

[_quadrature]

13786

\[ {}y = {y^{\prime }}^{4}-{y^{\prime }}^{3}-2 \]

[_quadrature]

13807

\[ {}y \left (1+{y^{\prime }}^{2}\right ) = a \]

[_quadrature]

13887

\[ {}y y^{\prime } = 1 \]

[_quadrature]

14236

\[ {}y^{\prime }+\frac {1}{2 y} = 0 \]

[_quadrature]

14238

\[ {}y^{\prime }-2 \sqrt {{| y|}} = 0 \]

[_quadrature]

14240

\[ {}y^{\prime }-y^{2} = 1 \]

[_quadrature]

14243

\[ {}y^{\prime }+3 y = 0 \]

[_quadrature]

14259

\[ {}y^{\prime } = 3 y^{{2}/{3}} \]

[_quadrature]

14274

\[ {}y^{\prime } = 1-y \]

[_quadrature]

14275

\[ {}y^{\prime } = y+1 \]

[_quadrature]

14276

\[ {}y^{\prime } = y^{2}-4 \]

[_quadrature]

14277

\[ {}y^{\prime } = 4-y^{2} \]

[_quadrature]

14286

\[ {}y^{\prime } = 1+y^{2} \]

[_quadrature]

14287

\[ {}y^{\prime } = y^{2}-3 y \]

[_quadrature]

14289

\[ {}y^{\prime } = {| y|} \]

[_quadrature]

14297

\[ {}y^{\prime } = \ln \left (y-1\right ) \]

[_quadrature]

14298

\[ {}y^{\prime } = \sqrt {\left (y+2\right ) \left (y-1\right )} \]

[_quadrature]

14306

\[ {}y^{\prime } = 4 y-5 \]
i.c.

[_quadrature]

14307

\[ {}y^{\prime }+3 y = 1 \]
i.c.

[_quadrature]

14308

\[ {}y^{\prime } = b +a y \]
i.c.

[_quadrature]

14328

\[ {}y^{\prime } = 3 y \]
i.c.

[_quadrature]

14329

\[ {}y^{\prime } = 1-y \]
i.c.

[_quadrature]

14330

\[ {}y^{\prime } = 1-y \]
i.c.

[_quadrature]

14334

\[ {}y^{\prime } = -2 y+y^{2} \]
i.c.

[_quadrature]

14338

\[ {}2 y y^{\prime } = 1 \]

[_quadrature]

14343

\[ {}y^{\prime } = 4 y+1 \]
i.c.

[_quadrature]

14363

\[ {}y^{\prime } = y^{2} \]
i.c.

[_quadrature]

14364

\[ {}y^{\prime } = y^{2} \]
i.c.

[_quadrature]

14365

\[ {}y^{\prime } = y^{2} \]
i.c.

[_quadrature]

14366

\[ {}y^{\prime } = y^{3} \]
i.c.

[_quadrature]

14367

\[ {}y^{\prime } = y^{3} \]
i.c.

[_quadrature]

14368

\[ {}y^{\prime } = y^{3} \]
i.c.

[_quadrature]

14383

\[ {}y^{\prime } = \sqrt {\left (y+2\right ) \left (y-1\right )} \]
i.c.

[_quadrature]

14384

\[ {}y^{\prime } = \sqrt {\left (y+2\right ) \left (y-1\right )} \]
i.c.

[_quadrature]

14430

\[ {}y^{\prime }-i y = 0 \]
i.c.

[_quadrature]

14525

\[ {}y^{\prime } = 2 y+1 \]

[_quadrature]

14526

\[ {}y^{\prime } = 2-y \]

[_quadrature]

14527

\[ {}y^{\prime } = {\mathrm e}^{-y} \]

[_quadrature]

14528

\[ {}x^{\prime } = 1+x^{2} \]

[_quadrature]

14533

\[ {}y^{\prime } = \frac {1}{2 y+1} \]

[_quadrature]

14535

\[ {}y^{\prime } = y \left (1-y\right ) \]

[_quadrature]

14540

\[ {}y^{\prime } = y^{2}-4 \]

[_quadrature]

14542

\[ {}y^{\prime } = \sec \left (y\right ) \]

[_quadrature]

14545

\[ {}y^{\prime } = -y^{2} \]
i.c.

[_quadrature]

14547

\[ {}y^{\prime } = -y^{2} \]
i.c.

[_quadrature]

14549

\[ {}y^{\prime } = 2 y+1 \]
i.c.

[_quadrature]

14552

\[ {}y^{\prime } = \frac {1-y^{2}}{y} \]
i.c.

[_quadrature]

14554

\[ {}y^{\prime } = \frac {1}{2 y+3} \]
i.c.

[_quadrature]

14556

\[ {}y^{\prime } = \frac {y^{2}+5}{y} \]
i.c.

[_quadrature]

14559

\[ {}y^{\prime } = 1-2 y \]

[_quadrature]

14560

\[ {}y^{\prime } = 4 y^{2} \]

[_quadrature]

14561

\[ {}y^{\prime } = 2 y \left (1-y\right ) \]

[_quadrature]

14563

\[ {}y^{\prime } = 3 y \left (1-y\right ) \]
i.c.

[_quadrature]

14567

\[ {}S^{\prime } = S^{3}-2 S^{2}+S \]
i.c.

[_quadrature]

14568

\[ {}S^{\prime } = S^{3}-2 S^{2}+S \]
i.c.

[_quadrature]

14569

\[ {}S^{\prime } = S^{3}-2 S^{2}+S \]
i.c.

[_quadrature]

14570

\[ {}S^{\prime } = S^{3}-2 S^{2}+S \]
i.c.

[_quadrature]

14571

\[ {}S^{\prime } = S^{3}-2 S^{2}+S \]
i.c.

[_quadrature]

14572

\[ {}y^{\prime } = y^{2}+y \]

[_quadrature]

14573

\[ {}y^{\prime } = y^{2}-y \]

[_quadrature]

14574

\[ {}y^{\prime } = y^{3}+y^{2} \]

[_quadrature]

14580

\[ {}\theta ^{\prime } = \frac {9}{10}-\frac {11 \cos \left (\theta \right )}{10} \]

[_quadrature]

14582

\[ {}\theta ^{\prime } = \frac {11}{10}-\frac {9 \cos \left (\theta \right )}{10} \]

[_quadrature]

14583

\[ {}v^{\prime } = -\frac {v}{R C} \]

[_quadrature]

14584

\[ {}v^{\prime } = \frac {K -v}{R C} \]

[_quadrature]

14586

\[ {}y^{\prime } = 2 y+1 \]
i.c.

[_quadrature]

14589

\[ {}y^{\prime } = \sin \left (y\right ) \]
i.c.

[_quadrature]

14590

\[ {}w^{\prime } = \left (3-w\right ) \left (w+1\right ) \]
i.c.

[_quadrature]

14591

\[ {}w^{\prime } = \left (3-w\right ) \left (w+1\right ) \]
i.c.

[_quadrature]

14592

\[ {}y^{\prime } = {\mathrm e}^{\frac {2}{y}} \]
i.c.

[_quadrature]

14593

\[ {}y^{\prime } = {\mathrm e}^{\frac {2}{y}} \]
i.c.

[_quadrature]

14594

\[ {}y^{\prime } = y^{2}-y^{3} \]
i.c.

[_quadrature]

14596

\[ {}y^{\prime } = \sqrt {y} \]
i.c.

[_quadrature]

14597

\[ {}y^{\prime } = 2-y \]
i.c.

[_quadrature]

14598

\[ {}\theta ^{\prime } = \frac {9}{10}-\frac {11 \cos \left (\theta \right )}{10} \]
i.c.

[_quadrature]

14599

\[ {}y^{\prime } = y \left (-1+y\right ) \left (y-3\right ) \]
i.c.

[_quadrature]

14600

\[ {}y^{\prime } = y \left (-1+y\right ) \left (y-3\right ) \]
i.c.

[_quadrature]

14601

\[ {}y^{\prime } = y \left (-1+y\right ) \left (y-3\right ) \]
i.c.

[_quadrature]

14602

\[ {}y^{\prime } = y \left (-1+y\right ) \left (y-3\right ) \]
i.c.

[_quadrature]

14603

\[ {}y^{\prime } = -y^{2} \]

[_quadrature]

14604

\[ {}y^{\prime } = y^{3} \]
i.c.

[_quadrature]

14606

\[ {}y^{\prime } = \frac {1}{\left (2+y\right )^{2}} \]
i.c.

[_quadrature]

14608

\[ {}y^{\prime } = 3 y \left (-2+y\right ) \]
i.c.

[_quadrature]

14609

\[ {}y^{\prime } = 3 y \left (-2+y\right ) \]
i.c.

[_quadrature]

14610

\[ {}y^{\prime } = 3 y \left (-2+y\right ) \]
i.c.

[_quadrature]

14611

\[ {}y^{\prime } = 3 y \left (-2+y\right ) \]
i.c.

[_quadrature]

14612

\[ {}y^{\prime } = y^{2}-4 y-12 \]
i.c.

[_quadrature]

14613

\[ {}y^{\prime } = y^{2}-4 y-12 \]
i.c.

[_quadrature]

14614

\[ {}y^{\prime } = y^{2}-4 y-12 \]
i.c.

[_quadrature]

14615

\[ {}y^{\prime } = y^{2}-4 y-12 \]
i.c.

[_quadrature]

14616

\[ {}y^{\prime } = \cos \left (y\right ) \]
i.c.

[_quadrature]

14617

\[ {}y^{\prime } = \cos \left (y\right ) \]
i.c.

[_quadrature]

14618

\[ {}y^{\prime } = \cos \left (y\right ) \]
i.c.

[_quadrature]

14619

\[ {}y^{\prime } = \cos \left (y\right ) \]
i.c.

[_quadrature]

14620

\[ {}w^{\prime } = w \cos \left (w\right ) \]

[_quadrature]

14621

\[ {}w^{\prime } = w \cos \left (w\right ) \]
i.c.

[_quadrature]

14622

\[ {}w^{\prime } = w \cos \left (w\right ) \]
i.c.

[_quadrature]

14623

\[ {}w^{\prime } = w \cos \left (w\right ) \]
i.c.

[_quadrature]

14624

\[ {}w^{\prime } = w \cos \left (w\right ) \]
i.c.

[_quadrature]

14625

\[ {}w^{\prime } = \left (1-w\right ) \sin \left (w\right ) \]

[_quadrature]

14626

\[ {}y^{\prime } = \frac {1}{-2+y} \]

[_quadrature]

14627

\[ {}v^{\prime } = -v^{2}-2 v-2 \]

[_quadrature]

14628

\[ {}w^{\prime } = 3 w^{3}-12 w^{2} \]

[_quadrature]

14629

\[ {}y^{\prime } = 1+\cos \left (y\right ) \]

[_quadrature]

14630

\[ {}y^{\prime } = \tan \left (y\right ) \]

[_quadrature]

14631

\[ {}y^{\prime } = y \ln \left ({| y|}\right ) \]

[_quadrature]

14632

\[ {}w^{\prime } = \left (w^{2}-2\right ) \arctan \left (w\right ) \]

[_quadrature]

14633

\[ {}y^{\prime } = y^{2}-4 y+2 \]
i.c.

[_quadrature]

14634

\[ {}y^{\prime } = y^{2}-4 y+2 \]
i.c.

[_quadrature]

14635

\[ {}y^{\prime } = y^{2}-4 y+2 \]
i.c.

[_quadrature]

14636

\[ {}y^{\prime } = y^{2}-4 y+2 \]
i.c.

[_quadrature]

14637

\[ {}y^{\prime } = y^{2}-4 y+2 \]
i.c.

[_quadrature]

14638

\[ {}y^{\prime } = y^{2}-4 y+2 \]
i.c.

[_quadrature]

14639

\[ {}y^{\prime } = y \cos \left (\frac {\pi y}{2}\right ) \]

[_quadrature]

14640

\[ {}y^{\prime } = y-y^{2} \]

[_quadrature]

14641

\[ {}y^{\prime } = y \sin \left (\frac {\pi y}{2}\right ) \]

[_quadrature]

14642

\[ {}y^{\prime } = y^{3}-y^{2} \]

[_quadrature]

14643

\[ {}y^{\prime } = \cos \left (\frac {\pi y}{2}\right ) \]

[_quadrature]

14644

\[ {}y^{\prime } = y^{2}-y \]

[_quadrature]

14645

\[ {}y^{\prime } = y \sin \left (\frac {\pi y}{2}\right ) \]

[_quadrature]

14646

\[ {}y^{\prime } = y^{2}-y^{3} \]

[_quadrature]

14686

\[ {}y^{\prime } = 3 y \]

[_quadrature]

14688

\[ {}y^{\prime } = -\sin \left (y\right )^{5} \]

[_quadrature]

14690

\[ {}y^{\prime } = \sin \left (y\right )^{2} \]

[_quadrature]

14693

\[ {}y^{\prime } = 3-2 y \]

[_quadrature]

14699

\[ {}y^{\prime } = 3+y^{2} \]

[_quadrature]

14700

\[ {}y^{\prime } = 2 y-y^{2} \]

[_quadrature]

14710

\[ {}y^{\prime } = 1-y^{2} \]
i.c.

[_quadrature]

14712

\[ {}y^{\prime } = y^{2}-2 y+1 \]
i.c.

[_quadrature]

14717

\[ {}y^{\prime } = 3-y^{2} \]
i.c.

[_quadrature]

14901

\[ {}y^{\prime } = 3-\sin \left (y\right ) \]

[_quadrature]

14947

\[ {}y^{\prime }-y^{3} = 8 \]

[_quadrature]

14950

\[ {}y^{3}-25 y+y^{\prime } = 0 \]

[_quadrature]

14953

\[ {}y^{\prime }+2 y-y^{2} = -2 \]

[_quadrature]

14955

\[ {}y^{\prime } = 2 \sqrt {y} \]
i.c.

[_quadrature]

14960

\[ {}y^{\prime }+4 y = 8 \]

[_quadrature]

14967

\[ {}y^{\prime } = y^{2}+9 \]

[_quadrature]

14977

\[ {}y^{\prime }-4 y = 2 \]

[_quadrature]

14979

\[ {}y^{\prime } = \sin \left (y\right ) \]

[_quadrature]

14981

\[ {}y^{\prime } = 200 y-2 y^{2} \]

[_quadrature]

14985

\[ {}y^{\prime } = \tan \left (y\right ) \]

[_quadrature]

14990

\[ {}y^{\prime } = {\mathrm e}^{-y} \]

[_quadrature]

14991

\[ {}y^{\prime } = {\mathrm e}^{-y}+1 \]

[_quadrature]

14996

\[ {}y^{\prime } = 200 y-2 y^{2} \]

[_quadrature]

14997

\[ {}y^{\prime }-2 y = -10 \]
i.c.

[_quadrature]

15009

\[ {}y^{\prime } = 4 y+8 \]

[_quadrature]

15012

\[ {}y^{\prime }+4 y = y^{3} \]

[_quadrature]

15014

\[ {}y^{\prime }+2 y = 6 \]

[_quadrature]

15024

\[ {}y^{\prime }-3 y = 6 \]
i.c.

[_quadrature]

15025

\[ {}y^{\prime }-3 y = 6 \]
i.c.

[_quadrature]

15041

\[ {}y^{\prime }+3 y = 3 y^{3} \]

[_quadrature]

15094

\[ {}\left (y^{2}-4\right ) y^{\prime } = y \]

[_quadrature]

15108

\[ {}y^{2}+1-y^{\prime } = 0 \]

[_quadrature]

15711

\[ {}y^{\prime }+2 y = 0 \]

[_quadrature]

15741

\[ {}y^{\prime }+2 y = 0 \]
i.c.

[_quadrature]

15785

\[ {}y^{\prime } = y^{{1}/{5}} \]
i.c.

[_quadrature]

15789

\[ {}y^{\prime } = 6 y^{{2}/{3}} \]
i.c.

[_quadrature]

15793

\[ {}y^{\prime } = \sqrt {-1+y^{2}} \]
i.c.

[_quadrature]

15794

\[ {}y^{\prime } = \sqrt {-1+y^{2}} \]
i.c.

[_quadrature]

15796

\[ {}y^{\prime } = \sqrt {-1+y^{2}} \]
i.c.

[_quadrature]

15797

\[ {}y^{\prime } = \sqrt {25-y^{2}} \]
i.c.

[_quadrature]

15798

\[ {}y^{\prime } = \sqrt {25-y^{2}} \]
i.c.

[_quadrature]

15799

\[ {}y^{\prime } = \sqrt {25-y^{2}} \]
i.c.

[_quadrature]

15800

\[ {}y^{\prime } = \sqrt {25-y^{2}} \]
i.c.

[_quadrature]

15811

\[ {}y^{\prime } = y^{2} \]
i.c.

[_quadrature]

15814

\[ {}y^{\prime } = -y^{3} \]
i.c.

[_quadrature]

15818

\[ {}y^{\prime } = \frac {1+y^{2}}{y} \]

[_quadrature]

15827

\[ {}y^{\prime }+k y = 0 \]

[_quadrature]

15846

\[ {}y^{\prime } = y^{2}-3 y+2 \]

[_quadrature]

15849

\[ {}y^{\prime } = y^{3}+1 \]

[_quadrature]

15850

\[ {}y^{\prime } = y^{3}-1 \]

[_quadrature]

15851

\[ {}y^{\prime } = y^{3}+y \]

[_quadrature]

15852

\[ {}y^{\prime } = y^{3}-y^{2} \]

[_quadrature]

15853

\[ {}y^{\prime } = y^{3}-y \]

[_quadrature]

15854

\[ {}y^{\prime } = y^{3}+y \]

[_quadrature]

15857

\[ {}1 = \cos \left (y\right ) y^{\prime } \]
i.c.

[_quadrature]

15863

\[ {}y^{\prime } = \frac {y}{\ln \left (y\right )} \]
i.c.

[_quadrature]

15879

\[ {}y^{\prime } = \left (3 y+1\right )^{4} \]

[_quadrature]

15880

\[ {}y^{\prime } = 3 y \]

[_quadrature]

15881

\[ {}y^{\prime } = -y \]

[_quadrature]

15882

\[ {}y^{\prime } = y^{2}-y \]

[_quadrature]

15883

\[ {}y^{\prime } = 16 y-8 y^{2} \]

[_quadrature]

15884

\[ {}y^{\prime } = 12+4 y-y^{2} \]

[_quadrature]

15886

\[ {}y^{\prime }-y = 10 \]

[_quadrature]

15955

\[ {}-1+3 y^{2} y^{\prime } = 0 \]

[_quadrature]

16077

\[ {}y^{\prime }+y = 5 \]

[_quadrature]

16587

\[ {}y^{\prime } = y+3 y^{{1}/{3}} \]

[_quadrature]

16590

\[ {}y^{\prime } = \sqrt {1-y^{2}} \]

[_quadrature]

16593

\[ {}y^{\prime } = 1-\cot \left (y\right ) \]

[_quadrature]

16603

\[ {}y^{\prime } = \left (y-1\right )^{2} \]

[_quadrature]

16617

\[ {}y^{\prime } = y \]

[_quadrature]

16618

\[ {}y^{\prime } = y^{2} \]

[_quadrature]

16630

\[ {}{\mathrm e}^{-y} y^{\prime } = 1 \]

[_quadrature]

16654

\[ {}{\mathrm e}^{y} = {\mathrm e}^{4 y} y^{\prime }+1 \]

[_quadrature]

16748

\[ {}y^{\prime } = {\mathrm e}^{\frac {y^{\prime }}{y}} \]

[_quadrature]

16751

\[ {}y = y^{\prime } \ln \left (y^{\prime }\right ) \]

[_quadrature]

16752

\[ {}y = \left (y^{\prime }-1\right ) {\mathrm e}^{y^{\prime }} \]

[_quadrature]

16755

\[ {}y^{{2}/{5}}+{y^{\prime }}^{{2}/{5}} = a^{{2}/{5}} \]

[_quadrature]

16757

\[ {}y = y^{\prime } \left (1+y^{\prime } \cos \left (y^{\prime }\right )\right ) \]

[_quadrature]

16758

\[ {}y = \arcsin \left (y^{\prime }\right )+\ln \left (1+{y^{\prime }}^{2}\right ) \]

[_quadrature]

16777

\[ {}y^{\prime } = y^{{2}/{3}}+a \]

[_quadrature]

16784

\[ {}y^{2} {y^{\prime }}^{2}+y^{2} = 1 \]

[_quadrature]

17257

\[ {}y^{\prime } = \frac {b +a y}{d +c y} \]

[_quadrature]

17305

\[ {}y^{\prime } = y^{{1}/{3}} \]
i.c.

[_quadrature]

17309

\[ {}y^{3}+y^{\prime } = 0 \]
i.c.

[_quadrature]

17360

\[ {}y^{\prime } = y+\sqrt {y} \]

[_quadrature]

17361

\[ {}y^{\prime } = r y-k^{2} y^{2} \]

[_quadrature]

17362

\[ {}y^{\prime } = a y+b y^{3} \]

[_quadrature]

17376

\[ {}y^{\prime }+y-y^{{1}/{4}} = 0 \]

[_quadrature]

17464

\[ {}x^{\prime } = \frac {x \sqrt {6 x-9}}{3} \]
i.c.

[_quadrature]

17859

\[ {}{y^{\prime }}^{3}-\left (y^{2}+x y+x^{2}\right ) {y^{\prime }}^{2}+\left (x y^{3}+y^{2} x^{2}+x^{3} y\right ) y^{\prime }-x^{3} y^{3} = 0 \]

[_quadrature]

17866

\[ {}y \left (1+{y^{\prime }}^{2}\right ) = 2 \alpha \]

[_quadrature]

17878

\[ {}y^{\prime } = \sqrt {y} \]

[_quadrature]

17879

\[ {}y^{\prime } = y \ln \left (y\right ) \]

[_quadrature]

17880

\[ {}y^{\prime } = y \ln \left (y\right )^{2} \]

[_quadrature]

17980

\[ {}y^{\prime } = k y \]

[_quadrature]

17990

\[ {}1+y^{2}+y^{2} y^{\prime } = 0 \]

[_quadrature]

18024

\[ {}v^{\prime } = g -\frac {k v^{2}}{m} \]

[_quadrature]

18415

\[ {}x^{\prime } = x^{2}-3 x+2 \]
i.c.

[_quadrature]

18416

\[ {}x^{\prime } = b \,{\mathrm e}^{x} \]
i.c.

[_quadrature]

18417

\[ {}x^{\prime } = \left (x-1\right )^{2} \]
i.c.

[_quadrature]

18418

\[ {}x^{\prime } = \sqrt {x^{2}-1} \]
i.c.

[_quadrature]

18419

\[ {}x^{\prime } = 2 \sqrt {x} \]
i.c.

[_quadrature]

18420

\[ {}x^{\prime } = \tan \left (x\right ) \]
i.c.

[_quadrature]

18435

\[ {}x^{\prime } = -\lambda x \]

[_quadrature]

18453

\[ {}y^{\prime }+c y = a \]

[_quadrature]

18464

\[ {}x^{\prime } = k \left (A -n x\right ) \left (M -m x\right ) \]

[_quadrature]

18729

\[ {}y = -a y^{\prime }+\frac {c +a \arcsin \left (y^{\prime }\right )}{\sqrt {1-{y^{\prime }}^{2}}} \]

[_quadrature]

18755

\[ {}y^{2} \left (1-{y^{\prime }}^{2}\right ) = b \]

[_quadrature]

18762

\[ {}{y^{\prime }}^{3}-\left (y^{2}+x y+x^{2}\right ) {y^{\prime }}^{2}+\left (x y^{3}+y^{2} x^{2}+x^{3} y\right ) y^{\prime }-x^{3} y^{3} = 0 \]

[_quadrature]

18774

\[ {}y^{2} \left (1+{y^{\prime }}^{2}\right ) = r^{2} \]

[_quadrature]

19140

\[ {}x +y {y^{\prime }}^{2} = \left (1+x y\right ) y^{\prime } \]

[_quadrature]

19144

\[ {}{y^{\prime }}^{3}-y^{\prime } \left (y^{2}+x y+x^{2}\right )+x y \left (x +y\right ) = 0 \]

[_quadrature]

19149

\[ {}{y^{\prime }}^{2} \left (2-3 y\right )^{2} = 4-4 y \]

[_quadrature]

19153

\[ {}3 {y^{\prime }}^{5}-y y^{\prime }+1 = 0 \]

[_quadrature]

19157

\[ {}y = \sin \left (y^{\prime }\right )-y^{\prime } \cos \left (y^{\prime }\right ) \]

[_quadrature]

19212

\[ {}{y^{\prime }}^{2} \left (2-3 y\right )^{2} = 4-4 y \]

[_quadrature]

19221

\[ {}\left (1-y^{2}\right ) {y^{\prime }}^{2} = 1 \]

[_quadrature]

19465

\[ {}{y^{\prime }}^{3}-\left (y^{2}+x y+x^{2}\right ) {y^{\prime }}^{2}+\left (x y^{3}+y^{2} x^{2}+x^{3} y\right ) y^{\prime }-x^{3} y^{3} = 0 \]

[_quadrature]

19488

\[ {}y^{2} \left (1+{y^{\prime }}^{2}\right ) = r^{2} \]

[_quadrature]