2.21.1.5 First order Quadrature ODE’s

Number of problems in this table is 871

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

Table 2.524: quadrature









#

ODE

A

B

C

CAS classification

Solved?

Verified?

time (sec)










1

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

i.c.

1

1

1

[_quadrature]

0.385










2

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

i.c.

1

1

1

[_quadrature]

0.29










3

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

i.c.

1

1

1

[_quadrature]

0.321










4

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

i.c.

1

1

1

[_quadrature]

0.26










5

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

i.c.

1

1

1

[_quadrature]

0.297










6

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

i.c.

1

1

1

[_quadrature]

0.384










7

\[ {}y^{\prime } = \frac {10}{x^{2}+1} \]

i.c.

1

1

1

[_quadrature]

0.341










8

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

i.c.

1

1

1

[_quadrature]

0.352










9

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

i.c.

1

1

1

[_quadrature]

0.445










10

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

i.c.

1

1

1

[_quadrature]

0.187










21

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

i.c.

1

1

1

[_quadrature]

0.436










22

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

i.c.

1

1

1

[_quadrature]

0.234










25

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

i.c.

1

1

1

[_quadrature]

0.426










48

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

i.c.

1

1

1

[_quadrature]

0.476










54

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

i.c.

1

1

1

[_quadrature]

0.481










96

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

1

1

2

[_quadrature]

0.12










99

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

1

2

2

[_quadrature]

1.649










415

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

i.c.

1

1

1

[_quadrature]

0.427










507

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

1

1

1

[_quadrature]

0.796










526

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

1

2

2

[_quadrature]

0.434










532

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

1

1

1

[_quadrature]

0.655










533

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

1

2

2

[_quadrature]

1.938










534

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

1

1

1

[_quadrature]

0.542










535

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

1

1

1

[_quadrature]

0.531










536

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

1

1

1

[_quadrature]

3.049










537

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

1

1

1

[_quadrature]

0.24










538

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

1

1

1

[_quadrature]

0.505










539

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

1

2

2

[_quadrature]

2.153










540

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

1

1

1

[_quadrature]

0.737










541

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

1

1

1

[_quadrature]

0.51










542

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

1

1

1

[_quadrature]

0.559










869

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

1

1

1

[_quadrature]

0.367










874

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

1

1

1

[_quadrature]

0.141










875

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

1

1

1

[_quadrature]

0.446










876

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

1

1

1

[_quadrature]

0.181










877

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

i.c.

1

1

1

[_quadrature]

0.408










878

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

i.c.

1

1

1

[_quadrature]

0.98










879

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

i.c.

1

1

1

[_quadrature]

0.562










884

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

1

1

1

[_quadrature]

0.303










885

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

i.c.

1

1

2

[_quadrature]

1.563










887

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

1

1

1

[_quadrature]

0.499










898

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

1

1

1

[_quadrature]

0.32










924

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

1

1

1

[_quadrature]

1.128










946

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

i.c.

1

1

1

[_quadrature]

1.058










953

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

i.c.

1

1

1

[_quadrature]

1.664










971

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

i.c.

1

1

1

[_quadrature]

0.974










1032

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

1

1

2

[_quadrature]

0.444










1034

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

1

1

4

[_quadrature]

0.16










1065

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

1

1

2

[_quadrature]

0.388










1142

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

1

1

1

[_quadrature]

0.494










1143

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

1

1

1

[_quadrature]

0.822










1144

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

1

1

1

[_quadrature]

0.805










1145

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

1

1

1

[_quadrature]

0.795










1146

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

1

1

1

[_quadrature]

0.922










1147

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

1

1

1

[_quadrature]

1.194










1148

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

1

1

1

[_quadrature]

0.355










1678

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

i.c.

1

1

1

[_quadrature]

2.215










1881

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

1

1

1

[_quadrature]

0.64










1894

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

i.c.

1

1

1

[_quadrature]

0.481










1895

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

i.c.

1

1

1

[_quadrature]

1.162










2087

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

1

1

1

[_quadrature]

0.385










2315

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

2

2

3

[_quadrature]

0.992










2318

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

2

2

2

[_quadrature]

1.979










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










2323

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

2

1

3

[_quadrature]

1.98










2326

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

2

2

3

[_quadrature]

2.722










2328

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

2

2

4

[_quadrature]

1.214










2334

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

2

2

2

[_quadrature]

0.917










2338

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

2

2

2

[_quadrature]

0.754










2432

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

1

1

1

[_quadrature]

0.062










2433

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

1

1

1

[_quadrature]

0.082










2434

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

1

1

1

[_quadrature]

0.306










2435

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

1

1

1

[_quadrature]

0.076










2436

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

1

1

1

[_quadrature]

0.091










2437

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

1

1

1

[_quadrature]

0.09










2443

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

2

1

2

[_quadrature]

0.22










2444

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

2

1

2

[_quadrature]

0.122










2445

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

1

1

1

[_quadrature]

0.096










2446

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

1

1

1

[_quadrature]

0.128










2447

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

1

1

1

[_quadrature]

0.073










2448

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

1

1

1

[_quadrature]

0.097










2449

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

1

1

1

[_quadrature]

0.154










2450

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

1

1

1

[_quadrature]

0.213










2451

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

1

1

1

[_quadrature]

0.089










2452

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

1

1

1

[_quadrature]

0.171










2453

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

1

1

1

[_quadrature]

0.242










2454

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

i.c.

1

1

1

[_quadrature]

0.346










2455

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

i.c.

1

1

1

[_quadrature]

0.267










2457

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

i.c.

1

1

1

[_quadrature]

0.204










2458

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

i.c.

1

1

1

[_quadrature]

0.236










2459

\[ {}y^{\prime } = 8 \,{\mathrm e}^{4 t}+t \]

i.c.

1

1

1

[_quadrature]

0.22










2462

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

1

1

1

[_quadrature]

0.25










2463

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

1

1

1

[_quadrature]

0.119










2464

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

1

1

1

[_quadrature]

0.121










2465

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

1

1

1

[_quadrature]

0.237










2466

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

1

1

1

[_quadrature]

0.12










2468

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

1

1

1

[_quadrature]

0.089










2476

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

i.c.

1

1

1

[_quadrature]

0.191










2477

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

i.c.

1

1

1

[_quadrature]

0.226










2572

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

1

1

1

[_quadrature]

0.135










2590

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

1

1

1

[_quadrature]

0.084










2611

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

1

1

1

[_quadrature]

0.143










2612

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

1

1

1

[_quadrature]

0.094










2615

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

i.c.

1

1

1

[_quadrature]

0.26










2998

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

2

2

2

[_quadrature]

1.148










3002

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

1

1

1

[_quadrature]

0.122










3003

\[ {}y^{\prime } = 1-x^{5}+\sqrt {x} \]

1

1

1

[_quadrature]

0.189










3010

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

1

1

1

[_quadrature]

0.247










3017

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

i.c.

1

1

1

[_quadrature]

0.474










3019

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

i.c.

1

1

1

[_quadrature]

0.277










3026

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

1

1

2

[_quadrature]

0.185










3057

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

1

1

1

[_quadrature]

0.3










3068

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

i.c.

1

1

1

[_quadrature]

0.683










3199

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

1

1

7

[_quadrature]

0.683










3224

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

2

2

2

[_quadrature]

0.622










3226

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

4

4

4

[_quadrature]

20.843










3264

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

1

1

1

[_quadrature]

0.254










3318

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

1

1

1

[_quadrature]

0.26










3323

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

1

1

1

[_quadrature]

0.44










3344

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

1

2

2

[_quadrature]

0.902










3345

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

1

1

1

[_quadrature]

0.193










3356

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

1

1

1

[_quadrature]

0.488










3357

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

1

1

1

[_quadrature]

1.852










3361

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

1

1

1

[_quadrature]

0.509










3362

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

1

1

1

[_quadrature]

0.464










3364

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

1

1

1

[_quadrature]

0.316










3369

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

1

1

1

[_quadrature]

0.411










3381

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

1

1

1

[_quadrature]

0.404










3385

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

1

1

1

[_quadrature]

0.765










3391

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

1

1

1

[_quadrature]

0.277










3398

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

1

1

1

[_quadrature]

0.331










3484

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

1

1

1

[_quadrature]

0.276










3651

\[ {}y^{\prime } \sqrt {X}+\sqrt {Y} = 0 \]

1

1

1

[_quadrature]

0.12










3652

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

1

1

1

[_quadrature]

0.105










3658

\[ {}y^{\prime } \sqrt {X} = 0 \]

1

1

1

[_quadrature]

0.059










3659

\[ {}y^{\prime } \sqrt {X}+\sqrt {Y} = 0 \]

1

1

1

[_quadrature]

0.099










3660

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

1

1

1

[_quadrature]

0.085










3663

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

1

1

1

[_quadrature]

0.128










3680

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

1

1

1

[_quadrature]

1.535










3683

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

1

1

1

[_quadrature]

0.248










3684

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

1

1

1

[_quadrature]

0.211










3773

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

1

2

2

[_quadrature]

0.319










3989

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

2

2

2

[_quadrature]

0.273










3990

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

2

2

2

[_quadrature]

0.28










3996

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

2

2

4

[_quadrature]

0.377










3997

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

2

2

4

[_quadrature]

0.512










3998

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

2

2

4

[_quadrature]

0.484










3999

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

2

1

2

[_quadrature]

0.398










4000

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

2

2

4

[_quadrature]

0.543










4002

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

2

2

3

[_quadrature]

0.499










4003

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

2

2

5

[_quadrature]

1.505










4004

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

2

2

2

[_quadrature]

0.709










4005

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

2

2

3

[_quadrature]

1.108










4012

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

2

2

2

[_quadrature]

0.255










4014

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

2

2

2

[_quadrature]

0.415










4015

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

2

1

2

[_quadrature]

0.228










4016

\[ {}{y^{\prime }}^{2}-7 y^{\prime }+12 = 0 \]

2

1

2

[_quadrature]

0.191










4017

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

2

2

2

[_quadrature]

0.222










4018

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

2

2

2

[_quadrature]

0.295










4019

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

2

2

3

[_quadrature]

0.654










4020

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

2

2

2

[_quadrature]

0.368










4029

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

2

2

2

[_quadrature]

0.351










4030

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

2

1

2

[_quadrature]

0.238










4034

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

2

2

2

[_quadrature]

0.326










4038

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

2

2

2

[_quadrature]

0.256










4042

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

2

1

2

[_quadrature]

0.228










4046

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

2

2

2

[_quadrature]

0.265










4047

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

2

1

2

[_quadrature]

0.347










4049

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

2

1

2

[_quadrature]

0.279










4051

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

2

2

2

[_quadrature]

142.175










4052

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

2

1

2

[_quadrature]

0.291










4053

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

2

2

5

[_quadrature]

1.342










4054

\[ {}{y^{\prime }}^{2}-2 \left (-3 y+1\right ) y^{\prime }-\left (4-9 y\right ) y = 0 \]

2

2

2

[_quadrature]

1.604










4055

\[ {}{y^{\prime }}^{2}+\left (a +6 y\right ) y^{\prime }+y \left (3 a +b +9 y\right ) = 0 \]

2

2

2

[_quadrature]

1.172










4058

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

2

1

2

[_quadrature]

0.336










4060

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

2

1

2

[_quadrature]

0.297










4061

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

2

2

4

[_quadrature]

0.833










4062

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

2

1

2

[_separable]

0.333










4073

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

2

2

3

[_quadrature]

0.972










4076

\[ {}4 {y^{\prime }}^{2} = 9 x \]

2

2

2

[_quadrature]

0.227










4082

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

2

2

2

[_quadrature]

0.234










4083

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

2

2

2

[_quadrature]

0.574










4091

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

2

1

2

[_quadrature]

0.241










4107

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

2

1

2

[_quadrature]

0.382










4110

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

2

1

2

[_quadrature]

0.249










4111

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

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










4120

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

2

2

2

[_quadrature]

0.289










4125

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

2

2

2

[_quadrature]

0.267










4127

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

2

1

2

[_quadrature]

0.255










4149

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

2

1

3

[_quadrature]

0.434










4152

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

2

2

2

[_quadrature]

0.341










4153

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

2

2

2

[_quadrature]

0.347










4154

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

2

2

2

[_quadrature]

0.466










4155

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

2

2

2

[_quadrature]

0.342










4162

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

2

2

2

[_quadrature]

0.247










4166

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

2

2

2

[_quadrature]

1.593










4170

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

2

2

2

[_quadrature]

0.56










4175

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

2

2

6

[_quadrature]

0.413










4183

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

2

2

3

[_quadrature]

0.442










4185

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

2

2

3

[_quadrature]

0.249










4186

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

2

2

3

[_quadrature]

0.379










4187

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

2

2

5

[_quadrature]

0.975










4192

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

2

2

3

[_quadrature]

1.126










4193

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

2

1

2

[_quadrature]

0.816










4194

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

2

2

3

[_quadrature]

0.343










4203

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

2

2

4

[_quadrature]

0.414










4204

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

2

2

4

[_quadrature]

0.568










4208

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

2

2

4

[_quadrature]

0.453










4214

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

2

2

2

[_quadrature]

0.752










4215

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

2

2

3

[_quadrature]

0.974










4228

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

2

2

7

[_quadrature]

0.474










4240

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

3

3

3

[_quadrature]

0.587










4241

\[ {}{y^{\prime }}^{3} = a \,x^{n} \]

3

3

3

[_quadrature]

0.45










4244

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

3

3

5

[_quadrature]

1.214










4247

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

3

3

3

[_quadrature]

0.565










4248

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

3

3

3

[_quadrature]

0.901










4249

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

3

3

3

[_quadrature]

1.155










4250

\[ {}{y^{\prime }}^{3}-7 y^{\prime }+6 = 0 \]

3

1

3

[_quadrature]

0.286










4254

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

3

3

3

[_quadrature]

1.445










4257

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

3

3

4

[_quadrature]

2.445










4262

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

3

3

4

[_quadrature]

1.296










4263

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

3

3

4

[_quadrature]

1.492










4266

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

3

3

3

[_quadrature]

1.897










4267

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

3

3

3

[_quadrature]

0.723










4268

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

3

3

4

[_quadrature]

1.787










4269

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

3

2

3

[_quadrature]

0.78










4270

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

3

1

3

[_quadrature]

0.313










4271

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

3

1

3

[_quadrature]

0.622










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










4275

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

3

3

4

[_quadrature]

1.233










4277

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

3

3

3

[_quadrature]

0.579










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










4286

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

3

1

3

[_quadrature]

0.54










4293

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

3

1

4

[_quadrature]

1.062










4301

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

4

4

6

[_quadrature]

4.075










4307

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

4

1

1

[_quadrature]

1.856










4308

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

4

1

4

[_quadrature]

0.622










4310

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

5

1

1

[_quadrature]

0.233










4311

\[ {}{y^{\prime }}^{6} = \left (y-a \right )^{4} \left (y-b \right )^{3} \]

6

6

8

[_quadrature]

91.425










4319

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

2

2

2

[_quadrature]

2.527










4320

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

2

2

2

[_quadrature]

2.367










4321

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

2

2

2

[_quadrature]

1.731










4328

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

0

1

1

[_quadrature]

0.26










4329

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

0

1

1

[_quadrature]

0.269










4330

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

0

1

2

[_quadrature]

1.821










4333

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

0

1

1

[_quadrature]

1.71










4334

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

0

1

1

[_quadrature]

0.203










4335

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

0

1

1

[_quadrature]

0.567










4352

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

2

2

4

[_quadrature]

0.811










4406

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

2

1

2

[_quadrature]

0.249










4407

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

2

1

2

[_quadrature]

0.291










4408

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

2

2

2

[_quadrature]

0.854










4410

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

2

2

3

[_quadrature]

2.165










4411

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

2

2

2

[_quadrature]

0.504










4412

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

2

2

2

[_quadrature]

2.484










4413

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

2

2

2

[_quadrature]

2.289










4414

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

2

2

2

[_quadrature]

1.679










4415

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

6

6

6

[_quadrature]

5.812










4416

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

2

2

2

[_quadrature]

0.461










4443

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

1

1

2

[_quadrature]

0.13










4496

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

1

1

1

[_quadrature]

0.48










4684

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

2

2

2

[_quadrature]

0.335










4692

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

1

1

1

[_quadrature]

0.294










4748

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

1

1

1

[_quadrature]

0.124










4913

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

1

1

1

[_quadrature]

0.418










4925

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

1

2

2

[_quadrature]

0.964










4938

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

i.c.

1

1

1

[_quadrature]

0.31










4942

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

1

1

1

[_quadrature]

0.207










4943

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

i.c.

1

1

1

[_quadrature]

0.249










4949

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

i.c.

1

1

1

[_quadrature]

0.556










4977

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

1

1

1

[_quadrature]

0.375










5075

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

1

1

1

[_quadrature]

0.173










5079

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

1

1

1

[_quadrature]

0.595










5275

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

1

1

1

[_quadrature]

0.491










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










5336

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

2

2

2

[_quadrature]

16.452










5342

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

2

2

7

[_quadrature]

0.476










5345

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

2

2

3

[_quadrature]

0.737










5771

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

i.c.

2

1

1

[_quadrature]

0.649










5847

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

2

1

2

[_quadrature]

1.069










5848

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

2

1

2

[_quadrature]

0.316










5876

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

2

2

4

[_quadrature]

0.984










5912

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

1

1

1

[_quadrature]

0.403










5920

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

1

1

1

[_quadrature]

0.319










5922

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

1

1

1

[_quadrature]

0.533










5923

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

1

1

1

[_quadrature]

0.277










5929

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

1

1

1

[_quadrature]

0.819










5941

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

i.c.

1

1

1

[_quadrature]

0.38










5942

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

i.c.

1

1

1

[_quadrature]

0.312










5943

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

i.c.

1

1

1

[_quadrature]

0.155










6068

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

i.c.

1

1

1

[_quadrature]

0.291










6069

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

i.c.

1

1

1

[_quadrature]

0.634










6070

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

i.c.

1

1

1

[_quadrature]

0.323










6105

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

1

1

1

[_quadrature]

0.141










6108

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

1

1

1

[_quadrature]

0.658










6118

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

1

1

1

[_quadrature]

0.329










6119

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

1

1

1

[_quadrature]

0.183










6120

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

1

1

1

[_quadrature]

0.168










6121

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

1

1

1

[_quadrature]

0.198










6122

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

1

1

1

[_quadrature]

0.191










6123

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

1

1

1

[_quadrature]

0.419










6124

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

1

1

1

[_quadrature]

0.128










6125

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

1

1

1

[_quadrature]

0.172










6126

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

1

1

1

[_quadrature]

0.266










6127

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

1

1

1

[_quadrature]

0.243










6128

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

1

1

1

[_quadrature]

0.362










6129

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

i.c.

1

1

1

[_quadrature]

0.275










6130

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

i.c.

1

1

1

[_quadrature]

0.489










6131

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

i.c.

1

1

1

[_quadrature]

0.3










6132

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

i.c.

1

1

1

[_quadrature]

0.385










6133

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

i.c.

1

1

1

[_quadrature]

0.425










6134

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

i.c.

1

1

1

[_quadrature]

0.49










6407

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

1

1

1

[_quadrature]

0.392










6409

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

1

1

1

[_quadrature]

0.366










6411

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

1

1

1

[_quadrature]

0.235










6413

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

1

1

1

[_quadrature]

0.205










6768

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

2

1

2

[_quadrature]

0.503










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










6773

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

2

1

2

[_quadrature]

0.282










6776

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

2

2

3

[_quadrature]

0.532










6778

\[ {}\left (4 x -y\right ) {y^{\prime }}^{2}+6 \left (x -y\right ) y^{\prime }+2 x -5 y = 0 \]

2

1

3

[_quadrature]

0.836










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










6785

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

2

2

3

[_quadrature]

0.403










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










6877

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

2

1

2

[_quadrature]

0.295










6885

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

2

1

2

[_quadrature]

0.806










7049

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

1

1

1

[_quadrature]

0.175










7050

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

1

1

1

[_quadrature]

0.108










7051

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

1

1

1

[_quadrature]

0.092










7052

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

1

1

1

[_quadrature]

0.103










7053

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

1

1

1

[_quadrature]

0.072










7054

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

1

1

1

[_quadrature]

0.217










7059

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

1

1

1

[_quadrature]

0.096










7062

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

i.c.

1

1

1

[_quadrature]

48.819










7068

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

1

1

2

[_quadrature]

0.107










7069

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

1

1

1

[_quadrature]

0.069










7070

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

1

1

1

[_quadrature]

0.071










7071

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

1

1

1

[_quadrature]

0.069










7072

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

1

1

1

[_quadrature]

0.068










7076

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

i.c.

1

1

1

[_quadrature]

0.278










7077

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

i.c.

1

1

1

[_quadrature]

1.123










7090

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

1

2

2

[_quadrature]

0.257










7121

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

1

1

1

[_quadrature]

1.17










7126

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

i.c.

1

1

1

[_quadrature]

0.315










7192

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

i.c.

1

1

1

[_quadrature]

1.661










7284

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

1

2

2

[_quadrature]

2.602










7308

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

2

2

2

[_quadrature]

11.224










7317

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

1

1

1

[_quadrature]

0.089










7318

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

1

1

1

[_quadrature]

0.133










7319

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

1

1

1

[_quadrature]

0.098










7320

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

1

1

1

[_quadrature]

0.114










7321

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

1

1

1

[_quadrature]

0.141










7325

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

1

1

1

[_quadrature]

0.216










7326

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

1

1

1

[_quadrature]

0.512










7328

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

1

1

1

[_quadrature]

0.091










7329

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

1

1

1

[_quadrature]

0.162










7330

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

1

1

1

[_quadrature]

0.151










7333

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

1

1

1

[_quadrature]

0.541










7334

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

1

1

1

[_quadrature]

0.664










7340

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

1

1

2

[_quadrature]

0.162










7341

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

1

1

2

[_quadrature]

0.173










7347

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

1

1

1

[_quadrature]

0.092










7348

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

1

1

1

[_quadrature]

0.092










7349

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

1

1

1

[_quadrature]

0.092










7350

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

1

1

1

[_quadrature]

0.095










7351

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

1

1

1

[_quadrature]

0.112










7352

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

1

1

1

[_quadrature]

0.095










7353

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

1

1

1

[_quadrature]

0.132










7354

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

1

1

1

[_quadrature]

0.256










7355

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

1

1

1

[_quadrature]

0.094










7356

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

1

1

2

[_quadrature]

0.135










7357

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

1

1

2

[_quadrature]

0.133










7358

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

1

1

2

[_quadrature]

0.186










7359

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

1

1

2

[_quadrature]

0.171










7360

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

1

1

1

[_quadrature]

0.097










7361

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

2

2

1

[_quadrature]

0.195










7362

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

2

2

2

[_quadrature]

0.258










7363

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

0

1

1

[_quadrature]

0.125










7364

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

0

1

1

[_quadrature]

0.122










7365

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

2

2

2

[_quadrature]

0.398










7489

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

i.c.

1

1

1

[_quadrature]

0.567










8338

\[ {}y^{\prime }-\frac {1}{\sqrt {\operatorname {a4} \,x^{4}+\operatorname {a3} \,x^{3}+\operatorname {a2} \,x^{2}+\operatorname {a1} x +\operatorname {a0}}} = 0 \]

1

1

1

[_quadrature]

2.644










8349

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

1

1

1

[_quadrature]

0.26










8354

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

1

1

1

[_quadrature]

0.45










8360

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

1

1

1

[_quadrature]

0.371










8363

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

1

1

1

[_quadrature]

0.909










8376

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

1

1

1

[_quadrature]

0.288










8394

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

1

1

1

[_quadrature]

1.085










8396

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

1

1

1

[_quadrature]

72.331










8413

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

1

1

1

[_quadrature]

0.566










8426

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

1

1

1

[_quadrature]

0.408










8545

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

1

1

1

[_quadrature]

0.638










8696

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

1

1

1

[_quadrature]

67.808










8705

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

2

2

4

[_quadrature]

1.372










8707

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

2

2

3

[_quadrature]

1.365










8708

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

2

2

4

[_quadrature]

17.666










8709

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

2

2

3

[_quadrature]

3.986










8710

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

2

2

2

[_quadrature]

0.912










8711

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

2

2

2

[_quadrature]

0.733










8712

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

2

2

3

[_quadrature]

2.322










8718

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

2

2

2

[_quadrature]

0.967










8725

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

2

2

5

[_quadrature]

3.441










8727

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

2

1

2

[_quadrature]

0.919










8731

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

2

1

2

[_separable]

0.816










8738

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

2

2

3

[_quadrature]

2.518










8769

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

1

1

1

[_quadrature]

0.181










8779

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

2

2

3

[_quadrature]

1.109










8781

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

2

2

2

[_quadrature]

0.809










8792

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

2

2

2

[_quadrature]

0.685










8796

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

2

2

2

[_quadrature]

0.422










8805

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

2

2

3

[_quadrature]

0.495










8812

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

2

2

3

[_quadrature]

6.11










8820

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

2

2

4

[_quadrature]

0.729










8826

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

2

2

3

[_quadrature]

1.174










8832

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

2

2

3

[_quadrature]

1.652










8848

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

2

2

3

[_quadrature]

11.155










8852

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

3

3

5

[_quadrature]

1.117










8854

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

3

3

3

[_quadrature]

0.805










8857

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

3

3

3

[_quadrature]

1.045










8858

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

3

3

4

[_quadrature]

2.474










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










8864

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

3

3

4

[_quadrature]

1.626










8866

\[ {}a {y^{\prime }}^{3}+b {y^{\prime }}^{2}+c y^{\prime }-y-d = 0 \]

3

3

3

[_quadrature]

65.237










8870

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

3

1

3

[_quadrature]

0.499










8873

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

3

2

3

[_quadrature]

0.508










8874

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

3

4

3

[_quadrature]

0.523










8879

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

4

4

6

[_quadrature]

3.864










8882

\[ {}{y^{\prime }}^{6}-\left (y-a \right )^{4} \left (y-b \right )^{3} = 0 \]

6

6

8

[_quadrature]

73.431










8883

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

6

6

6

[_quadrature]

3.214










8887

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

0

1

2

[_quadrature]

0.252










8900

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

0

1

1

[_quadrature]

0.199










8901

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

0

1

1

[_quadrature]

0.16










8902

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

0

1

2

[_quadrature]

0.272










8904

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

0

1

1

[_quadrature]

1.307










10324

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

1

1

1

[_quadrature]

0.192










10325

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

1

1

1

[_quadrature]

0.25










10649

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

1

1

1

[_quadrature]

0.431










11199

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

2

1

2

[_quadrature]

0.577










11201

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

2

2

4

[_quadrature]

0.601










11203

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

2

2

2

[_quadrature]

0.446










11204

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

3

1

3

[_quadrature]

0.855










11224

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

2

2

4

[_quadrature]

1.152










11238

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

2

1

2

[_quadrature]

0.37










11240

\[ {}4 {y^{\prime }}^{2} = 9 x \]

2

2

2

[_quadrature]

0.282










11241

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

2

2

3

[_quadrature]

0.886










11350

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

1

1

1

[_quadrature]

0.141










11352

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

1

1

1

[_quadrature]

0.162










11357

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

1

1

1

[_quadrature]

0.826










11359

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

i.c.

1

1

1

[_quadrature]

0.882










11360

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

i.c.

1

1

1

[_quadrature]

0.402










11362

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

1

1

1

[_quadrature]

0.18










11363

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

1

1

1

[_quadrature]

0.158










11364

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

1

1

1

[_quadrature]

0.291










11365

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

i.c.

1

1

1

[_quadrature]

0.479










11367

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

i.c.

1

1

1

[_quadrature]

0.613










11368

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

i.c.

1

1

1

[_quadrature]

0.347










11369

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

1

1

1

[_quadrature]

0.296










11370

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

1

2

2

[_quadrature]

0.48










11371

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

1

1

1

[_quadrature]

0.579










11372

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

1

1

1

[_quadrature]

0.431










11373

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

1

1

1

[_quadrature]

0.164










11374

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

1

1

1

[_quadrature]

0.803










11379

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

1

2

2

[_quadrature]

0.637










11381

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

i.c.

1

1

1

[_quadrature]

0.281










11385

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

i.c.

1

1

1

[_quadrature]

1.192










11421

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

1

1

1

[_quadrature]

0.44










11427

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

1

2

2

[_quadrature]

2.036










11583

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

2

2

2

[_quadrature]

0.732










11594

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

i.c.

1

1

1

[_quadrature]

0.543










11967

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

1

1

1

[_quadrature]

0.577










11968

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

1

1

1

[_quadrature]

0.266










11969

\[ {}u^{\prime } = 4 \ln \left (t \right ) t \]

1

1

1

[_quadrature]

0.192










11970

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

1

1

1

[_quadrature]

0.252










11971

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

1

1

1

[_quadrature]

0.674










11972

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

i.c.

1

1

1

[_quadrature]

0.694










11973

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

i.c.

1

1

1

[_quadrature]

0.395










11974

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

i.c.

1

1

1

[_quadrature]

0.806










11975

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

i.c.

1

1

1

[_quadrature]

0.411










11977

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

1

1

1

[_quadrature]

0.435










11978

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

1

1

1

[_quadrature]

1.095










11979

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

1

1

1

[_quadrature]

1.213










11980

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

1

1

1

[_quadrature]

2.863










11981

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

1

1

1

[_quadrature]

1.005










11985

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

1

1

1

[_quadrature]

0.176










11987

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

1

1

1

[_quadrature]

0.811










11990

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

1

1

1

[_quadrature]

0.863










11991

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

1

1

1

[_quadrature]

0.623










11992

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

i.c.

1

1

1

[_quadrature]

2.006










11993

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

i.c.

1

1

0

[_quadrature]

3.913










12012

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

1

1

1

[_quadrature]

0.488










12122

\[ {}{y^{\prime }}^{2} = 9 y^{4} \]

2

1

2

[_quadrature]

0.51










12124

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

2

2

2

[_quadrature]

1.323










12126

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

3

3

3

[_quadrature]

0.693










12128

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

4

1

2

[_quadrature]

1.596










12129

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

2

2

4

[_quadrature]

1.616










12136

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

3

2

3

[_quadrature]

0.772










12149

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

2

2

5

[_quadrature]

2.602










12229

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

1

2

2

[_quadrature]

0.259










12482

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

2

1

2

[_quadrature]

0.45










12578

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

1

2

2

[_quadrature]

0.3










12580

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

1

1

1

[_quadrature]

1.026










12582

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

1

1

1

[_quadrature]

0.214










12584

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

1

1

1

[_quadrature]

0.306










12585

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

1

1

1

[_quadrature]

0.274










12593

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

2

2

2

[_quadrature]

0.437










12595

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

2

1

2

[_quadrature]

0.417










12601

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

1

1

1

[_quadrature]

0.273










12614

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

1

1

1

[_quadrature]

0.184










12615

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

1

1

1

[_quadrature]

0.171










12616

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

1

1

1

[_quadrature]

0.281










12617

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

1

1

1

[_quadrature]

0.254










12618

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

1

1

1

[_quadrature]

0.426










12619

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

1

1

1

[_quadrature]

0.404










12628

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

1

1

1

[_quadrature]

0.211










12629

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

1

1

1

[_quadrature]

0.434










12631

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

1

2

2

[_quadrature]

0.69










12639

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

1

1

1

[_quadrature]

0.23










12640

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

1

1

1

[_quadrature]

0.705










12648

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

i.c.

1

1

1

[_quadrature]

0.545










12649

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

i.c.

1

1

1

[_quadrature]

0.487










12650

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

i.c.

1

1

1

[_quadrature]

0.597










12651

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

i.c.

1

1

1

[_quadrature]

0.977










12660

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

i.c.

1

1

1

[_quadrature]

0.296










12661

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

i.c.

1

1

1

[_quadrature]

0.382










12662

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

i.c.

1

1

1

[_quadrature]

0.422










12663

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

i.c.

1

1

1

[_quadrature]

0.49










12664

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

i.c.

1

1

1

[_quadrature]

0.378










12665

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

i.c.

1

1

1

[_quadrature]

0.293










12666

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

i.c.

1

1

1

[_quadrature]

0.386










12667

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

i.c.

1

1

1

[_quadrature]

0.332










12668

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

i.c.

1

1

1

[_quadrature]

0.403










12669

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

i.c.

1

1

1

[_quadrature]

0.325










12670

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

i.c.

1

1

1

[_quadrature]

0.435










12671

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

i.c.

1

1

1

[_quadrature]

0.327










12672

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

i.c.

1

1

1

[_quadrature]

0.336










12676

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

i.c.

1

1

1

[_quadrature]

0.783










12680

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

1

2

2

[_quadrature]

0.308










12685

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

i.c.

1

1

1

[_quadrature]

0.484










12698

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

i.c.

1

1

1

[_quadrature]

0.238










12705

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

i.c.

1

1

1

[_quadrature]

0.273










12706

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

i.c.

1

1

1

[_quadrature]

0.278










12707

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

i.c.

1

1

1

[_quadrature]

0.289










12708

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

i.c.

1

1

1

[_quadrature]

0.335










12709

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

i.c.

1

1

1

[_quadrature]

0.255










12710

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

i.c.

1

1

1

[_quadrature]

0.28










12724

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

i.c.

1

1

1

[_quadrature]

2.613










12725

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

i.c.

1

1

1

[_quadrature]

0.289










12726

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

i.c.

1

1

1

[_quadrature]

0.829










12772

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

i.c.

1

1

1

[_quadrature]

0.472










12867

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

1

1

1

[_quadrature]

0.259










12868

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

1

1

1

[_quadrature]

0.244










12869

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

1

1

1

[_quadrature]

0.154










12870

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

1

1

1

[_quadrature]

0.223










12875

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

1

2

2

[_quadrature]

0.36










12877

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

1

1

1

[_quadrature]

0.509










12882

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

1

1

1

[_quadrature]

0.503










12884

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

1

1

1

[_quadrature]

0.297










12887

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

i.c.

1

1

1

[_quadrature]

0.24










12889

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

i.c.

1

1

1

[_quadrature]

0.194










12891

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

i.c.

1

1

1

[_quadrature]

0.46










12894

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

i.c.

1

1

1

[_quadrature]

0.778










12896

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

i.c.

1

1

1

[_quadrature]

0.266










12898

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

i.c.

1

1

1

[_quadrature]

0.503










12899

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

1

1

1

[_quadrature]

0.134










12900

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

1

1

1

[_quadrature]

0.157










12901

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

1

1

1

[_quadrature]

0.267










12902

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

1

1

1

[_quadrature]

0.139










12903

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

1

1

1

[_quadrature]

0.771










12905

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

i.c.

1

1

1

[_quadrature]

0.785










12909

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

i.c.

1

1

1

[_quadrature]

1.45










12910

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

i.c.

1

1

1

[_quadrature]

1.099










12911

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

i.c.

1

1

1

[_quadrature]

0.278










12912

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

i.c.

1

1

1

[_quadrature]

0.711










12913

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

i.c.

1

1

1

[_quadrature]

0.726










12914

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

1

1

1

[_quadrature]

0.515










12915

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

1

1

1

[_quadrature]

0.265










12916

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

1

1

1

[_quadrature]

0.534










12917

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

1

1

1

[_quadrature]

0.132










12921

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

1

1

1

[_quadrature]

0.138










12922

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

1

1

1

[_quadrature]

0.468










12923

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

1

1

1

[_quadrature]

0.107










12924

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

1

1

1

[_quadrature]

0.388










12925

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

1

1

1

[_quadrature]

0.605










12926

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

1

1

1

[_quadrature]

0.497










12928

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

i.c.

1

1

1

[_quadrature]

0.263










12931

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

i.c.

1

1

1

[_quadrature]

0.774










12932

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

i.c.

1

1

1

[_quadrature]

0.837










12933

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

i.c.

1

1

1

[_quadrature]

0.522










12934

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

i.c.

1

1

1

[_quadrature]

0.847










12935

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

i.c.

1

1

1

[_quadrature]

0.63










12936

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

i.c.

1

1

1

[_quadrature]

1.622










12938

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

i.c.

1

1

1

[_quadrature]

0.447










12939

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

i.c.

1

1

1

[_quadrature]

0.405










12940

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

i.c.

1

1

1

[_quadrature]

2.905










12941

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

i.c.

1

1

1

[_quadrature]

2.234










12942

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

i.c.

1

1

1

[_quadrature]

1.247










12943

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

i.c.

1

1

1

[_quadrature]

3.785










12944

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

i.c.

1

1

1

[_quadrature]

2.087










12945

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

1

1

1

[_quadrature]

0.138










12946

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

i.c.

1

1

1

[_quadrature]

0.253










12948

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

i.c.

1

1

1

[_quadrature]

0.29










12950

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

i.c.

1

1

1

[_quadrature]

0.872










12951

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

i.c.

1

1

1

[_quadrature]

0.544










12952

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

i.c.

1

1

1

[_quadrature]

0.497










12953

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

i.c.

1

1

1

[_quadrature]

0.235










12954

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

i.c.

1

1

1

[_quadrature]

0.948










12955

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

i.c.

1

1

1

[_quadrature]

0.588










12956

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

i.c.

1

1

1

[_quadrature]

0.245










12957

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

i.c.

1

1

1

[_quadrature]

0.575










12958

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

i.c.

1

1

1

[_quadrature]

0.8










12959

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

i.c.

1

1

1

[_quadrature]

1.705










12960

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

i.c.

1

1

1

[_quadrature]

0.263










12961

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

i.c.

1

1

1

[_quadrature]

0.446










12962

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

1

1

1

[_quadrature]

0.551










12963

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

i.c.

1

1

1

[_quadrature]

0.211










12964

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

i.c.

1

1

1

[_quadrature]

0.852










12965

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

i.c.

1

1

1

[_quadrature]

0.832










12966

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

i.c.

1

1

1

[_quadrature]

0.873










12967

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

1

1

1

[_quadrature]

0.564










12968

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

1

2

2

[_quadrature]

0.368










12969

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

1

1

1

[_quadrature]

0.497










12970

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

1

1

1

[_quadrature]

0.539










12971

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

1

1

1

[_quadrature]

0.327










12972

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

1

1

1

[_quadrature]

0.29










12973

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

1

2

2

[_quadrature]

1.523










12974

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

1

1

1

[_quadrature]

1.748










12975

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

i.c.

1

1

1

[_quadrature]

0.923










12976

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

i.c.

1

1

1

[_quadrature]

0.293










12977

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

i.c.

1

1

1

[_quadrature]

0.586










12978

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

i.c.

1

1

1

[_quadrature]

0.653










12979

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

i.c.

1

1

1

[_quadrature]

0.615










12980

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

i.c.

1

1

1

[_quadrature]

0.49










12981

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

1

1

1

[_quadrature]

0.738










12982

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

1

1

1

[_quadrature]

0.533










12983

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

1

1

1

[_quadrature]

0.753










12984

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

1

1

1

[_quadrature]

0.621










12985

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

1

1

1

[_quadrature]

0.612










12986

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

1

1

1

[_quadrature]

0.345










12987

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

1

1

1

[_quadrature]

0.128










12988

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

1

1

1

[_quadrature]

0.306










13028

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

1

1

1

[_quadrature]

0.317










13029

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

1

1

1

[_quadrature]

0.157










13030

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

1

1

1

[_quadrature]

0.891










13032

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

1

1

1

[_quadrature]

0.287










13035

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

1

1

1

[_quadrature]

0.257










13041

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

1

1

1

[_quadrature]

0.214










13042

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

1

1

1

[_quadrature]

0.271










13052

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

i.c.

1

1

1

[_quadrature]

0.317










13054

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

i.c.

1

1

1

[_quadrature]

0.526










13059

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

i.c.

1

1

1

[_quadrature]

0.604










13242

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

1

1

1

[_quadrature]

0.297










13243

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

1

1

1

[_quadrature]

0.417










13245

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

1

1

1

[_quadrature]

0.474










13252

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

1

1

1

[_quadrature]

0.131










13253

\[ {}y^{\prime } = 20 \,{\mathrm e}^{-4 x} \]

1

1

1

[_quadrature]

0.154










13254

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

1

1

1

[_quadrature]

0.186










13255

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

1

1

1

[_quadrature]

0.21










13256

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

1

1

1

[_quadrature]

0.584










13257

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

1

1

1

[_quadrature]

0.343










13258

\[ {}x = \left (x^{2}-9\right ) y^{\prime } \]

1

1

1

[_quadrature]

0.208










13259

\[ {}1 = \left (x^{2}-9\right ) y^{\prime } \]

1

1

1

[_quadrature]

0.185










13260

\[ {}1 = x^{2}-9 y^{\prime } \]

1

1

1

[_quadrature]

0.128










13264

\[ {}y^{\prime } = 40 \,{\mathrm e}^{2 x} x \]

i.c.

1

1

1

[_quadrature]

0.306










13265

\[ {}\left (x +6\right )^{\frac {1}{3}} y^{\prime } = 1 \]

i.c.

1

1

1

[_quadrature]

0.466










13266

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

i.c.

1

1

1

[_quadrature]

0.348










13267

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

i.c.

1

1

1

[_quadrature]

0.448










13268

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

i.c.

1

1

1

[_quadrature]

0.556










13269

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

i.c.

1

1

1

[_quadrature]

0.315










13271

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

1

1

1

[_quadrature]

0.315










13272

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

i.c.

1

1

1

[_quadrature]

0.232










13273

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

i.c.

1

1

1

[_quadrature]

0.248










13274

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

1

1

1

[_quadrature]

0.194










13275

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

i.c.

1

1

1

[_quadrature]

0.332










13276

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

i.c.

1

1

1

[_quadrature]

0.327










13277

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

i.c.

1

1

1

[_quadrature]

0.33










13278

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

i.c.

1

1

1

[_quadrature]

0.303










13279

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

i.c.

1

1

1

[_quadrature]

0.431










13280

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

i.c.

1

1

1

[_quadrature]

0.294










13281

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

i.c.

1

1

1

[_quadrature]

0.341










13282

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

i.c.

1

1

1

[_quadrature]

0.474










13283

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

i.c.

1

1

1

[_quadrature]

0.56










13284

\[ {}y^{\prime } = \left \{\begin {array}{cc} 0 & x <0 \\ 1 & 0\le x \end {array}\right . \]

i.c.

1

1

1

[_quadrature]

0.516










13285

\[ {}y^{\prime } = \left \{\begin {array}{cc} 0 & x <1 \\ 1 & 1\le x \end {array}\right . \]

i.c.

1

1

1

[_quadrature]

0.596










13286

\[ {}y^{\prime } = \left \{\begin {array}{cc} 0 & x <1 \\ 1 & 1\le x <2 \\ 0 & 2\le x \end {array}\right . \]

i.c.

1

1

1

[_quadrature]

0.693










13289

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

1

1

1

[_quadrature]

3.319










13292

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

1

2

2

[_quadrature]

3.358










13295

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

1

1

1

[_quadrature]

0.35










13297

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

i.c.

1

1

1

[_quadrature]

0.325










13301

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

1

1

1

[_quadrature]

0.291










13302

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

1

1

1

[_quadrature]

0.28










13309

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

1

1

1

[_quadrature]

0.246










13319

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

1

1

1

[_quadrature]

0.276










13321

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

1

1

1

[_quadrature]

0.402










13323

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

1

1

1

[_quadrature]

0.574










13327

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

1

1

1

[_quadrature]

0.195










13332

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

1

1

1

[_quadrature]

0.171










13333

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

1

1

1

[_quadrature]

0.607










13338

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

1

1

1

[_quadrature]

0.2










13339

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

i.c.

1

1

1

[_quadrature]

0.477










13351

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

1

1

1

[_quadrature]

0.277










13352

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

1

1

1

[_quadrature]

0.123










13354

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

1

2

2

[_quadrature]

1.278










13356

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

1

1

1

[_quadrature]

0.285










13366

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

i.c.

1

1

1

[_quadrature]

0.473










13367

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

i.c.

1

1

1

[_quadrature]

0.214










13383

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

1

2

2

[_quadrature]

1.224










13426

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

1

1

1

[_quadrature]

0.18










13436

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

1

1

1

[_quadrature]

0.355










13437

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

1

1

1

[_quadrature]

0.19










13442

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

1

1

1

[_quadrature]

0.235










13450

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

1

1

1

[_quadrature]

0.144










13453

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

1

1

1

[_quadrature]

0.187










13463

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

1

1

1

[_quadrature]

0.357










14047

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

2

2

2

[_quadrature]

1.197










14051

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

1

1

1

[_quadrature]

0.236










14053

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

1

1

1

[_quadrature]

0.618










14070

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

1

1

1

[_quadrature]

0.47










14071

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

1

1

1

[_quadrature]

1.158










14072

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

1

1

1

[_quadrature]

0.473










14073

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

1

1

1

[_quadrature]

0.248










14074

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

1

1

1

[_quadrature]

0.255










14075

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

1

1

1

[_quadrature]

0.314










14076

\[ {}y^{\prime } = \frac {-2 x -10}{\left (2+x \right ) \left (x -4\right )} \]

1

1

1

[_quadrature]

0.416










14077

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

1

1

1

[_quadrature]

0.508










14078

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

1

1

1

[_quadrature]

0.862










14079

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

1

1

1

[_quadrature]

1.289










14080

\[ {}y^{\prime } = \frac {1}{x^{2}-16} \]

1

1

1

[_quadrature]

0.33










14081

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

1

1

1

[_quadrature]

1.217










14082

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

1

1

1

[_quadrature]

2.884










14083

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

i.c.

1

1

1

[_quadrature]

0.752










14091

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

i.c.

1

1

1

[_quadrature]

0.502










14092

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

i.c.

1

1

1

[_quadrature]

1.24










14093

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

i.c.

1

1

1

[_quadrature]

1.26










14094

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

i.c.

1

1

1

[_quadrature]

0.608










14101

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

i.c.

1

1

1

[_quadrature]

2.008










14115

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

1

1

1

[_quadrature]

0.276










14116

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

1

1

1

[_quadrature]

0.842










14117

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

1

1

1

[_quadrature]

0.423










14118

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

1

1

1

[_quadrature]

0.605










14122

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

i.c.

1

1

1

[_quadrature]

1.403










14123

\[ {}y^{\prime } = \frac {4 x -9}{3 \left (x -3\right )^{\frac {2}{3}}} \]

i.c.

1

1

1

[_quadrature]

1.024










14127

\[ {}y^{\prime } = y^{\frac {1}{5}} \]

i.c.

1

1

1

[_quadrature]

0.817










14131

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

i.c.

1

1

1

[_quadrature]

0.816










14135

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

i.c.

1

1

1

[_quadrature]

0.68










14136

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

i.c.

1

1

1

[_quadrature]

2.811










14137

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

i.c.

1

1

1

[_quadrature]

0.481










14138

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

i.c.

1

1

1

[_quadrature]

4.001










14139

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

i.c.

1

1

1

[_quadrature]

0.434










14140

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

i.c.

1

1

1

[_quadrature]

2.458










14141

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

i.c.

1

1

1

[_quadrature]

0.438










14142

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

i.c.

1

1

1

[_quadrature]

3.124










14143

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

i.c.

1

1

1

[_quadrature]

0.451










14154

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

i.c.

1

1

1

[_quadrature]

0.44










14157

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

i.c.

1

1

1

[_quadrature]

0.509










14161

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

1

2

2

[_quadrature]

0.663










14170

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

1

1

1

[_quadrature]

0.725










14189

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

1

1

1

[_quadrature]

0.855










14192

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

1

1

1

[_quadrature]

4.538










14193

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

1

1

1

[_quadrature]

4.643










14194

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

1

2

2

[_quadrature]

2.178










14195

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

1

1

1

[_quadrature]

0.717










14196

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

1

2

2

[_quadrature]

1.527










14197

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

1

2

2

[_quadrature]

0.966










14198

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

i.c.

1

1

1

[_quadrature]

0.317










14199

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

i.c.

1

1

1

[_quadrature]

0.51










14200

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

i.c.

1

1

1

[_quadrature]

0.472










14201

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

i.c.

1

1

1

[_quadrature]

0.655










14206

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

i.c.

1

1

1

[_quadrature]

0.535










14207

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

i.c.

1

1

1

[_quadrature]

0.757










14208

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

i.c.

1

1

1

[_quadrature]

0.374










14222

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

1

3

3

[_quadrature]

1.407










14223

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

1

1

1

[_quadrature]

0.467










14224

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

1

1

1

[_quadrature]

0.468










14225

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

1

1

1

[_quadrature]

0.835










14226

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

1

1

1

[_quadrature]

0.836










14227

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

1

1

1

[_quadrature]

0.947










14229

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

1

1

1

[_quadrature]

0.375










14298

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

1

1

1

[_quadrature]

0.203










14299

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

1

3

3

[_quadrature]

0.709










14340

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

1

1

3

[_quadrature]

0.211










14421

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

1

1

1

[_quadrature]

0.445










14935

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

1

1

1

[_quadrature]

0.855










14938

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

1

1

1

[_quadrature]

0.566










14941

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

1

1

1

[_quadrature]

0.836










14947

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

1

1

1

[_quadrature]

0.22










14951

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

1

1

1

[_quadrature]

0.333










14959

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

1

1

1

[_quadrature]

0.221










14963

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

1

1

1

[_quadrature]

0.204










14964

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

1

1

1

[_quadrature]

0.219










14965

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

1

1

1

[_quadrature]

0.227










14966

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

1

1

1

[_quadrature]

0.231










14978

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

1

1

1

[_quadrature]

0.302










14991

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

0

1

1

[_quadrature]

0.224










14992

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

0

1

1

[_quadrature]

0.209










14993

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

0

1

1

[_quadrature]

0.291










14994

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

0

1

1

[_quadrature]

0.603










14995

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

0

1

1

[_quadrature]

0.209










14996

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

0

1

1

[_quadrature]

0.238










14997

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

0

1

1

[_quadrature]

0.312










15002

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

1

1

1

[_quadrature]

0.597










15086

\[ {}4 {y^{\prime }}^{2}-9 x = 0 \]

2

2

2

[_quadrature]

0.444










15088

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

2

1

2

[_quadrature]

0.635










15090

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

2

1

2

[_quadrature]

1.46










15092

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

3

1

3

[_quadrature]

0.882










15095

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

0

2

2

[_quadrature]

2.111










15096

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

0

1

1

[_quadrature]

1.197










15097

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

0

1

1

[_quadrature]

5.153










15098

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

2

2

2

[_quadrature]

0.63










15099

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

0

2

2

[_quadrature]

3.011










15100

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

0

1

2

[_quadrature]

0.575










15101

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

0

2

2

[_quadrature]

0.648










15102

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

6

6

6

[_quadrature]

14.369










15103

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

2

1

1

[_quadrature]

3.309










15104

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

0

1

1

[_quadrature]

0.668










15105

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

0

1

2

[_quadrature]

0.714










15106

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

0

1

1

[_quadrature]

1.055










15122

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

2

2

2

[_quadrature]

0.335










15124

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

2

1

2

[_quadrature]

0.23










15125

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

1

1

1

[_quadrature]

0.427










15129

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

2

1

2

[_quadrature]

0.35










15132

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

2

2

4

[_quadrature]

0.394










15145

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

1

1

1

[_quadrature]

0.163










15179

\[ {}{y^{\prime }}^{4} = 1 \]

4

2

4

[_quadrature]

0.375