Problems 14601 to 14700

Table 2.295: Main lookup table. Sorted sequentially by problem number.


#	ODE	CAS classiﬁcation	Solved?	time (sec)

14601	$y^{'} = e^{\frac{2}{y}}$ i.c.	[_quadrature]	✓	1.002

14602	$y^{'} = y^{2} - y^{3}$ i.c.	[_quadrature]	✓	15.019

14603	$y^{'} = 2 y^{3} + t^{2}$ i.c.	[_Abel]	✗	0.876

14604	$y^{'} = \sqrt{y}$ i.c.	[_quadrature]	✓	1.314

14605	$y^{'} = 2 - y$ i.c.	[_quadrature]	✓	1.013

14606	$θ^{'} = \frac{9}{10} - \frac{11 \cos (θ)}{10}$ i.c.	[_quadrature]	✓	148.679

14607	$y^{'} = y (- 1 + y) (y - 3)$ i.c.	[_quadrature]	✓	18.787

14608	$y^{'} = y (- 1 + y) (y - 3)$ i.c.	[_quadrature]	✓	2.677

14609	$y^{'} = y (- 1 + y) (y - 3)$ i.c.	[_quadrature]	✓	12.095

14610	$y^{'} = y (- 1 + y) (y - 3)$ i.c.	[_quadrature]	✓	5.427

14611	$y^{'} = - y^{2}$	[_quadrature]	✓	1.510

14612	$y^{'} = y^{3}$ i.c.	[_quadrature]	✓	1.876

14613	$y^{'} = \frac{1}{(1 + y) (t - 2)}$ i.c.	[_separable]	✓	1.576

14614	$y^{'} = \frac{1}{{(y + 2)}^{2}}$ i.c.	[_quadrature]	✓	0.968

14615	$y^{'} = \frac{t}{- 2 + y}$ i.c.	[_separable]	✓	2.669

14616	$y^{'} = 3 y (- 2 + y)$ i.c.	[_quadrature]	✓	1.713

14617	$y^{'} = 3 y (- 2 + y)$ i.c.	[_quadrature]	✓	2.010

14618	$y^{'} = 3 y (- 2 + y)$ i.c.	[_quadrature]	✓	1.964

14619	$y^{'} = 3 y (- 2 + y)$ i.c.	[_quadrature]	✓	1.256

14620	$y^{'} = y^{2} - 4 y - 12$ i.c.	[_quadrature]	✓	1.492

14621	$y^{'} = y^{2} - 4 y - 12$ i.c.	[_quadrature]	✓	1.450

14622	$y^{'} = y^{2} - 4 y - 12$ i.c.	[_quadrature]	✓	1.067

14623	$y^{'} = y^{2} - 4 y - 12$ i.c.	[_quadrature]	✓	1.350

14624	$y^{'} = \cos (y)$ i.c.	[_quadrature]	✓	1.762

14625	$y^{'} = \cos (y)$ i.c.	[_quadrature]	✓	31.366

14626	$y^{'} = \cos (y)$ i.c.	[_quadrature]	✓	2.052

14627	$y^{'} = \cos (y)$ i.c.	[_quadrature]	✓	1.872

14628	$w^{'} = w \cos (w)$	[_quadrature]	✓	2.741

14629	$w^{'} = w \cos (w)$ i.c.	[_quadrature]	✓	2.928

14630	$w^{'} = w \cos (w)$ i.c.	[_quadrature]	✓	3.216

14631	$w^{'} = w \cos (w)$ i.c.	[_quadrature]	✓	3.166

14632	$w^{'} = w \cos (w)$ i.c.	[_quadrature]	✓	3.302

14633	$w^{'} = (1 - w) \sin (w)$	[_quadrature]	✓	4.697

14634	$y^{'} = \frac{1}{- 2 + y}$	[_quadrature]	✓	0.894

14635	$v^{'} = - v^{2} - 2 v - 2$	[_quadrature]	✓	0.594

14636	$w^{'} = 3 w^{3} - 12 w^{2}$	[_quadrature]	✓	152.270

14637	$y^{'} = 1 + \cos (y)$	[_quadrature]	✓	1.243

14638	$y^{'} = \tan (y)$	[_quadrature]	✓	1.437

14639	$y^{'} = y \ln (\| y \|)$	[_quadrature]	✓	3.252

14640	$w^{'} = (w^{2} - 2) \arctan (w)$	[_quadrature]	✓	5.079

14641	$y^{'} = y^{2} - 4 y + 2$ i.c.	[_quadrature]	✓	1.881

14642	$y^{'} = y^{2} - 4 y + 2$ i.c.	[_quadrature]	✓	0.816

14643	$y^{'} = y^{2} - 4 y + 2$ i.c.	[_quadrature]	✓	1.798

14644	$y^{'} = y^{2} - 4 y + 2$ i.c.	[_quadrature]	✓	1.852

14645	$y^{'} = y^{2} - 4 y + 2$ i.c.	[_quadrature]	✓	1.826

14646	$y^{'} = y^{2} - 4 y + 2$ i.c.	[_quadrature]	✓	1.067

14647	$y^{'} = y \cos (\frac{π y}{2})$	[_quadrature]	✓	5.772

14648	$y^{'} = y - y^{2}$	[_quadrature]	✓	1.130

14649	$y^{'} = y \sin (\frac{π y}{2})$	[_quadrature]	✓	4.010

14650	$y^{'} = y^{3} - y^{2}$	[_quadrature]	✓	87.012

14651	$y^{'} = \cos (\frac{π y}{2})$	[_quadrature]	✓	4.947

14652	$y^{'} = y^{2} - y$	[_quadrature]	✓	0.972

14653	$y^{'} = y \sin (\frac{π y}{2})$	[_quadrature]	✓	4.253

14654	$y^{'} = y^{2} - y^{3}$	[_quadrature]	✓	86.758

14655	$y^{'} = - 4 y + 9 e^{- t}$	[[_linear, ‘class A‘]]	✓	1.189

14656	$y^{'} = - 4 y + 3 e^{- t}$	[[_linear, ‘class A‘]]	✓	1.254

14657	$y^{'} = - 3 y + 4 \cos (2 t)$	[[_linear, ‘class A‘]]	✓	1.512

14658	$y^{'} = 2 y + \sin (2 t)$	[[_linear, ‘class A‘]]	✓	1.503

14659	$y^{'} = 3 y - 4 e^{3 t}$	[[_linear, ‘class A‘]]	✓	1.074

14660	$y^{'} = \frac{y}{2} + 4 e^{\frac{t}{2}}$	[[_linear, ‘class A‘]]	✓	1.064

14661	$y^{'} + 2 y = e^{\frac{t}{3}}$ i.c.	[[_linear, ‘class A‘]]	✓	1.494

14662	$- 2 y + y^{'} = 3 e^{- 2 t}$ i.c.	[[_linear, ‘class A‘]]	✓	1.441

14663	$y + y^{'} = \cos (2 t)$ i.c.	[[_linear, ‘class A‘]]	✓	1.823

14664	$3 y + y^{'} = \cos (2 t)$ i.c.	[[_linear, ‘class A‘]]	✓	1.789

14665	$- 2 y + y^{'} = 7 e^{2 t}$ i.c.	[[_linear, ‘class A‘]]	✓	1.350

14666	$y^{'} + 2 y = 3 t^{2} + 2 t - 1$	[[_linear, ‘class A‘]]	✓	1.208

14667	$y^{'} + 2 y = t^{2} + 2 t + 1 + e^{4 t}$	[[_linear, ‘class A‘]]	✓	2.040

14668	$y + y^{'} = t^{3} + \sin (3 t)$	[[_linear, ‘class A‘]]	✓	1.889

14669	$y^{'} - 3 y = 2 t - e^{4 t}$	[[_linear, ‘class A‘]]	✓	1.320

14670	$y + y^{'} = \cos (2 t) + 3 \sin (2 t) + e^{- t}$	[[_linear, ‘class A‘]]	✓	2.297

14671	$y^{'} = - \frac{y}{t} + 2$	[_linear]	✓	2.340

14672	$y^{'} = \frac{3 y}{t} + t^{5}$	[_linear]	✓	1.353

14673	$y^{'} = - \frac{y}{1 + t} + t^{2}$	[_linear]	✓	1.565

14674	$y^{'} = - 2 t y + 4 e^{- t^{2}}$	[_linear]	✓	1.538

14675	$y^{'} - \frac{2 t y}{t^{2} + 1} = 3$	[_linear]	✓	1.502

14676	$y^{'} - \frac{2 y}{t} = t^{3} e^{t}$	[_linear]	✓	1.468

14677	$y^{'} = - \frac{y}{1 + t} + 2$ i.c.	[_linear]	✓	1.824

14678	$y^{'} = \frac{y}{1 + t} + 4 t^{2} + 4 t$ i.c.	[_linear]	✓	1.286

14679	$y^{'} = - \frac{y}{t} + 2$ i.c.	[_linear]	✓	2.550

14680	$y^{'} = - 2 t y + 4 e^{- t^{2}}$ i.c.	[_linear]	✓	1.800

14681	$y^{'} - \frac{2 y}{t} = 2 t^{2}$ i.c.	[_linear]	✓	1.625

14682	$y^{'} - \frac{3 y}{t} = 2 t^{3} e^{2 t}$ i.c.	[_linear]	✓	2.477

14683	$y^{'} = \sin (t) y + 4$	[_linear]	✓	1.744

14684	$y^{'} = t^{2} y + 4$	[_linear]	✓	1.522

14685	$y^{'} = \frac{y}{t^{2}} + 4 \cos (t)$	[_linear]	✓	2.088

14686	$y^{'} = y + 4 \cos (t^{2})$	[[_linear, ‘class A‘]]	✓	1.847

14687	$y^{'} = - e^{- t^{2}} y + \cos (t)$	[_linear]	✓	2.733

14688	$y^{'} = \frac{y}{\sqrt{t^{3} - 3}} + t$	[_linear]	✓	25.598

14689	$y^{'} = a t y + 4 e^{- t^{2}}$	[_linear]	✓	1.427

14690	$y^{'} = t^{r} y + 4$	[_linear]	✓	1.579

14691	$v^{'} + \frac{2 v}{5} = 3 \cos (2 t)$	[[_linear, ‘class A‘]]	✓	1.694

14692	$y^{'} = - 2 t y + 4 e^{- t^{2}}$	[_linear]	✓	1.482

14693	$y^{'} + 2 y = 3 e^{- 2 t}$	[[_linear, ‘class A‘]]	✓	1.078

14694	$y^{'} = 3 y$	[_quadrature]	✓	0.838

14695	$y^{'} = t^{2} (t^{2} + 1)$	[_quadrature]	✓	0.366

14696	$y^{'} = - \sin {(y)}^{5}$	[_quadrature]	✓	15.153

14697	$y^{'} = \frac{(t^{2} - 4) (1 + y) e^{y}}{(t - 1) (3 - y)}$	[_separable]	✓	2.748

14698	$y^{'} = \sin {(y)}^{2}$	[_quadrature]	✓	1.997

14699	$y^{'} = (y - 3) (\sin (y) \sin (t) + \cos (t) + 1)$ i.c.	[‘x=_G(y,y’)‘]	✗	11.873

14700	$y^{'} = y + e^{- t}$	[[_linear, ‘class A‘]]	✓	1.156

2.2.147 Problems 14601 to 14700