2.21.1.7 First order Separable ODE’s

Number of problems in this table is 1172

Column notations: A is ODE degree. B is Program Number of solutions generated. C is CAS Number of solutions generated.

Table 2.528: separable

#

ODE

A

B

C

CAS classification

Solved?

Verified?

time (sec)

19

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

i.c.

1

1

1

[_separable]

1.164

20

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

1

1

1

[_separable]

0.699

23

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

i.c.

1

1

1

[_separable]

4.47

24

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

i.c.

1

1

2

[_separable]

2.789

27

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

1

1

1

[_separable]

0.871

28

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

1

1

1

[_separable]

0.578

29

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

1

1

1

[_separable]

0.98

30

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

1

1

1

[_separable]

1.167

31

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

1

1

1

[_separable]

1.404

34

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

1

1

1

[_separable]

0.791

35

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

1

1

1

[_separable]

1.298

36

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

1

1

1

[_separable]

0.967

37

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

1

1

2

[_separable]

0.805

38

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

1

1

2

[_separable]

1.931

39

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

1

1

1

[_separable]

170.809

40

\[ {}y^{\prime } = \frac {\left (-1+x \right ) y^{5}}{x^{2} \left (-y+2 y^{3}\right )} \]

1

1

3

[_separable]

18.824

41

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

1

1

1

[_separable]

1.432

42

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

1

1

1

[_separable]

0.866

43

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

1

1

1

[_separable]

1.188

44

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

i.c.

1

1

1

[_separable]

1.815

45

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

i.c.

1

1

1

[_separable]

2.2

46

\[ {}2 y y^{\prime } = \frac {x}{\sqrt {x^{2}-16}} \]

i.c.

1

1

1

[_separable]

5.32

47

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

i.c.

1

1

1

[_separable]

2.009

49

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

i.c.

1

1

1

[_separable]

2.139

50

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

i.c.

1

1

1

[_separable]

1.973

51

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

i.c.

1

1

1

[_separable]

1.709

52

\[ {}y^{\prime } = 6 \,{\mathrm e}^{2 x -y} \]

i.c.

1

1

1

[_separable]

1.887

53

\[ {}2 \sqrt {x}\, y^{\prime } = \cos \left (y\right )^{2} \]

i.c.

1

1

1

[_separable]

2.51

64

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

i.c.

1

0

1

[_separable]

1.724

68

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

i.c.

1

1

1

[_separable]

2.03

69

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

i.c.

1

1

1

[_separable]

2.056

73

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

i.c.

1

1

1

[_separable]

1.757

77

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

i.c.

1

1

1

[_separable]

2.406

98

\[ {}2 x y^{3}+y^{2} y^{\prime } = 6 x \]

1

1

3

[_separable]

2.352

120

\[ {}\frac {2 x^{\frac {5}{2}}-3 y^{\frac {5}{3}}}{2 x^{\frac {5}{2}} y^{\frac {2}{3}}}+\frac {\left (-2 x^{\frac {5}{2}}+3 y^{\frac {5}{3}}\right ) y^{\prime }}{3 x^{\frac {3}{2}} y^{\frac {5}{3}}} = 0 \]

1

1

6

[[_1st_order, _with_linear_symmetries], _exact, _rational]

1.786

122

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

1

1

1

[_separable]

1.472

125

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

1

1

1

[_separable]

1.549

126

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

1

1

1

[_separable]

0.87

130

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

1

1

1

[_separable]

0.974

139

\[ {}3 x^{5} y^{2}+x^{3} y^{\prime } = 2 y^{2} \]

1

1

1

[_separable]

0.846

144

\[ {}9 x^{2} y^{2}+x^{\frac {3}{2}} y^{\prime } = y^{2} \]

1

1

1

[_separable]

1.177

150

\[ {}y^{\prime } = 3 x^{2} \left (7+y\right ) \]

1

1

1

[_separable]

0.994

151

\[ {}y^{\prime } = 3 x^{2} \left (7+y\right ) \]

1

1

1

[_separable]

0.671

152

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

1

1

2

[_separable]

2.451

155

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

1

1

1

[_separable]

1.07

156

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

1

1

1

[_separable]

7.763

479

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

1

1

2

[_separable]

1.209

480

\[ {}y^{\prime } = \frac {x^{2}}{\left (x^{3}+1\right ) y} \]

1

1

2

[_separable]

1.006

481

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

1

1

1

[_separable]

0.796

482

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

1

1

2

[_separable]

1.528

483

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

1

1

1

[_separable]

1.35

484

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

1

1

1

[_separable]

1.28

486

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

1

1

3

[_separable]

154.618

487

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

i.c.

1

1

1

[_separable]

1.166

488

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

i.c.

1

1

1

[_separable]

6.71

489

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

i.c.

1

1

1

[_separable]

1.847

490

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

i.c.

1

1

1

[_separable]

1.269

491

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

i.c.

1

1

1

[_separable]

1.673

492

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

i.c.

1

1

1

[_separable]

1.391

493

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

i.c.

1

1

1

[_separable]

6.693

494

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

i.c.

1

1

1

[_separable]

3.85

495

\[ {}y^{\prime } = \frac {-{\mathrm e}^{x}+3 x^{2}}{-5+2 y} \]

i.c.

1

1

1

[_separable]

1.863

496

\[ {}y^{\prime } = \frac {{\mathrm e}^{-x}-{\mathrm e}^{x}}{3+4 y} \]

i.c.

1

1

1

[_separable]

2.872

497

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

i.c.

1

1

1

[_separable]

10.198

498

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

i.c.

1

1

1

[_separable]

3.728

499

\[ {}y^{\prime } = \frac {3 x^{2}+1}{-6 y+3 y^{2}} \]

i.c.

1

1

1

[_separable]

3.06

500

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

i.c.

1

1

1

[_separable]

78.154

501

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

i.c.

1

1

1

[_separable]

1.219

502

\[ {}y^{\prime } = \frac {2-{\mathrm e}^{x}}{3+2 y} \]

i.c.

1

1

1

[_separable]

1.759

503

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

i.c.

1

1

1

[_separable]

2.18

504

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

i.c.

1

1

1

[_separable]

1.824

505

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

1

1

1

[_separable]

1.697

506

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

1

1

1

[_separable]

1.964

517

\[ {}y+\left (t -4\right ) t y^{\prime } = 0 \]

i.c.

1

1

1

[_separable]

1.551

522

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

1

1

3

[_separable]

168.757

523

\[ {}y^{\prime } = \frac {\cot \left (t \right ) y}{y+1} \]

1

1

1

[_separable]

1.37

524

\[ {}y^{\prime } = -\frac {4 t}{y} \]

1

1

2

[_separable]

1.775

525

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

1

1

1

[_separable]

0.711

527

\[ {}y^{\prime } = \frac {t^{2}}{\left (t^{3}+1\right ) y} \]

1

1

2

[_separable]

1.052

528

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

1

1

1

[_separable]

1.431

543

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

1

1

2

[_separable]

2.759

546

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

1

1

3

[_separable]

1.071

554

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

1

1

2

[_separable]

2.527

557

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

1

1

1

[_separable]

1.512

559

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

1

1

1

[_separable]

1.997

569

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

1

1

1

[_separable]

3.089

571

\[ {}y^{\prime } = 3-6 x +y-2 x y \]

1

1

1

[_separable]

1.21

574

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

1

1

3

[_separable]

89.541

577

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

1

1

1

[_separable]

1.885

580

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

1

1

1

[_separable]

1.109

582

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

1

1

1

[_separable]

1.78

587

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

1

1

1

[_separable]

0.915

589

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

i.c.

1

1

1

[_separable]

67.306

591

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

1

1

1

[_separable]

3.416

871

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

1

1

1

[_separable]

1.45

872

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

1

1

1

[_separable]

1.173

873

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

1

1

1

[_separable]

0.995

882

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

i.c.

1

1

1

[_separable]

1.637

883

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

i.c.

1

1

1

[_separable]

2.308

888

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

1

1

1

[_separable]

1.029

889

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

1

1

1

[_separable]

1.622

890

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

1

1

1

[_separable]

1.262

891

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

1

1

1

[_separable]

1.134

892

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

i.c.

1

1

1

[_separable]

1.648

893

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

i.c.

1

1

1

[_separable]

2.164

894

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

i.c.

1

1

1

[_separable]

2.635

895

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

i.c.

1

1

1

[_separable]

1.544

896

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

i.c.

1

1

1

[_separable]

1.545

897

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

i.c.

1

1

1

[_separable]

2.376

919

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

i.c.

1

1

1

[_separable]

1.916

923

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

i.c.

1

1

1

[_separable]

2.029

928

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

1

1

2

[_separable]

1.806

929

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

1

1

1

[_separable]

3.586

930

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

1

1

1

[_separable]

1.447

931

\[ {}\left (3 y^{3}+3 y \cos \left (y\right )+1\right ) y^{\prime }+\frac {\left (2 x +1\right ) y}{x^{2}+1} = 0 \]

1

1

1

[_separable]

8.067

932

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

1

1

1

[_separable]

1.878

933

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

1

1

1

[_separable]

0.918

934

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

1

1

1

[_separable]

1.148

935

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

1

1

1

[_separable]

1.982

936

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

1

1

3

[_separable]

21.325

937

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

i.c.

1

1

1

[_separable]

3.9

938

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

i.c.

1

1

1

[_separable]

2.972

939

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

i.c.

1

1

1

[_separable]

5.135

940

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

i.c.

1

1

3

[_separable]

37.897

941

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

i.c.

1

1

1

[_separable]

1.951

942

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

i.c.

1

1

1

[_separable]

10.752

943

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

1

1

1

[_separable]

1.424

944

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

i.c.

1

1

1

[_separable]

3.414

945

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

i.c.

1

1

1

[_separable]

4.329

947

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

i.c.

1

1

1

[_separable]

4.77

948

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

1

1

1

[_separable]

3.463

949

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

i.c.

1

0

1

[_separable]

2.488

950

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

1

1

1

[_separable]

1.064

951

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

1

1

1

[_separable]

1.605

952

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

i.c.

1

1

1

[_separable]

2.337

963

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

1

1

1

[_separable]

1.059

967

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

1

1

1

[_separable]

2.925

970

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

1

1

1

[_separable]

2.345

972

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

i.c.

1

1

1

[_separable]

2.097

973

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

i.c.

1

1

1

[_separable]

2.101

974

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

i.c.

1

1

1

[_separable]

3.917

986

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

i.c.

1

1

1

[_separable]

6.904

1030

\[ {}6 x^{2} y^{2}+4 x^{3} y y^{\prime } = 0 \]

1

1

3

[_separable]

1.474

1040

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

1

1

1

[_separable]

2.542

1042

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

1

1

2

[_separable]

3.012

1049

\[ {}\left (y^{3}-1\right ) {\mathrm e}^{x}+3 y^{2} \left (1+{\mathrm e}^{x}\right ) y^{\prime } = 0 \]

i.c.

1

1

3

[_separable]

5.071

1051

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

i.c.

1

1

1

[_separable]

2.746

1062

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

1

1

1

[_separable]

1.15

1063

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

1

1

1

[_separable]

1.003

1064

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

1

1

1

[_separable]

1.039

1072

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

1

1

1

[_separable]

1.771

1073

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

1

1

1

[_separable]

1.483

1076

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

1

1

1

[_separable]

4.327

1077

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

1

1

1

[_separable]

2.798

1079

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

1

1

1

[_separable]

2.284

1081

\[ {}x^{4} y^{4}+x^{5} y^{3} y^{\prime } = 0 \]

1

1

2

[_separable]

1.446

1082

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

1

1

1

[_separable]

3.591

1649

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

1

1

1

[_separable]

1.659

1650

\[ {}\sqrt {t}\, \sin \left (t \right ) y+y^{\prime } = 0 \]

1

1

1

[_separable]

2.694

1654

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

1

1

1

[_separable]

1.554

1656

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

i.c.

1

1

1

[_separable]

2.88

1657

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

1

1

1

[_separable]

1.794

1658

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

i.c.

1

1

1

[_separable]

2.138

1663

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

i.c.

1

1

1

[_separable]

2.663

1668

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

1

1

1

[_separable]

1.366

1669

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

1

1

1

[_separable]

1.266

1670

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

1

1

1

[_separable]

1.581

1671

\[ {}y^{\prime } = {\mathrm e}^{3+t +y} \]

1

1

1

[_separable]

1.211

1672

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

1

1

1

[_separable]

35.884

1673

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

i.c.

1

1

1

[_separable]

4.361

1674

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

i.c.

1

1

1

[_separable]

2.757

1675

\[ {}\sqrt {t^{2}+1}\, y^{\prime } = \frac {t y^{3}}{\sqrt {t^{2}+1}} \]

i.c.

1

1

1

[_separable]

2.577

1676

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

i.c.

1

1

1

[_separable]

5.778

1677

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

i.c.

1

1

2

[_separable]

5.118

1679

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

i.c.

1

0

1

[_separable]

3.656

1692

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

i.c.

1

1

1

[_separable]

2.492

1710

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

1

1

1

[_separable]

1.227

1711

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

1

1

1

[_separable]

1.516

1870

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

1

1

1

[_separable]

1.477

1871

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

1

1

2

[_separable]

6.561

1872

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

1

1

1

[_separable]

1.349

1873

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

1

1

1

[_separable]

1.438

1874

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

1

1

1

[_separable]

1.27

1875

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

1

1

2

[_separable]

4.193

1876

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

1

1

1

[_separable]

3.84

1877

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

1

1

1

[_separable]

2.157

1878

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

1

1

1

[_separable]

1.954

1879

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

1

1

1

[_separable]

2.181

1880

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

1

1

2

[_separable]

2.742

1882

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

1

1

1

[_separable]

3.193

1883

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

1

1

1

[_separable]

3.836

1884

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

1

1

1

[_separable]

11.779

1885

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

1

1

1

[_separable]

1.763

1886

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

1

1

1

[_separable]

1.79

1887

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

1

1

1

[_separable]

1.965

1888

\[ {}\tan \left (x \right ) \sin \left (x \right )^{2}+\cos \left (x \right )^{2} \cot \left (y\right ) y^{\prime } = 0 \]

1

1

1

[_separable]

21.288

1889

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

1

1

2

[_separable]

3.517

1890

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

i.c.

1

1

1

[_separable]

1.68

1891

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

i.c.

1

1

1

[_separable]

2.239

1892

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

i.c.

1

1

2

[_separable]

5.179

1893

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

i.c.

1

1

1

[_separable]

1.876

1896

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

i.c.

1

1

1

[_separable]

3.212

1898

\[ {}\left (x^{2}+x +1\right ) y^{\prime } = y^{2}+2 y+5 \]

i.c.

1

0

1

[_separable]

22.352

1899

\[ {}\left (x^{2}-2 x -8\right ) y^{\prime } = y^{2}+y-2 \]

i.c.

1

1

1

[_separable]

8.253

1954

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

1

1

4

[_separable]

1.707

1968

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

1

1

1

[_separable]

2.566

1982

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

i.c.

1

1

1

[_separable]

2.358

2020

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

1

1

2

[_separable]

2.956

2022

\[ {}r^{\prime }+\left (r-\frac {1}{r}\right ) \theta = 0 \]

1

1

2

[_separable]

4.374

2025

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

1

1

1

[_separable]

40.737

2033

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

1

1

1

[_separable]

2.467

2040

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

1

1

1

[_separable]

4.969

2044

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

1

1

1

[_separable]

4.532

2045

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

1

1

1

[_separable]

3.477

2049

\[ {}r^{\prime } = r \cot \left (\theta \right ) \]

1

1

1

[_separable]

2.394

2053

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

1

1

1

[_separable]

5.968

2057

\[ {}3 x -6 = x y y^{\prime } \]

1

1

2

[_separable]

1.77

2060

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

1

1

2

[_separable]

5.533

2062

\[ {}3 \,{\mathrm e}^{x} \tan \left (y\right ) = \left (-{\mathrm e}^{x}+1\right ) \sec \left (y\right )^{2} y^{\prime } \]

1

1

1

[_separable]

7.693

2069

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

i.c.

1

1

1

[_separable]

6.065

2071

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

i.c.

1

1

2

[_separable]

2.505

2081

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

i.c.

1

1

1

[_separable]

2.096

2086

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

i.c.

1

1

1

[_separable]

12.092

2314

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

2

1

2

[_separable]

3.048

2320

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

2

2

4

[_separable]

1.722

2322

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

3

1

3

[_quadrature]

1.778

2325

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

0

2

2

[_separable]

3.73

2363

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

2

1

2

[_separable]

0.351

2438

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

1

1

1

[_separable]

0.436

2439

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

1

1

1

[_separable]

0.388

2440

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

1

1

1

[_separable]

0.436

2441

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

1

1

1

[_separable]

0.825

2442

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

1

1

1

[_separable]

0.892

2456

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

i.c.

1

1

1

[_separable]

1.207

2460

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

1

1

1

[_separable]

0.388

2461

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

1

1

2

[_separable]

0.953

2467

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

1

1

1

[_separable]

0.48

2480

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

i.c.

1

1

1

[_separable]

0.977

2486

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

1

1

2

[_separable]

0.509

2487

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

1

1

1

[_separable]

1.223

2488

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

1

1

1

[_separable]

0.536

2499

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

1

1

1

[_separable]

1.569

2502

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

1

1

1

[_separable]

0.487

2544

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

1

1

1

[_separable]

0.505

2545

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

1

1

1

[_separable]

0.513

2546

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

1

1

1

[_separable]

0.407

2547

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

1

1

1

[_separable]

0.674

2548

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

1

1

1

[_separable]

0.615

2549

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

1

1

1

[_separable]

0.744

2550

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

1

1

1

[_separable]

0.659

2551

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

1

1

1

[_separable]

36.244

2552

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

1

1

1

[_separable]

1.073

2554

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

1

1

1

[_separable]

1.233

2555

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

i.c.

1

1

1

[_separable]

1.069

2556

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

i.c.

1

1

1

[_separable]

2.399

2557

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

i.c.

1

1

1

[_separable]

36.764

2558

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

1

1

2

[_separable]

0.524

2591

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

1

1

1

[_separable]

0.488

2622

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

1

1

1

[_separable]

0.128

2623

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

1

1

1

[_separable]

0.11

2624

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

1

1

1

[_separable]

0.105

2625

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

1

1

1

[_separable]

0.1

2626

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

1

1

1

[_separable]

0.119

2627

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

1

1

1

[_separable]

0.259

2628

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

1

1

1

[_separable]

0.19

2629

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

1

1

1

[_separable]

1.547

2630

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

1

1

1

[_separable]

0.187

2631

\[ {}y^{\prime } = \frac {x^{2} y-32}{-x^{2}+16}+2 \]

1

1

1

[_separable]

0.254

2632

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

1

1

1

[_separable]

0.269

2633

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

i.c.

1

1

1

[_separable]

0.321

2634

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

i.c.

1

1

1

[_separable]

2.208

2635

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

i.c.

1

1

1

[_separable]

1.422

2636

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

i.c.

1

1

1

[_separable]

0.288

2637

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

i.c.

1

1

1

[_quadrature]

0.395

2638

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

i.c.

1

1

1

[_quadrature]

1.526

2698

\[ {}\left (1-\sqrt {3}\right ) y^{\prime }+y \sec \left (x \right ) = y^{\sqrt {3}} \sec \left (x \right ) \]

1

1

1

[_separable]

187.417

2712

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

1

1

1

[_separable]

32.49

3005

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

1

1

2

[_separable]

0.938

3006

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

1

1

1

[_separable]

0.772

3007

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

1

1

1

[_separable]

0.686

3013

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

i.c.

1

1

1

[_separable]

1.099

3016

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

i.c.

1

1

1

[_separable]

1.299

3021

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

i.c.

1

1

1

[_separable]

4.279

3022

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

i.c.

1

1

1

[_separable]

2.736

3029

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

1

1

2

[_separable]

1.506

3052

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

1

1

3

[_separable]

9.704

3053

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

1

1

1

[_separable]

0.573

3054

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

1

1

1

[_separable]

0.816

3055

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

1

1

1

[_separable]

0.619

3056

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

1

1

1

[_separable]

0.799

3058

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

1

1

1

[_separable]

0.723

3059

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

1

1

1

[_separable]

1.188

3060

\[ {}y^{\prime } = \frac {4 x y}{x^{2}+1} \]

1

1

1

[_separable]

0.889

3061

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

1

1

1

[_separable]

0.866

3062

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

i.c.

1

1

1

[_separable]

1.083

3063

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

i.c.

1

1

1

[_separable]

1.104

3064

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

i.c.

1

1

1

[_separable]

1.666

3065

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

i.c.

1

1

1

[_separable]

1.018

3066

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

i.c.

1

1

1

[_separable]

1.415

3067

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

i.c.

1

1

1

[_separable]

1.151

3069

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

i.c.

1

1

1

[_separable]

3.685

3070

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

i.c.

1

1

1

[_separable]

3.056

3071

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

i.c.

1

1

1

[_separable]

1.274

3072

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

1

1

1

[_separable]

0.834

3073

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

1

1

1

[_separable]

0.848

3074

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

1

1

1

[_separable]

0.822

3075

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

1

1

1

[_separable]

1.122

3076

\[ {}y \,{\mathrm e}^{2 x} y^{\prime }+2 x = 0 \]

i.c.

1

1

1

[_separable]

1.919

3077

\[ {}x y y^{\prime } = \sqrt {y^{2}-9} \]

i.c.

1

1

1

[_separable]

1.906

3093

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

1

1

2

[_separable]

1.069

3094

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

1

1

3

[_separable]

38.22

3096

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

1

1

1

[_separable]

0.973

3097

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

1

1

1

[_separable]

0.994

3104

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

1

1

1

[_separable]

1.707

3134

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

1

1

1

[_separable]

0.918

3140

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

1

2

2

[_separable]

0.589

3141

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

1

1

1

[_separable]

0.505

3142

\[ {}r y^{\prime } = \frac {\left (a^{2}-r^{2}\right ) \tan \left (y\right )}{a^{2}+r^{2}} \]

1

1

1

[_separable]

0.743

3143

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

1

1

1

[_separable]

0.44

3144

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

i.c.

1

1

1

[_separable]

1.624

3145

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

i.c.

1

3

3

[_quadrature]

1.841

3146

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

1

1

1

[_separable]

0.764

3147

\[ {}y^{\prime } = \frac {x^{3} {\mathrm e}^{x^{2}}}{y \ln \left (y\right )} \]

1

1

1

[_separable]

0.517

3148

\[ {}x \cos \left (y\right )^{2}+{\mathrm e}^{x} \tan \left (y\right ) y^{\prime } = 0 \]

1

2

2

[_separable]

1.059

3149

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

1

1

1

[_separable]

1.894

3150

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

1

2

2

[_separable]

0.494

3151

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

1

2

2

[_separable]

0.391

3152

\[ {}x y^{3}+\left (y+1\right ) {\mathrm e}^{-x} y^{\prime } = 0 \]

1

2

2

[_separable]

0.689

3200

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

1

2

2

[_separable]

0.245

3237

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

1

1

1

[_separable]

2.021

3274

\[ {}y^{\prime } = a \,x^{n} y \]

1

1

1

[_separable]

2.195

3277

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

1

1

1

[_separable]

2.142

3280

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

1

1

1

[_separable]

4.082

3288

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

1

1

1

[_separable]

1.773

3290

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

1

1

1

[_separable]

0.871

3299

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

1

1

1

[_separable]

1.095

3327

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

1

1

1

[_separable]

1.513

3331

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

1

1

1

[_separable]

0.592

3332

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

1

1

1

[_separable]

1.323

3338

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

1

1

1

[_separable]

0.99

3340

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

1

1

1

[_separable]

2.484

3346

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

1

1

2

[_separable]

0.73

3351

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

1

1

2

[_separable]

0.954

3365

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

1

1

1

[_separable]

1.817

3366

\[ {}y^{\prime } = \sec \left (x \right )^{2} \cot \left (y\right ) \cos \left (y\right ) \]

1

1

1

[_separable]

0.894

3371

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

1

1

1

[_separable]

0.779

3372

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

1

1

1

[_separable]

1.116

3373

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

1

1

1

[_separable]

0.964

3374

\[ {}y^{\prime } = \sin \left (x \right ) \left (\csc \left (y\right )-\cot \left (y\right )\right ) \]

1

1

1

[_separable]

1.105

3375

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

1

1

1

[_separable]

0.789

3376

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

1

1

1

[_separable]

0.756

3377

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

1

1

1

[_separable]

0.735

3379

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

1

1

1

[_separable]

1.069

3380

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

1

1

1

[_separable]

1.51

3383

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

1

1

1

[_separable]

2.963

3387

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

1

1

1

[_separable]

0.585

3388

\[ {}y^{\prime } = {\mathrm e}^{x} \left (a +b \,{\mathrm e}^{-y}\right ) \]

1

1

1

[_separable]

1.281

3389

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

1

1

1

[_separable]

0.967

3393

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

1

1

1

[_separable]

0.615

3408

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

1

1

1

[_separable]

1.015

3415

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

1

1

1

[_separable]

1.05

3422

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

1

1

1

[_separable]

0.995

3443

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

1

1

2

[_separable]

1.431

3448

\[ {}x y^{\prime } = 4 y-4 \sqrt {y} \]

1

1

1

[_separable]

2.38

3449

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

1

1

1

[_separable]

2.276

3458

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

1

1

1

[_separable]

0.883

3459

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

1

1

1

[_separable]

1.818

3465

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

1

1

1

[_separable]

1.08

3471

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

1

1

1

[_separable]

0.782

3488

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

1

1

1

[_separable]

1.058

3490

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

1

1

1

[_separable]

1.45

3494

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

1

1

2

[_separable]

1.427

3495

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

1

1

2

[_separable]

1.734

3497

\[ {}2 x y^{\prime }+4 y+a +\sqrt {a^{2}-4 b -4 c y} = 0 \]

1

1

1

[_separable]

18.974

3499

\[ {}\left (2 x +1\right ) y^{\prime } = 4 \,{\mathrm e}^{-y}-2 \]

1

1

1

[_separable]

0.921

3505

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

1

1

1

[_separable]

0.778

3510

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

1

1

1

[_separable]

0.684

3515

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

1

1

1

[_separable]

0.772

3539

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

1

1

1

[_separable]

0.63

3544

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

1

1

1

[_separable]

0.552

3550

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

1

1

1

[_separable]

0.69

3551

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

1

1

1

[_separable]

0.555

3552

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

1

1

1

[_separable]

0.515

3555

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

1

1

1

[_separable]

1.104

3556

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

1

1

1

[_separable]

1.698

3562

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

1

1

1

[_separable]

0.938

3565

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

1

1

1

[_separable]

1.346

3569

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

1

1

1

[_separable]

0.655

3575

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

1

1

1

[_separable]

3.375

3576

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

1

1

1

[_separable]

0.874

3578

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

1

1

1

[_separable]

1.49

3580

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

1

1

1

[_separable]

0.829

3581

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

1

1

1

[_separable]

2.154

3583

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

1

1

1

[_separable]

0.647

3595

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

1

1

1

[_separable]

1.681

3596

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

1

1

1

[_separable]

1.227

3597

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

1

1

1

[_separable]

0.753

3604

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

1

1

1

[_separable]

0.538

3613

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

1

1

1

[_separable]

0.647

3614

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

1

1

1

[_separable]

0.71

3628

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

1

1

1

[_separable]

1.381

3632

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

1

1

1

[_separable]

0.826

3644

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

1

1

1

[_separable]

0.656

3645

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

1

1

1

[_separable]

2.009

3647

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

1

1

1

[_separable]

11.581

3648

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

1

1

1

[_separable]

1.438

3649

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

1

1

1

[_separable]

9.665

3650

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

1

1

1

[_separable]

1.847

3654

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

1

1

1

[_separable]

77.213

3655

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

1

1

1

[_separable]

9.26

3656

\[ {}y^{\prime } \sqrt {-x^{4}+1} = \sqrt {1-y^{4}} \]

1

1

1

[_separable]

2.47

3657

\[ {}y^{\prime } \sqrt {x^{4}+x^{2}+1} = \sqrt {1+y^{2}+y^{4}} \]

1

1

1

[_separable]

3.326

3661

\[ {}y^{\prime } \left (x^{3}+1\right )^{\frac {2}{3}}+\left (y^{3}+1\right )^{\frac {2}{3}} = 0 \]

1

1

1

[_separable]

6.859

3662

\[ {}y^{\prime } \left (4 x^{3}+\operatorname {a1} x +\operatorname {a0} \right )^{\frac {2}{3}}+\left (\operatorname {a0} +\operatorname {a1} y+4 y^{3}\right )^{\frac {2}{3}} = 0 \]

1

1

1

[_separable]

0.793

3665

\[ {}\left (1-4 \cos \left (x \right )^{2}\right ) y^{\prime } = \tan \left (x \right ) \left (1+4 \cos \left (x \right )^{2}\right ) y \]

1

1

1

[_separable]

4.974

3666

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

1

1

1

[_separable]

1.358

3667

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

1

1

1

[_separable]

1.652

3671

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

1

1

2

[_separable]

0.987

3672

\[ {}y y^{\prime }+x \,{\mathrm e}^{x^{2}} = 0 \]

1

1

2

[_separable]

0.475

3675

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

1

1

1

[_separable]

0.954

3681

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

1

1

2

[_separable]

1.19

3687

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

1

1

1

[_separable]

0.658

3730

\[ {}3 y y^{\prime }+5 \cot \left (x \right ) \cot \left (y\right ) \cos \left (y\right )^{2} = 0 \]

1

1

1

[_separable]

5.5

3731

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

1

1

1

[_separable]

0.803

3757

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

1

1

2

[_separable]

1.368

3764

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

1

1

2

[_separable]

1.295

3766

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

1

1

2

[_separable]

12.514

3770

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

1

1

1

[_separable]

0.731

3771

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

1

1

1

[_separable]

0.76

3772

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

1

1

1

[_separable]

0.755

3777

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

1

1

1

[_separable]

1.269

3789

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

1

1

1

[_separable]

0.775

3790

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

1

1

1

[_separable]

1.069

3792

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

1

1

2

[_separable]

1.216

3812

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

1

1

1

[_separable]

1.72

3821

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

1

1

1

[_separable]

1.03

3822

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

1

1

1

[_separable]

1.244

3823

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

1

1

2

[_separable]

3.071

3830

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

1

1

2

[_separable]

1.658

3838

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

1

1

2

[_separable]

3.143

3841

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

1

1

1

[_separable]

0.895

3842

\[ {}\left (y+1\right ) y^{\prime } \sqrt {x^{2}+1} = y^{3} \]

1

1

2

[_separable]

1.23

3844

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

1

1

1

[_separable]

0.56

3845

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

1

1

1

[_separable]

0.704

3859

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

1

1

3

[_separable]

165.359

3885

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

1

1

1

[_separable]

1.766

3892

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

1

1

1

[_separable]

1.206

3909

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

1

1

3

[_separable]

1.359

3914

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

1

1

1

[_separable]

1.001

3915

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

1

1

2

[_separable]

3.552

3916

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

1

1

1

[_separable]

1.2

3919

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

1

1

1

[_separable]

1.556

3931

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

1

1

4

[_separable]

2.901

3937

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

1

1

1

[_separable]

3.384

3967

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

1

1

1

[_separable]

3.374

3968

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

1

1

1

[_separable]

2.537

3969

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

1

1

1

[_separable]

166.565

3973

\[ {}\left (y+\sqrt {1+y^{2}}\right ) \left (x^{2}+1\right )^{\frac {3}{2}} y^{\prime } = 1+y^{2} \]

1

1

1

[_separable]

8.955

3974

\[ {}\left (y+\sqrt {1+y^{2}}\right ) \left (x^{2}+1\right )^{\frac {3}{2}} y^{\prime } = 1+y^{2} \]

1

1

1

[_separable]

7.553

3988

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

1

1

2

[_separable]

3.651

4001

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

2

1

2

[_separable]

0.364

4060

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

2

1

2

[_quadrature]

0.297

4062

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

2

1

2

[_separable]

0.333

4065

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

2

2

3

[_separable]

0.554

4067

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

2

2

3

[_separable]

4.494

4107

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

2

1

2

[_quadrature]

0.382

4111

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

2

1

2

[_quadrature]

0.321

4112

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

2

1

2

[_quadrature]

0.332

4128

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

2

1

2

[_separable]

0.419

4132

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

2

1

2

[_separable]

0.51

4141

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

2

1

2

[_separable]

0.542

4143

\[ {}{y^{\prime }}^{2} x^{2}+4 x y y^{\prime }-5 y^{2} = 0 \]

2

1

2

[_separable]

0.556

4144

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

2

2

5

[_separable]

3.259

4145

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

2

1

2

[_separable]

0.499

4157

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

2

1

2

[_separable]

0.523

4183

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

2

2

3

[_quadrature]

0.442

4186

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

2

2

3

[_quadrature]

0.379

4195

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

2

2

3

[_separable]

0.481

4196

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

2

1

3

[_separable]

0.465

4197

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

2

2

3

[_separable]

0.448

4200

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

2

1

3

[_separable]

0.702

4208

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

2

2

4

[_quadrature]

0.453

4209

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

2

4

2

[_separable]

0.355

4225

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

2

2

4

[_separable]

0.59

4272

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

3

1

3

[_quadrature]

0.481

4273

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

3

1

5

[_quadrature]

0.987

4280

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

3

1

3

[_quadrature]

0.448

4318

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

1

1

1

[_separable]

8.423

4341

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

0

1

1

[_separable]

3.098

4355

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

1

1

1

[_separable]

0.963

4356

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

1

1

1

[_separable]

1.661

4357

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

1

1

2

[_separable]

6.803

4358

\[ {}1+y^{2}-\left (y+\sqrt {1+y^{2}}\right ) \left (x^{2}+1\right )^{\frac {3}{2}} y^{\prime } = 0 \]

1

1

1

[_separable]

23.264

4359

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

1

1

1

[_separable]

2.344

4360

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

1

1

1

[_separable]

40.663

4373

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

1

1

1

[_separable]

3.239

4405

\[ {}\frac {\sqrt {f \,x^{4}+c \,x^{3}+c \,x^{2}+b x +a}\, y^{\prime }}{\sqrt {a +b y+c y^{2}+c y^{3}+f y^{4}}} = -1 \]

1

1

1

[_separable]

96.521

4426

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

2

1

2

[_separable]

0.897

4447

\[ {}7 y-3+\left (2 x +1\right ) y^{\prime } = 0 \]

1

1

1

[_separable]

2.137

4515

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

i.c.

1

1

1

[_separable]

2.67

4526

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

1

1

1

[_separable]

32.585

4536

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

1

1

1

[_separable]

1.997

4542

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

1

1

1

[_separable]

1.028

4555

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

1

1

1

[_separable]

6.486

4556

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

1

1

1

[_separable]

4.984

4570

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

1

1

4

[_separable]

4.438

4571

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

1

1

1

[_separable]

3.698

4681

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

1

1

1

[_separable]

0.778

4687

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

1

1

1

[_separable]

1.003

4688

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

1

1

1

[_separable]

0.365

4689

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

1

1

1

[_separable]

1.09

4690

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

1

1

2

[_separable]

2.289

4691

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

1

1

3

[_separable]

177.621

4693

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

1

1

1

[_separable]

0.748

4694

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

1

1

1

[_separable]

34.78

4695

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

1

1

1

[_separable]

0.761

4749

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

i.c.

1

1

1

[_separable]

0.3

4750

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

i.c.

1

1

1

[_separable]

0.746

4751

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

i.c.

1

1

1

[_separable]

2.048

4752

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

i.c.

1

1

2

[_separable]

0.519

4753

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

i.c.

1

1

1

[_quadrature]

0.375

4754

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

i.c.

1

1

2

[_separable]

1.046

4755

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

i.c.

1

1

1

[_separable]

0.517

4756

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

i.c.

1

1

1

[_separable]

0.279

4757

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

i.c.

1

1

1

[_quadrature]

0.387

4758

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

i.c.

1

1

1

[_separable]

0.321

4759

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

i.c.

1

1

1

[_quadrature]

0.264

4760

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

i.c.

1

1

1

[_separable]

2.856

4777

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

1

1

3

[_separable]

1.345

4865

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

1

1

2

[_separable]

1.005

4873

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

1

1

1

[_separable]

1.009

4884

\[ {}y^{\prime }+x y = \frac {x}{y} \]

1

1

2

[_separable]

1.196

4888

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

i.c.

1

1

1

[_separable]

0.992

4893

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

1

1

1

[_separable]

0.536

4895

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

1

1

1

[_separable]

0.51

4897

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

1

1

1

[_separable]

0.454

4915

\[ {}y^{\prime } = \frac {y \,{\mathrm e}^{x +y}}{x^{2}+2} \]

1

1

1

[_separable]

0.726

4916

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

1

1

3

[_separable]

0.747

4918

\[ {}x y^{\prime } = \frac {1}{y^{3}} \]

1

1

4

[_separable]

0.439

4919

\[ {}x^{\prime } = 3 x t^{2} \]

1

1

1

[_separable]

0.547

4920

\[ {}x^{\prime } = \frac {t \,{\mathrm e}^{-t -2 x}}{x} \]

1

1

1

[_separable]

0.743

4921

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

1

1

3

[_separable]

0.605

4922

\[ {}x v^{\prime } = \frac {1-4 v^{2}}{3 v} \]

1

1

2

[_separable]

2.539

4923

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

1

1

1

[_separable]

82.737

4924

\[ {}y^{\prime } = 3 x^{2} \left (1+y^{2}\right )^{\frac {3}{2}} \]

1

1

1

[_separable]

0.89

4926

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

1

1

2

[_separable]

1.51

4927

\[ {}\frac {y^{\prime }}{y}+y \,{\mathrm e}^{\cos \left (x \right )} \sin \left (x \right ) = 0 \]

1

1

1

[_separable]

0.726

4928

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

i.c.

1

1

1

[_separable]

2.17

4929

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

i.c.

1

1

1

[_separable]

1.085

4930

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

i.c.

1

1

1

[_separable]

2.295

4931

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

i.c.

1

1

1

[_separable]

10.971

4932

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

i.c.

1

1

1

[_separable]

3.456

4933

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

i.c.

1

1

1

[_separable]

1.619

4934

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

i.c.

1

1

1

[_separable]

1.257

4935

\[ {}y^{\prime } = 8 x^{3} {\mathrm e}^{-2 y} \]

i.c.

1

1

1

[_separable]

1.196

4936

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

i.c.

1

1

1

[_separable]

1.071

4937

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

i.c.

1

1

1

[_separable]

2.5

4939

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

i.c.

1

1

1

[_separable]

2.085

4940

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

i.c.

1

1

1

[_separable]

76.019

4941

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

i.c.

1

1

1

[_separable]

1.283

4944

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

1

1

1

[_separable]

1.638

4945

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

1

1

2

[_separable]

0.57

4946

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

i.c.

1

1

1

[_separable]

1.247

4947

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

i.c.

1

1

1

[_separable]

1.102

4948

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

i.c.

1

1

1

[_separable]

1.092

4952

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

1

1

1

[_separable]

1.053

4964

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

1

1

1

[_separable]

0.967

4980

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

1

1

1

[_separable]

1.96

4996

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

1

1

1

[_separable]

1.007

5000

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

1

1

2

[_separable]

1.431

5001

\[ {}t^{3} y^{2}+\frac {t^{4} y^{\prime }}{y^{6}} = 0 \]

1

1

7

[_separable]

0.602

5062

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

1

1

1

[_separable]

1.536

5076

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

1

1

1

[_separable]

0.693

5080

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

1

1

1

[_separable]

2.332

5082

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

1

1

1

[_separable]

1.437

5087

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

1

1

1

[_separable]

0.481

5088

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

i.c.

1

1

1

[_separable]

0.514

5089

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

1

3

3

[_separable]

0.513

5090

\[ {}\cos \left (y\right )+\left (1+{\mathrm e}^{-x}\right ) \sin \left (y\right ) y^{\prime } = 0 \]

i.c.

1

1

1

[_separable]

1.862

5091

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

1

1

1

[_separable]

0.279

5113

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

1

1

1

[_separable]

0.855

5116

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

1

1

1

[_separable]

1.238

5119

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

1

1

1

[_separable]

1.118

5122

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

i.c.

1

1

1

[_separable]

1.455

5129

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

i.c.

1

1

1

[_separable]

1.891

5132

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

1

1

2

[_separable]

2.521

5133

\[ {}\frac {r \tan \left (\theta \right ) r^{\prime }}{a^{2}-r^{2}} = 1 \]

i.c.

1

1

2

[_separable]

7.163

5226

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

1

1

1

[_separable]

1.257

5227

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

1

1

2

[_separable]

1.714

5236

\[ {}4 y+x y^{\prime } = 0 \]

1

1

1

[_separable]

1.306

5237

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

1

1

1

[_separable]

3.143

5238

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

1

1

1

[_separable]

1.185

5239

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

1

1

1

[_separable]

1.408

5245

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

1

1

1

[_separable]

1.612

5246

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

1

1

1

[_separable]

1.198

5250

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

1

1

1

[_separable]

1.465

5253

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

1

1

1

[_separable]

1.492

5256

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

i.c.

1

1

1

[_separable]

1.536

5258

\[ {}\cos \left (y\right )+\left (1+{\mathrm e}^{-x}\right ) \sin \left (y\right ) y^{\prime } = 0 \]

i.c.

1

1

1

[_separable]

2.595

5299

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

1

1

1

[_separable]

1.299

5308

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

1

1

2

[_separable]

2.288

5323

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

2

1

2

[_separable]

0.877

5324

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

2

1

2

[_quadrature]

0.586

5714

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

1

2

2

[_separable]

0.309

5715

\[ {}y^{\prime } = \frac {x^{2}}{y \left (x^{3}+1\right )} \]

1

2

2

[_separable]

0.181

5716

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

1

1

1

[_separable]

0.265

5717

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

1

1

1

[_separable]

0.757

5718

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

1

3

3

[_separable]

156.172

5719

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

1

1

1

[_separable]

0.33

5720

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

i.c.

1

1

1

[_separable]

0.523

5721

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

i.c.

1

1

1

[_quadrature]

0.492

5722

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

i.c.

1

1

1

[_separable]

0.662

5723

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

1

1

2

[_separable]

0.775

5724

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

1

1

1

[_separable]

0.595

5725

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

1

1

1

[_quadrature]

0.446

5726

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

i.c.

1

1

1

[_separable]

0.828

5727

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

i.c.

1

1

1

[_separable]

1.022

5728

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

1

1

1

[_separable]

0.474

5729

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

1

1

4

[_separable]

0.3

5730

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

1

1

1

[_separable]

0.27

5731

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

1

1

1

[_separable]

0.385

5732

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

1

1

1

[_separable]

0.428

5733

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

1

1

1

[_separable]

0.286

5734

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

1

1

1

[_separable]

0.161

5735

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

1

1

1

[_separable]

0.244

5736

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

1

1

1

[_separable]

0.21

5737

\[ {}z^{\prime } = 10^{x +z} \]

1

1

1

[_separable]

0.222

5738

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

1

1

1

[_quadrature]

0.129

5747

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

1

1

1

[_separable]

0.765

5748

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

1

1

1

[_separable]

1.892

5750

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

1

1

1

[_separable]

1.016

5808

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

1

1

2

[_separable]

2.096

5834

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

1

1

1

[_separable]

0.74

5835

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

1

1

3

[_separable]

164.3

5836

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

i.c.

1

1

1

[_separable]

3.204

5844

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

1

1

1

[_separable]

2.951

5887

\[ {}y \,{\mathrm e}^{x y}+x \,{\mathrm e}^{x y} y^{\prime } = 0 \]

1

1

1

[_separable]

1.178

5915

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

1

1

1

[_separable]

1.06

5933

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

1

1

1

[_separable]

1.325

5935

\[ {}y^{\prime }+{\mathrm e}^{x} y = 3 \,{\mathrm e}^{x} \]

1

1

1

[_separable]

1.077

6063

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

1

1

1

[_separable]

0.765

6064

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

1

1

2

[_separable]

1.651

6065

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

1

1

3

[_separable]

172.495

6066

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

1

1

1

[_separable]

0.982

6067

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

1

1

1

[_separable]

1.866

6106

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

1

1

1

[_separable]

0.975

6107

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

1

1

2

[_separable]

0.77

6139

\[ {}x^{5} y^{\prime }+y^{5} = 0 \]

1

1

4

[_separable]

0.279

6140

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

1

1

1

[_separable]

0.278

6141

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

1

1

1

[_separable]

0.499

6142

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

1

1

1

[_separable]

0.289

6143

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

1

1

1

[_separable]

0.781

6144

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

1

1

1

[_separable]

0.354

6145

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

1

1

1

[_separable]

0.329

6146

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

1

1

1

[_separable]

0.445

6147

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

1

1

1

[_separable]

0.381

6148

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

1

1

1

[_separable]

0.161

6149

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

i.c.

1

1

1

[_separable]

0.855

6150

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

i.c.

1

1

1

[_separable]

0.589

6151

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

i.c.

1

1

1

[_separable]

0.887

6152

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

i.c.

1

1

1

[_separable]

1.717

6153

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

i.c.

1

1

1

[_separable]

0.424

6154

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

i.c.

1

1

1

[_separable]

1.011

6176

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

1

1

3

[_separable]

7.695

6180

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

1

1

1

[_separable]

2.501

6186

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

1

1

2

[_separable]

2.158

6187

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

1

1

3

[_separable]

8.104

6190

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

1

1

1

[_separable]

1.761

6196

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

1

1

1

[_separable]

1.919

6251

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

1

1

1

[_separable]

2.053

6252

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

1

1

1

[_separable]

3.589

6255

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

1

1

1

[_separable]

2.572

6256

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

1

1

1

[_separable]

41.194

6259

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

i.c.

1

1

1

[_separable]

163.036

6260

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

i.c.

1

1

1

[_separable]

5.879

6263

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

i.c.

1

1

1

[_separable]

17.418

6264

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

1

1

1

[_separable]

2.627

6405

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

1

1

1

[_separable]

1.815

6417

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

1

1

1

[_separable]

1.5

6419

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

1

1

1

[_separable]

1.664

6767

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

2

1

2

[_separable]

0.528

6768

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

2

1

2

[_quadrature]

0.503

6769

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

2

1

2

[_separable]

0.602

6770

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

2

1

2

[_separable]

0.618

6771

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

2

1

2

[_quadrature]

0.421

6772

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

2

1

2

[_quadrature]

0.398

6774

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

2

1

2

[_separable]

0.465

6776

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

2

2

3

[_quadrature]

0.532

6777

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

2

1

2

[_separable]

0.546

6780

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

2

2

3

[_quadrature]

0.536

6784

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

3

1

3

[_quadrature]

0.477

6866

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

2

1

2

[_quadrature]

0.651

6871

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

2

2

4

[_quadrature]

0.669

6885

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

2

1

2

[_quadrature]

0.806

7029

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

1

1

1

[_separable]

1.048

7030

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

i.c.

1

1

1

[_separable]

1.919

7045

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

1

1

1

[_separable]

2.487

7046

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

1

1

1

[_separable]

0.819

7047

\[ {}y^{\prime } = \frac {\sec \left (x \right ) \left (\sin \left (y\right )+y\right )}{x} \]

1

1

1

[_separable]

2.619

7048

\[ {}y^{\prime } = \left (5+\frac {\sec \left (x \right )}{x}\right ) \left (\sin \left (y\right )+y\right ) \]

1

1

1

[_separable]

11.605

7056

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

i.c.

1

1

1

[_separable]

1.167

7057

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

1

1

1

[_separable]

0.577

7058

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

1

1

1

[_separable]

1.029

7067

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

2

2

2

[_separable]

2.337

7124

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

1

1

1

[_separable]

4.036

7128

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

1

1

1

[_quadrature]

0.821

7314

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

1

1

1

[_separable]

1.014

7322

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

1

1

1

[_separable]

1.506

7373

\[ {}{y^{\prime }}^{2} = \frac {1}{x^{2} y^{3}} \]

2

2

2

[_separable]

1.224

7375

\[ {}{y^{\prime }}^{2} = \frac {1}{x^{3} y^{4}} \]

2

6

6

[_separable]

1.374

7382

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

1

1

1

[_separable]

1.191

8346

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

1

1

1

[_separable]

1.509

8366

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

1

1

1

[_separable]

1.435

8368

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

1

1

1

[_separable]

1.48

8372

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

1

1

1

[_separable]

1.998

8397

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

1

1

1

[_separable]

22.204

8398

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

1

1

1

[_separable]

1.974

8400

\[ {}y^{\prime }-\frac {1+y^{2}}{{| y+\sqrt {y+1}|} \left (1+x \right )^{\frac {3}{2}}} = 0 \]

1

1

1

[_separable]

130.102

8403

\[ {}y^{\prime }-\frac {\sqrt {{| y \left (y-1\right ) \left (-1+a y\right )|}}}{\sqrt {{| x \left (-1+x \right ) \left (x a -1\right )|}}} = 0 \]

1

1

1

[_separable]

2.278

8404

\[ {}y^{\prime }-\frac {\sqrt {1-y^{4}}}{\sqrt {-x^{4}+1}} = 0 \]

1

1

1

[_separable]

4.066

8409

\[ {}y^{\prime }-\operatorname {R1} \left (x , \sqrt {a_{4} x^{4}+a_{3} x^{3}+a_{2} x^{2}+a_{1} x +a_{0}}\right ) \operatorname {R2} \left (y, \sqrt {b_{4} y^{4}+b_{3} y^{3}+b_{2} y^{2}+b_{1} y+b_{0}}\right ) = 0 \]

1

1

1

[_separable]

1.336

8412

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

1

1

1

[_separable]

1.88

8433

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

1

1

1

[_separable]

1.039

8454

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

1

1

1

[_separable]

1.248

8467

\[ {}\left (2 x +1\right ) y^{\prime }-4 \,{\mathrm e}^{-y}+2 = 0 \]

1

1

1

[_separable]

1.796

8471

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

1

1

1

[_separable]

1.096

8494

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

1

1

1

[_separable]

3.3

8495

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

1

1

1

[_separable]

2.702

8510

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

1

1

1

[_separable]

0.967

8519

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

1

1

1

[_separable]

1.318

8526

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

1

1

1

[_separable]

15.137

8527

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

1

1

1

[_separable]

1.783

8535

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

1

1

1

[_separable]

27.957

8546

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

1

1

2

[_separable]

1.973

8578

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

1

1

2

[_separable]

2.362

8592

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

1

1

1

[_separable]

1.733

8644

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

1

1

3

[_separable]

2.089

8645

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

1

1

4

[_separable]

4.007

8667

\[ {}\frac {y^{\prime } f_{\nu }\left (x \right ) \left (-y+y^{p +1}\right )}{y-1}-\frac {g_{\nu }\left (x \right ) \left (-y+y^{q +1}\right )}{y-1} = 0 \]

1

1

1

[_separable]

2.638

8671

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

1

1

1

[_separable]

2.625

8683

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

1

1

1

[_separable]

6.272

8689

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

1

1

1

[_separable]

3.712

8694

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

1

1

1

[_separable]

3.329

8695

\[ {}3 y^{\prime } \sin \left (x \right ) \sin \left (y\right )+5 \cos \left (x \right )^{4} y = 0 \]

1

1

1

[_separable]

32.413

8729

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

2

2

3

[_separable]

8.635

8731

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

2

1

2

[_separable]

0.816

8773

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

2

1

2

[_separable]

1.616

8774

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

2

2

3

[_separable]

1.979

8775

\[ {}{y^{\prime }}^{2} x^{2}+4 x y y^{\prime }-5 y^{2} = 0 \]

2

1

2

[_separable]

1.934

8776

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

2

2

5

[_separable]

7.426

8777

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

2

1

2

[_linear]

1.335

8783

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

2

1

2

[_separable]

1.438

8805

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

2

2

3

[_quadrature]

0.495

8815

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

2

2

3

[_separable]

0.627

8839

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

2

1

4

[_separable]

1.033

8859

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

2

2

3

[_separable]

6.857

8860

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

3

1

3

[_quadrature]

0.309

8885

\[ {}{y^{\prime }}^{n}-f \left (x \right )^{n} \left (y-a \right )^{n +1} \left (y-b \right )^{n -1} = 0 \]

0

1

1

[_separable]

40.158

8899

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

0

1

1

[_separable]

1.886

10326

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

1

1

1

[_separable]

0.701

11126

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

1

1

1

[_separable]

7.841

11127

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

1

1

1

[_separable]

0.849

11128

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

1

1

2

[_separable]

3.162

11129

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

1

1

1

[_separable]

2.36

11134

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

1

1

2

[_separable]

1.187

11148

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

1

1

2

[_separable]

2.46

11149

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

1

1

1

[_separable]

32.255

11153

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

1

1

3

[_separable]

1.021

11164

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

1

1

4

[_separable]

0.923

11170

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

1

1

1

[_separable]

1.969

11171

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

1

1

1

[_separable]

1.859

11175

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

1

1

1

[_separable]

1.22

11182

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

1

1

1

[_separable]

3.538

11188

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

1

1

1

[_separable]

1.126

11189

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

1

1

1

[_separable]

1.99

11230

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

2

2

3

[_separable]

6.134

11232

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

2

1

2

[_separable]

0.957

11348

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

1

1

1

[_separable]

1.427

11349

\[ {}x^{\prime } = -\frac {t}{x} \]

1

1

2

[_separable]

2.038

11354

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

1

1

1

[_separable]

0.954

11375

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

1

1

1

[_separable]

1.369

11376

\[ {}\theta ^{\prime } = t \sqrt {t^{2}+1}\, \sec \left (\theta \right ) \]

1

1

1

[_separable]

1.33

11377

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

1

1

2

[_separable]

2.651

11378

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

1

1

1

[_separable]

0.952

11380

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

1

1

1

[_separable]

0.79

11383

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

i.c.

1

1

1

[_separable]

0.859

11384

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

i.c.

1

1

1

[_separable]

1.192

11386

\[ {}x^{\prime } = {\mathrm e}^{t +x} \]

i.c.

1

1

1

[_separable]

1.159

11387

\[ {}T^{\prime } = 2 a t \left (T^{2}-a^{2}\right ) \]

i.c.

1

1

1

[_separable]

3.982

11388

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

i.c.

1

0

1

[_separable]

1.928

11389

\[ {}x^{\prime } = \frac {\left (4+2 t \right ) x}{\ln \left (x\right )} \]

i.c.

1

1

1

[_separable]

2.101

11390

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

i.c.

1

1

1

[_separable]

1.32

11391

\[ {}x^{\prime } = \frac {t^{2}}{1-x^{2}} \]

i.c.

1

1

2

[_separable]

34.553

11392

\[ {}x^{\prime } = 6 t \left (x-1\right )^{\frac {2}{3}} \]

1

1

1

[_separable]

2.516

11397

\[ {}y^{\prime } = -y^{2} {\mathrm e}^{-t^{2}} \]

i.c.

1

1

1

[_separable]

1.162

11399

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

1

1

1

[_separable]

2.375

11409

\[ {}\left (t^{2}+1\right ) x^{\prime } = -3 x t +6 t \]

1

1

1

[_separable]

1.603

11411

\[ {}x^{\prime } = \left (a +\frac {b}{t}\right ) x \]

i.c.

1

1

1

[_separable]

1.794

11414

\[ {}\cos \left (\theta \right ) v^{\prime }+v = 3 \]

1

1

1

[_separable]

2.734

11417

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

1

1

1

[_separable]

0.963

11422

\[ {}x^{\prime }+p \left (t \right ) x = 0 \]

1

1

1

[_separable]

1.148

11425

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

1

1

3

[_separable]

3.64

11429

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

1

1

4

[_separable]

1.018

11432

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

1

1

3

[_separable]

1.022

11433

\[ {}x^{2}-t^{2} x^{\prime } = 0 \]

1

1

1

[_separable]

0.919

11434

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

1

1

1

[_separable]

3.178

11576

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

1

1

1

[_separable]

1.668

11592

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

i.c.

1

1

1

[_separable]

8.564

11593

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

i.c.

1

1

1

[_separable]

1.306

11602

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

1

1

2

[_separable]

1.515

11613

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

1

1

1

[_separable]

1.021

11614

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

1

1

1

[_separable]

1.643

11615

\[ {}2 r \left (s^{2}+1\right )+\left (r^{4}+1\right ) s^{\prime } = 0 \]

1

1

1

[_separable]

1.425

11616

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

1

1

1

[_separable]

1.87

11617

\[ {}\tan \left (\theta \right )+2 r \theta ^{\prime } = 0 \]

1

1

2

[_separable]

3.254

11618

\[ {}\left ({\mathrm e}^{v}+1\right ) \cos \left (u \right )+{\mathrm e}^{v} \left (1+\sin \left (u \right )\right ) v^{\prime } = 0 \]

1

1

1

[_separable]

3.265

11619

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

1

1

2

[_separable]

6.879

11627

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

i.c.

1

1

1

[_separable]

20.057

11628

\[ {}8 \cos \left (y\right )^{2}+\csc \left (x \right )^{2} y^{\prime } = 0 \]

i.c.

1

1

1

[_separable]

4.664

11629

\[ {}\left (3 x +8\right ) \left (y^{2}+4\right )-4 y \left (x^{2}+5 x +6\right ) y^{\prime } = 0 \]

i.c.

1

1

1

[_separable]

4.756

11640

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

1

1

1

[_separable]

1.616

11641

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

1

1

1

[_separable]

1.453

11642

\[ {}\left (u^{2}+1\right ) v^{\prime }+4 u v = 3 u \]

1

1

1

[_separable]

1.74

11651

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

1

1

1

[_separable]

2.38

11653

\[ {}y^{\prime }+\left (4 y-\frac {8}{y^{3}}\right ) x = 0 \]

1

1

4

[_separable]

3.195

11654

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

1

1

2

[_separable]

2.929

11656

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

i.c.

1

1

1

[_separable]

2.121

11658

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

i.c.

1

1

1

[_separable]

1.696

11670

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

1

1

2

[_separable]

2.131

11674

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

1

1

1

[_separable]

1.217

11676

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

1

1

1

[_separable]

1.235

11679

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

1

1

3

[_separable]

2.839

11680

\[ {}8 x^{3} y-12 x^{3}+\left (x^{4}+1\right ) y^{\prime } = 0 \]

1

1

1

[_separable]

1.727

11685

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

1

1

2

[_separable]

6.259

11686

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

1

1

1

[_separable]

1.814

11689

\[ {}2 y^{2}+8+\left (-x^{2}+1\right ) y y^{\prime } = 0 \]

i.c.

1

1

2

[_separable]

2.822

11692

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

i.c.

1

1

1

[_separable]

9.377

11694

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

i.c.

1

1

1

[_separable]

1.28

11982

\[ {}x^{\prime } = t^{3} \left (-x+1\right ) \]

i.c.

1

1

1

[_separable]

1.519

11983

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

i.c.

1

1

1

[_separable]

4.773

11984

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

1

1

1

[_separable]

1.078

11986

\[ {}y^{\prime } = y^{2} {\mathrm e}^{-t^{2}} \]

1

1

1

[_separable]

1.004

11988

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

1

1

1

[_separable]

2.334

11989

\[ {}i^{\prime } = p \left (t \right ) i \]

1

1

1

[_separable]

1.553

11995

\[ {}x^{\prime }+x t = 4 t \]

i.c.

1

1

1

[_separable]

2.01

12008

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

1

1

2

[_separable]

1.548

12009

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

1

1

1

[_separable]

3.09

12111

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

1

1

1

[_separable]

3.395

12118

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

1

1

1

[_separable]

0.956

12121

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

2

1

3

[_separable]

1.464

12125

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

1

1

2

[_separable]

6.814

12162

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

2

2

3

[_separable]

7.544

12211

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

1

1

1

[_separable]

0.653

12212

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

1

1

1

[_separable]

0.689

12214

\[ {}x \left ({\mathrm e}^{y}+4\right ) = {\mathrm e}^{x +y} y^{\prime } \]

1

1

1

[_separable]

1.537

12218

\[ {}y^{\prime } = x \,{\mathrm e}^{-x +y^{2}} \]

1

1

1

[_separable]

0.623

12220

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

1

1

1

[_separable]

0.859

12231

\[ {}5 y^{\prime }-x y = 0 \]

1

1

1

[_separable]

0.864

12425

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

1

1

1

[_separable]

1.044

12426

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

1

1

1

[_separable]

0.807

12427

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

1

1

1

[_separable]

1.373

12428

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

1

1

1

[_separable]

1.522

12429

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

1

1

1

[_separable]

1.454

12430

\[ {}z-\left (-a^{2}+t^{2}\right ) z^{\prime } = 0 \]

1

1

1

[_separable]

2.063

12431

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

1

1

1

[_separable]

1.121

12432

\[ {}1+s^{2}-\sqrt {t}\, s^{\prime } = 0 \]

1

1

1

[_separable]

1.293

12433

\[ {}r^{\prime }+r \tan \left (t \right ) = 0 \]

1

1

1

[_separable]

1.293

12434

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

1

1

1

[_separable]

0.972

12435

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

1

1

1

[_separable]

0.769

12436

\[ {}3 \,{\mathrm e}^{x} \tan \left (y\right )+\left (-{\mathrm e}^{x}+1\right ) \sec \left (y\right )^{2} y^{\prime } = 0 \]

1

1

1

[_separable]

3.153

12437

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

1

1

2

[_separable]

2.376

12464

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

1

1

1

[_separable]

3.735

12476

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

1

1

1

[_separable]

0.786

12484

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

1

1

1

[_separable]

0.766

12539

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

1

1

1

[_separable]

0.8

12547

\[ {}3 \,{\mathrm e}^{x} \tan \left (y\right )+\left (-{\mathrm e}^{x}+1\right ) \sec \left (y\right )^{2} y^{\prime } = 0 \]

1

1

1

[_separable]

1.802

12574

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

1

1

1

[_separable]

0.635

12581

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

1

1

1

[_separable]

0.812

12589

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

1

1

1

[_separable]

0.7

12596

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

1

1

1

[_separable]

0.699

12599

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

1

1

1

[_separable]

1.069

12602

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

1

1

1

[_separable]

0.98

12620

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

1

1

1

[_separable]

0.642

12621

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

1

1

1

[_separable]

0.712

12625

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

1

1

1

[_separable]

0.557

12626

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

1

1

2

[_separable]

1.197

12627

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

1

1

1

[_separable]

0.602

12632

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

1

1

1

[_separable]

0.626

12638

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

1

1

2

[_separable]

0.677

12642

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

1

1

3

[_separable]

5.332

12643

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

1

1

1

[_separable]

1.188

12644

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

1

1

1

[_separable]

0.788

12658

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

i.c.

1

1

1

[_separable]

1.98

12673

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

i.c.

1

1

1

[_separable]

1.371

12674

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

i.c.

1

1

1

[_separable]

0.887

12675

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

i.c.

1

1

1

[_separable]

2.724

12677

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

i.c.

1

1

1

[_separable]

1.167

12678

\[ {}x \,{\mathrm e}^{y}+y^{\prime } = 0 \]

i.c.

1

1

1

[_separable]

0.982

12679

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

i.c.

1

1

1

[_separable]

1.328

12681

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

1

1

2

[_separable]

1.467

12687

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

i.c.

1

1

1

[_separable]

0.926

12692

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

1

1

2

[_separable]

1.227

12693

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

1

1

1

[_separable]

0.654

12695

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

1

1

1

[_separable]

1.379

12696

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

1

1

3

[_separable]

1.635

12697

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

1

1

1

[_separable]

0.972

12700

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

i.c.

1

1

1

[_separable]

0.887

12701

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

i.c.

1

1

1

[_separable]

0.849

12711

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

i.c.

1

1

1

[_separable]

1.566

12712

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

i.c.

1

1

1

[_separable]

3.958

12713

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

i.c.

1

1

2

[_separable]

3.991

12714

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

i.c.

1

1

1

[_separable]

1.318

12715

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

i.c.

1

1

1

[_separable]

4.206

12716

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

i.c.

1

1

1

[_separable]

3.059

12717

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

i.c.

1

1

1

[_separable]

3.874

12718

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

i.c.

1

1

1

[_separable]

2.662

12719

\[ {}y^{\prime } = 3 x y^{\frac {1}{3}} \]

i.c.

1

1

1

[_separable]

1.885

12720

\[ {}y^{\prime } = 3 x y^{\frac {1}{3}} \]

i.c.

1

0

1

[_separable]

1.247

12721

\[ {}y^{\prime } = 3 x y^{\frac {1}{3}} \]

i.c.

1

1

1

[_separable]

2.645

12722

\[ {}y^{\prime } = 3 x y^{\frac {1}{3}} \]

i.c.

1

1

1

[_separable]

1.622

12723

\[ {}y^{\prime } = 3 x y^{\frac {1}{3}} \]

i.c.

1

1

1

[_separable]

2.546

12734

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

i.c.

1

1

1

[_separable]

1.947

12735

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

i.c.

1

1

1

[_separable]

9.96

12736

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

i.c.

1

1

1

[_separable]

12.649

12737

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

i.c.

1

1

1

[_separable]

1.989

12864

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

1

1

1

[_separable]

1.167

12865

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

1

1

1

[_separable]

0.587

12866

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

1

1

1

[_separable]

0.699

12871

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

1

1

1

[_separable]

0.711

12872

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

1

1

2

[_separable]

1.332

12873

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

1

1

2

[_separable]

0.818

12874

\[ {}y^{\prime } = t y^{\frac {1}{3}} \]

1

1

1

[_separable]

2.068

12876

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

1

1

1

[_separable]

1.311

12878

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

1

1

3

[_separable]

154.546

12879

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

1

1

1

[_separable]

0.914

12880

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

1

1

2

[_separable]

0.904

12881

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

1

1

1

[_separable]

1.037

12883

\[ {}w^{\prime } = \frac {w}{t} \]

1

1

1

[_separable]

0.747

12885

\[ {}x^{\prime } = -x t \]

i.c.

1

1

1

[_separable]

1.188

12886

\[ {}y^{\prime } = t y \]

i.c.

1

1

1

[_separable]

0.984

12888

\[ {}y^{\prime } = t^{2} y^{3} \]

i.c.

1

1

1

[_separable]

1.401

12890

\[ {}y^{\prime } = \frac {t}{y-t^{2} y} \]

i.c.

1

1

1

[_separable]

3.08

12892

\[ {}y^{\prime } = t y^{2}+2 y^{2} \]

i.c.

1

1

1

[_separable]

0.93

12893

\[ {}x^{\prime } = \frac {t^{2}}{x+t^{3} x} \]

i.c.

1

1

1

[_separable]

1.807

12895

\[ {}y^{\prime } = \left (1+y^{2}\right ) t \]

i.c.

1

1

1

[_separable]

1.343

12897

\[ {}y^{\prime } = 2 t y^{2}+3 t^{2} y^{2} \]

i.c.

1

1

1

[_separable]

1.02

12908

\[ {}y^{\prime } = \left (t +1\right ) y \]

i.c.

1

1

1

[_separable]

1.127

12918

\[ {}y^{\prime } = t y+t y^{2} \]

1

1

1

[_separable]

1.455

12919

\[ {}y^{\prime } = t^{2}+t^{2} y \]

1

1

1

[_separable]

0.767

12920

\[ {}y^{\prime } = t +t y \]

1

1

1

[_separable]

0.754

12947

\[ {}y^{\prime } = \frac {1}{\left (y+1\right ) \left (t -2\right )} \]

i.c.

1

1

1

[_separable]

1.741

12949

\[ {}y^{\prime } = \frac {t}{y-2} \]

i.c.

1

1

1

[_separable]

6.28

13031

\[ {}y^{\prime } = \frac {\left (t^{2}-4\right ) \left (y+1\right ) {\mathrm e}^{y}}{\left (-1+t \right ) \left (3-y\right )} \]

1

1

1

[_separable]

1.492

13036

\[ {}y^{\prime } = t y \]

1

1

1

[_separable]

0.671

13038

\[ {}y^{\prime } = \frac {t y}{t^{2}+1} \]

1

1

1

[_separable]

0.777

13044

\[ {}x^{\prime } = -x t \]

i.c.

1

1

1

[_separable]

1.101

13047

\[ {}y^{\prime } = t^{2} y^{3}+y^{3} \]

i.c.

1

1

1

[_separable]

1.82

13050

\[ {}y^{\prime } = \frac {\left (t +1\right )^{2}}{\left (y+1\right )^{2}} \]

i.c.

1

1

1

[_separable]

142.759

13051

\[ {}y^{\prime } = 2 t y^{2}+3 t^{2} y^{2} \]

i.c.

1

1

1

[_separable]

1.585

13053

\[ {}y^{\prime } = \frac {t^{2}}{y+t^{3} y} \]

i.c.

1

1

1

[_separable]

2.47

13057

\[ {}y^{\prime } = t^{2} y+1+y+t^{2} \]

1

1

1

[_separable]

1.416

13058

\[ {}y^{\prime } = \frac {2 y+1}{t} \]

1

1

1

[_separable]

2.338

13246

\[ {}y y^{\prime } = 2 x \]

1

1

2

[_separable]

1.46

13287

\[ {}y^{\prime }+3 x y = 6 x \]

1

1

1

[_separable]

1.275

13290

\[ {}x^{2} y^{\prime }+x y^{2} = x \]

1

1

1

[_separable]

1.619

13293

\[ {}\left (-2+x \right ) y^{\prime } = 3+y \]

1

1

1

[_separable]

1.36

13294

\[ {}\left (y-2\right ) y^{\prime } = x -3 \]

1

1

2

[_separable]

2.321

13298

\[ {}y^{\prime } = 3 y^{2}-y^{2} \sin \left (x \right ) \]

1

1

1

[_separable]

0.945

13303

\[ {}y^{\prime }+x y = 4 x \]

1

1

1

[_separable]

0.996

13305

\[ {}y^{\prime } = x y-3 x -2 y+6 \]

1

1

1

[_separable]

0.914

13307

\[ {}y y^{\prime } = {\mathrm e}^{x -3 y^{2}} \]

1

1

2

[_separable]

1.176

13308

\[ {}y^{\prime } = \frac {x}{y} \]

1

1

2

[_separable]

1.408

13310

\[ {}x y y^{\prime } = y^{2}+9 \]

1

1

2

[_separable]

2.068

13311

\[ {}y^{\prime } = \frac {1+y^{2}}{x^{2}+1} \]

1

1

1

[_separable]

0.79

13312

\[ {}\cos \left (y\right ) y^{\prime } = \sin \left (x \right ) \]

1

1

1

[_separable]

1.252

13313

\[ {}y^{\prime } = {\mathrm e}^{2 x -3 y} \]

1

1

1

[_separable]

0.785

13314

\[ {}y^{\prime } = \frac {x}{y} \]

i.c.

1

1

1

[_separable]

3.223

13315

\[ {}y^{\prime } = 2 x -1+2 x y-y \]

i.c.

1

1

1

[_separable]

1.231

13316

\[ {}y y^{\prime } = x y^{2}+x \]

i.c.

1

1

1

[_separable]

2.479

13318

\[ {}y^{\prime } = x y-4 x \]

1

1

1

[_separable]

0.863

13320

\[ {}y y^{\prime } = x y^{2}-9 x \]

1

1

2

[_separable]

1.435

13322

\[ {}y^{\prime } = {\mathrm e}^{x +y^{2}} \]

1

1

1

[_separable]

0.653

13324

\[ {}y^{\prime } = x y-4 x \]

1

1

1

[_separable]

0.678

13325

\[ {}y^{\prime } = x y-3 x -2 y+6 \]

1

1

1

[_separable]

0.895

13326

\[ {}y^{\prime } = 3 y^{2}-y^{2} \sin \left (x \right ) \]

1

1

1

[_separable]

0.82

13328

\[ {}y^{\prime } = \frac {y}{x} \]

1

1

1

[_separable]

0.754

13329

\[ {}y^{\prime } = \frac {6 x^{2}+4}{3 y^{2}-4 y} \]

1

1

3

[_separable]

163.516

13330

\[ {}\left (x^{2}+1\right ) y^{\prime } = 1+y^{2} \]

1

1

1

[_separable]

0.79

13331

\[ {}\left (y^{2}-1\right ) y^{\prime } = 4 x y^{2} \]

1

1

2

[_separable]

1.783

13334

\[ {}y^{\prime } = 3 x y^{3} \]

1

1

2

[_separable]

0.864

13335

\[ {}y^{\prime } = \frac {2+\sqrt {x}}{2+\sqrt {y}} \]

1

1

1

[_separable]

99.218

13336

\[ {}y^{\prime }-3 x^{2} y^{2} = -3 x^{2} \]

1

1

1

[_separable]

1.275

13337

\[ {}y^{\prime }-3 x^{2} y^{2} = 3 x^{2} \]

1

1

1

[_separable]

0.945

13340

\[ {}y y^{\prime } = \sin \left (x \right ) \]

i.c.

1

1

1

[_separable]

1.444

13341

\[ {}y^{\prime } = 2 x -1+2 x y-y \]

i.c.

1

0

1

[_separable]

1.051

13342

\[ {}x y^{\prime } = y^{2}-y \]

i.c.

1

1

1

[_separable]

2.388

13343

\[ {}x y^{\prime } = y^{2}-y \]

i.c.

1

1

1

[_separable]

1.352

13344

\[ {}y^{\prime } = \frac {y^{2}-1}{x y} \]

i.c.

1

1

1

[_separable]

7.687

13345

\[ {}\left (y^{2}-1\right ) y^{\prime } = 4 x y \]

i.c.

1

0

1

[_separable]

4.379

13353

\[ {}y^{\prime } = \sin \left (x \right ) y \]

1

1

1

[_separable]

1.004

13359

\[ {}y^{\prime }-2 x y = x \]

1

1

1

[_separable]

1.043

13407

\[ {}2-2 x +3 y^{2} y^{\prime } = 0 \]

1

1

3

[_separable]

12.222

13411

\[ {}1+{\mathrm e}^{y}+x \,{\mathrm e}^{y} y^{\prime } = 0 \]

1

1

1

[_separable]

1.158

13413

\[ {}1+y^{4}+x y^{3} y^{\prime } = 0 \]

1

1

4

[_separable]

2.348

13417

\[ {}3 y+3 y^{2}+\left (2 x +4 x y\right ) y^{\prime } = 0 \]

1

1

4

[_separable]

2.772

13418

\[ {}2 x \left (y+1\right )-y^{\prime } = 0 \]

1

1

1

[_separable]

1.078

13423

\[ {}x y^{\prime } = 2 y^{2}-6 y \]

1

1

1

[_separable]

2.752

13424

\[ {}4 y^{2}-x^{2} y^{2}+y^{\prime } = 0 \]

1

1

1

[_separable]

0.845

13438

\[ {}y^{\prime } = \frac {1}{x y-3 x} \]

1

1

2

[_separable]

0.931

13441

\[ {}\sin \left (y\right )+\left (1+x \right ) \cos \left (y\right ) y^{\prime } = 0 \]

1

1

1

[_separable]

10.951

13447

\[ {}y^{\prime } = x y^{2}+3 y^{2}+x +3 \]

1

1

1

[_separable]

0.981

13461

\[ {}y^{2}-y^{2} \cos \left (x \right )+y^{\prime } = 0 \]

1

1

1

[_separable]

1.0

13464

\[ {}y^{\prime } = y^{3}-y^{3} \cos \left (x \right ) \]

1

1

2

[_separable]

1.077

13466

\[ {}y^{\prime } = {\mathrm e}^{4 x +3 y} \]

1

1

1

[_separable]

0.825

13468

\[ {}y^{\prime } = {\mathrm e}^{4 x +3 y} \]

1

1

1

[_separable]

0.732

14054

\[ {}y^{\prime }+x y = 0 \]

1

1

1

[_separable]

1.553

14065

\[ {}y^{\prime } = -\frac {x}{y} \]

1

1

2

[_separable]

2.871

14095

\[ {}y^{\prime } = \frac {\left (x -4\right ) y^{3}}{x^{3} \left (y-2\right )} \]

1

1

2

[_separable]

2.083

14105

\[ {}y^{\prime }+y \cos \left (x \right ) = 0 \]

1

1

1

[_separable]

1.975

14128

\[ {}\frac {y^{\prime }}{t} = \sqrt {y} \]

i.c.

1

1

1

[_separable]

2.411

14130

\[ {}y^{\prime } = y \sqrt {t} \]

i.c.

1

1

1

[_separable]

2.45

14133

\[ {}t y^{\prime } = y \]

1

1

1

[_separable]

1.45

14134

\[ {}y^{\prime } = y \tan \left (t \right ) \]

i.c.

1

1

1

[_separable]

3.138

14155

\[ {}y^{\prime } = t y^{2} \]

i.c.

1

1

1

[_separable]

1.537

14156

\[ {}y^{\prime } = -\frac {t}{y} \]

i.c.

1

1

1

[_separable]

20.007

14158

\[ {}y^{\prime } = \frac {x}{y^{2}} \]

1

1

3

[_separable]

6.905

14159

\[ {}\frac {1}{2 \sqrt {t}}+y^{2} y^{\prime } = 0 \]

1

1

3

[_separable]

2.367

14160

\[ {}y^{\prime } = \frac {\sqrt {y}}{x^{2}} \]

1

1

1

[_separable]

2.974

14162

\[ {}6+4 t^{3}+\left (5+\frac {9}{y^{8}}\right ) y^{\prime } = 0 \]

1

1

1

[_separable]

1.216

14163

\[ {}\frac {6}{t^{9}}-\frac {6}{t^{3}}+t^{7}+\left (9+\frac {1}{s^{2}}-4 s^{8}\right ) s^{\prime } = 0 \]

1

1

1

[_separable]

1.842

14164

\[ {}4 \sinh \left (4 y\right ) y^{\prime } = 6 \cosh \left (3 x \right ) \]

1

1

1

[_separable]

7.496

14165

\[ {}y^{\prime } = \frac {y+1}{t +1} \]

1

1

1

[_separable]

1.514

14166

\[ {}y^{\prime } = \frac {y+2}{1+2 t} \]

1

1

1

[_separable]

2.882

14167

\[ {}\frac {3}{t^{2}} = \left (\frac {1}{\sqrt {y}}+\sqrt {y}\right ) y^{\prime } \]

1

1

1

[_separable]

1.525

14168

\[ {}3 \sin \left (x \right )-4 \cos \left (y\right ) y^{\prime } = 0 \]

1

1

1

[_separable]

1.569

14169

\[ {}\cos \left (y\right ) y^{\prime } = 8 \sin \left (8 t \right ) \]

1

1

1

[_separable]

2.514

14171

\[ {}\left (5 x^{5}-4 \cos \left (x\right )\right ) x^{\prime }+2 \cos \left (9 t \right )+2 \sin \left (7 t \right ) = 0 \]

1

1

1

[_separable]

38.446

14172

\[ {}\cosh \left (6 t \right )+5 \sinh \left (4 t \right )+20 \sinh \left (y\right ) y^{\prime } = 0 \]

1

1

1

[_separable]

10.86

14173

\[ {}y^{\prime } = {\mathrm e}^{2 y+10 t} \]

1

1

1

[_separable]

0.952

14174

\[ {}y^{\prime } = {\mathrm e}^{3 y+2 t} \]

1

1

1

[_separable]

0.931

14175

\[ {}\sin \left (t \right )^{2} = \cos \left (y\right )^{2} y^{\prime } \]

1

1

1

[_separable]

2.695

14176

\[ {}3 \sin \left (t \right )-\sin \left (3 t \right ) = \left (\cos \left (4 y\right )-4 \cos \left (y\right )\right ) y^{\prime } \]

1

1

1

[_separable]

36.885

14177

\[ {}x^{\prime } = \frac {\sec \left (t \right )^{2}}{\sec \left (x\right ) \tan \left (x\right )} \]

1

1

1

[_separable]

35.875

14178

\[ {}\left (2-\frac {5}{y^{2}}\right ) y^{\prime }+4 \cos \left (x \right )^{2} = 0 \]

1

1

2

[_separable]

3.216

14180

\[ {}\tan \left (y\right ) \sec \left (y\right )^{2} y^{\prime }+\cos \left (2 x \right )^{3} \sin \left (2 x \right ) = 0 \]

1

1

2

[_separable]

37.102

14181

\[ {}y^{\prime } = \frac {\left (1+2 \,{\mathrm e}^{y}\right ) {\mathrm e}^{-y}}{t \ln \left (t \right )} \]

1

1

1

[_separable]

3.635

14182

\[ {}x \sin \left (x^{2}\right ) = \frac {\cos \left (\sqrt {y}\right ) y^{\prime }}{\sqrt {y}} \]

1

1

1

[_separable]

37.088

14183

\[ {}\frac {-2+x}{x^{2}-4 x +3} = \frac {\left (1-\frac {1}{y}\right )^{2} y^{\prime }}{y^{2}} \]

1

1

3

[_separable]

10.648

14184

\[ {}\frac {\cos \left (y\right ) y^{\prime }}{\left (1-\sin \left (y\right )\right )^{2}} = \sin \left (x \right )^{3} \cos \left (x \right ) \]

1

1

1

[_separable]

37.259

14185

\[ {}y^{\prime } = \frac {\left (5-2 \cos \left (x \right )\right )^{3} \sin \left (x \right ) \cos \left (y\right )^{4}}{\sin \left (y\right )} \]

1

1

3

[_separable]

36.439

14186

\[ {}\frac {\sqrt {\ln \left (x \right )}}{x} = \frac {{\mathrm e}^{\frac {3}{y}} y^{\prime }}{y} \]

1

1

1

[_separable]

1.431

14187

\[ {}y^{\prime } = \frac {5^{-t}}{y^{2}} \]

1

1

3

[_separable]

50.23

14188

\[ {}y^{\prime } = t^{2} y^{2}+y^{2}-t^{2}-1 \]

1

1

1

[_separable]

1.637

14190

\[ {}4 \left (-1+x \right )^{2} y^{\prime }-3 \left (3+y\right )^{2} = 0 \]

1

1

1

[_separable]

1.885

14191

\[ {}y^{\prime } = \sin \left (t -y\right )+\sin \left (t +y\right ) \]

1

1

1

[_separable]

3.093

14202

\[ {}y^{\prime } = \frac {\sqrt {t}}{y} \]

i.c.

1

1

1

[_separable]

5.73

14204

\[ {}y^{\prime } = \frac {{\mathrm e}^{t}}{y+1} \]

i.c.

1

1

1

[_separable]

1.654

14205

\[ {}y^{\prime } = {\mathrm e}^{t -y} \]

i.c.

1

1

1

[_separable]

1.177

14209

\[ {}y^{\prime } = \frac {\sin \left (x \right )}{\cos \left (y\right )+1} \]

i.c.

1

1

1

[_separable]

2.88

14210

\[ {}y^{\prime } = \frac {3+y}{1+3 x} \]

i.c.

1

1

1

[_separable]

2.444

14211

\[ {}y^{\prime } = {\mathrm e}^{x -y} \]

i.c.

1

1

1

[_separable]

1.232

14212

\[ {}y^{\prime } = {\mathrm e}^{2 x -y} \]

i.c.

1

1

1

[_separable]

1.476

14213

\[ {}y^{\prime } = \frac {3 y+1}{x +3} \]

i.c.

1

1

1

[_separable]

2.701

14214

\[ {}y^{\prime } = y \cos \left (t \right ) \]

i.c.

1

1

1

[_separable]

1.632

14215

\[ {}y^{\prime } = y^{2} \cos \left (t \right ) \]

i.c.

1

1

1

[_separable]

1.333

14216

\[ {}y^{\prime } = \sqrt {y}\, \cos \left (t \right ) \]

i.c.

1

1

1

[_separable]

3.479

14217

\[ {}y^{\prime }+f \left (t \right ) y = 0 \]

i.c.

1

1

1

[_separable]

1.801

14218

\[ {}y^{\prime } = -\frac {y-2}{-2+x} \]

i.c.

1

1

1

[_separable]

2.186

14228

\[ {}y^{\prime } = f \left (t \right ) y \]

i.c.

1

1

1

[_separable]

1.638

14247

\[ {}y^{\prime }-x y = x \]

1

1

1

[_separable]

1.14

14251

\[ {}x^{\prime } = \frac {3 x t^{2}}{-t^{3}+1} \]

1

1

1

[_separable]

1.479

14257

\[ {}y^{\prime }+2 t y = 2 t \]

i.c.

1

1

1

[_separable]

2.138

14261

\[ {}\left (t^{2}+4\right ) y^{\prime }+2 t y = 2 t \]

i.c.

1

1

1

[_separable]

2.252

14289

\[ {}\frac {t}{\sqrt {t^{2}+y^{2}}}+\frac {y y^{\prime }}{\sqrt {t^{2}+y^{2}}} = 0 \]

1

1

2

[_separable]

2.712

14290

\[ {}y \cos \left (t y\right )+t \cos \left (t y\right ) y^{\prime } = 0 \]

1

1

2

[_separable]

1.697

14292

\[ {}3 t y^{2}+y^{3} y^{\prime } = 0 \]

1

1

3

[_separable]

1.883

14297

\[ {}{\mathrm e}^{t y}+\frac {t \,{\mathrm e}^{t y} y^{\prime }}{y} = 0 \]

1

1

1

[_separable]

1.963

14300

\[ {}y^{2}+2 t y y^{\prime } = 0 \]

1

1

3

[_separable]

1.162

14301

\[ {}\frac {3 t^{2}}{y}-\frac {t^{3} y^{\prime }}{y^{2}} = 0 \]

1

1

1

[_separable]

1.835

14306

\[ {}\sin \left (y\right )^{2}+t \sin \left (2 y\right ) y^{\prime } = 0 \]

1

1

2

[_separable]

6.826

14310

\[ {}-2 t y^{2} \sin \left (t^{2}\right )+2 y \cos \left (t^{2}\right ) y^{\prime } = 0 \]

1

1

3

[_separable]

3.513

14318

\[ {}2 t y^{2}+2 t^{2} y y^{\prime } = 0 \]

i.c.

1

1

1

[_separable]

1.845

14330

\[ {}t^{2} y+t^{3} y^{\prime } = 0 \]

1

1

1

[_separable]

1.45

14331

\[ {}y \left (2 \,{\mathrm e}^{t}+4 t \right )+3 \left ({\mathrm e}^{t}+t^{2}\right ) y^{\prime } = 0 \]

1

1

1

[_separable]

1.579

14351

\[ {}y^{\prime }-\frac {y}{t} = \frac {y^{2}}{t} \]

1

1

1

[_separable]

2.685

14355

\[ {}2 \ln \left (t \right )-\ln \left (4 y^{2}\right ) y^{\prime } = 0 \]

1

1

2

[_separable]

5.747

14357

\[ {}\frac {\sin \left (2 t \right )}{\cos \left (2 y\right )}+\frac {\ln \left (y\right ) y^{\prime }}{\ln \left (t \right )} = 0 \]

1

1

1

[_separable]

30.221

14358

\[ {}\sqrt {t^{2}+1}+y y^{\prime } = 0 \]

1

1

2

[_separable]

3.096

14388

\[ {}y^{\prime }-\frac {2 y}{x} = -x^{2} y \]

1

1

1

[_separable]

1.704

14402

\[ {}y^{\prime } = \frac {2 t^{5}}{5 y^{2}} \]

1

1

3

[_separable]

7.595

14403

\[ {}\cos \left (4 x \right )-8 y^{\prime } \sin \left (y\right ) = 0 \]

1

1

1

[_separable]

2.574

14404

\[ {}y^{\prime }-\frac {y}{t} = \frac {y^{2}}{t} \]

1

1

1

[_separable]

2.98

14405

\[ {}y^{\prime } = \frac {{\mathrm e}^{8 y}}{t} \]

1

1

1

[_separable]

1.113

14406

\[ {}y^{\prime } = \frac {{\mathrm e}^{5 t}}{y^{4}} \]

1

1

5

[_separable]

0.912

14407

\[ {}-\frac {1}{x^{5}}+\frac {1}{x^{3}} = \left (2 y^{4}-6 y^{9}\right ) y^{\prime } \]

1

1

10

[_separable]

1.445

14408

\[ {}y^{\prime } = \frac {y \,{\mathrm e}^{-2 t}}{\ln \left (y\right )} \]

1

1

2

[_separable]

1.911

14409

\[ {}y^{\prime } = \frac {\left (4-7 x \right ) \left (2 y-3\right )}{\left (-1+x \right ) \left (2 x -5\right )} \]

1

1

1

[_separable]

2.785

14422

\[ {}y^{\prime }+t y = t \]

1

1

1

[_separable]

1.487

14441

\[ {}y^{\prime } = t y^{3} \]

i.c.

1

0

1

[_separable]

1.024

14442

\[ {}y^{\prime } = \frac {t}{y^{3}} \]

i.c.

1

1

4

[_separable]

2.13

14443

\[ {}y^{\prime } = -\frac {y}{t -2} \]

i.c.

1

1

1

[_separable]

2.637

14934

\[ {}y^{\prime } = \frac {x}{y} \]

1

1

2

[_separable]

2.51

14946

\[ {}\left (-x^{2}+1\right ) y^{\prime }+x y = 2 x \]

1

1

1

[_separable]

3.665

14952

\[ {}y^{\prime } = x \left (y-1\right ) \]

1

1

1

[_separable]

1.275

14957

\[ {}y^{\prime } = \frac {y+1}{-1+x} \]

1

1

1

[_separable]

1.953

14962

\[ {}y^{\prime } = -\frac {y}{x} \]

1

1

1

[_separable]

1.709

14972

\[ {}\left (x^{2}+1\right ) y^{\prime }+1+y^{2} = 0 \]

1

1

1

[_separable]

1.477

14973

\[ {}1+y^{2}+x y y^{\prime } = 0 \]

1

1

2

[_separable]

3.681

14974

\[ {}y^{\prime } \sin \left (x \right )-y \cos \left (x \right ) = 0 \]

i.c.

1

1

1

[_separable]

3.12

14975

\[ {}1+y^{2} = x y^{\prime } \]

1

1

1

[_separable]

1.455

14976

\[ {}x \sqrt {1+y^{2}}+y y^{\prime } \sqrt {x^{2}+1} = 0 \]

1

1

1

[_separable]

2.202

14977

\[ {}x \sqrt {1-y^{2}}+y \sqrt {-x^{2}+1}\, y^{\prime } = 0 \]

i.c.

1

1

1

[_separable]

3.635

14979

\[ {}y \ln \left (y\right )+x y^{\prime } = 1 \]

i.c.

1

1

1

[_separable]

11.04

14980

\[ {}y^{\prime } = a^{x +y} \]

1

1

1

[_separable]

1.565

14981

\[ {}{\mathrm e}^{y} \left (x^{2}+1\right ) y^{\prime }-2 x \left (1+{\mathrm e}^{y}\right ) = 0 \]

1

1

1

[_separable]

2.532

14982

\[ {}2 x \sqrt {1-y^{2}} = \left (x^{2}+1\right ) y^{\prime } \]

1

1

1

[_separable]

2.034

14983

\[ {}{\mathrm e}^{x} \sin \left (y\right )^{3}+\left ({\mathrm e}^{2 x}+1\right ) \cos \left (y\right ) y^{\prime } = 0 \]

1

1

2

[_separable]

4.908

14984

\[ {}y^{2} \sin \left (x \right )+\cos \left (x \right )^{2} \ln \left (y\right ) y^{\prime } = 0 \]

1

1

1

[_separable]

4.586

14989

\[ {}a^{2}+y^{2}+2 x \sqrt {x a -x^{2}}\, y^{\prime } = 0 \]

i.c.

1

0

1

[_separable]

5.954

14990

\[ {}y^{\prime } = \frac {y}{x} \]

i.c.

1

1

1

[_separable]

1.441

14998

\[ {}x^{2} y^{\prime } \cos \left (y\right )+1 = 0 \]

i.c.

1

1

1

[_separable]

6.134

14999

\[ {}x^{2} y^{\prime }+\cos \left (2 y\right ) = 1 \]

i.c.

1

1

1

[_separable]

10.013

15000

\[ {}x^{3} y^{\prime }-\sin \left (y\right ) = 1 \]

i.c.

1

1

0

[_separable]

5.432

15001

\[ {}\left (x^{2}+1\right ) y^{\prime }-\frac {\cos \left (2 y\right )^{2}}{2} = 0 \]

i.c.

1

1

1

[_separable]

5.362

15003

\[ {}\left (1+x \right ) y^{\prime } = y-1 \]

1

1

1

[_separable]

2.071

15004

\[ {}y^{\prime } = 2 x \left (\pi +y\right ) \]

1

1

1

[_separable]

1.981

15005

\[ {}x^{2} y^{\prime }+\sin \left (2 y\right ) = 1 \]

i.c.

1

1

1

[_separable]

32.723

15035

\[ {}y^{\prime }+y \cos \left (x \right ) = \cos \left (x \right ) \]

i.c.

1

1

1

[_separable]

2.506

15049

\[ {}y^{\prime }+2 x y = 2 x y^{2} \]

1

1

1

[_separable]

3.732

15052

\[ {}y^{\prime }+3 x y = y \,{\mathrm e}^{x^{2}} \]

1

1

1

[_separable]

1.742

15057

\[ {}y^{\prime }-y \cos \left (x \right ) = y^{2} \cos \left (x \right ) \]

1

1

1

[_separable]

4.376

15070

\[ {}\frac {x y}{\sqrt {x^{2}+1}}+2 x y-\frac {y}{x}+\left (\sqrt {x^{2}+1}+x^{2}-\ln \left (x \right )\right ) y^{\prime } = 0 \]

1

1

1

[_separable]

37.151

15087

\[ {}{y^{\prime }}^{2}-2 y y^{\prime } = y^{2} \left ({\mathrm e}^{2 x}-1\right ) \]

2

2

3

[_separable]

1.556

15089

\[ {}{y^{\prime }}^{2} x^{2}+3 x y y^{\prime }+2 y^{2} = 0 \]

2

1

2

[_separable]

2.367

15150

\[ {}y^{\prime }+\cos \left (\frac {x}{2}+\frac {y}{2}\right ) = \cos \left (\frac {x}{2}-\frac {y}{2}\right ) \]

1

1

1

[_separable]

1.551

15151

\[ {}y^{\prime } \left (3 x^{2}-2 x \right )-y \left (6 x -2\right ) = 0 \]

1

1

1

[_separable]

0.583

15158

\[ {}\left (-1+x \right ) \left (y^{2}-y+1\right ) = \left (y-1\right ) \left (x^{2}+x +1\right ) y^{\prime } \]

1

1

1

[_separable]

2.444

15167

\[ {}\sin \left (\ln \left (x \right )\right )-\cos \left (\ln \left (y\right )\right ) y^{\prime } = 0 \]

1

1

1

[_separable]

59.475

15194

\[ {}x y = y^{\prime } \ln \left (\frac {y^{\prime }}{x}\right ) \]

0

2

2

[_separable]

1.428