Problems 14601 to 14700

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


#	ODE	CAS classiﬁcation	Solved?	time (sec)

14601	$y^{'} = y (y - 1) (y - 3)$ i.c.	[_quadrature]	✓	31.294

14602	$y^{'} = y (y - 1) (y - 3)$ i.c.	[_quadrature]	✓	31.773

14603	$y^{'} = - y^{2}$	[_quadrature]	✓	2.079

14604	$y^{'} = y^{3}$ i.c.	[_quadrature]	✓	4.167

14605	$y^{'} = \frac{1}{(y + 1) (t - 2)}$ i.c.	[_separable]	✓	2.496

14606	$y^{'} = \frac{1}{{(y + 2)}^{2}}$ i.c.	[_quadrature]	✓	2.401

14607	$y^{'} = \frac{t}{y - 2}$ i.c.	[_separable]	✓	3.322

14608	$y^{'} = 3 y (y - 2)$ i.c.	[_quadrature]	✓	3.178

14609	$y^{'} = 3 y (y - 2)$ i.c.	[_quadrature]	✓	3.450

14610	$y^{'} = 3 y (y - 2)$ i.c.	[_quadrature]	✓	3.589

14611	$y^{'} = 3 y (y - 2)$ i.c.	[_quadrature]	✓	1.939

14612	$y^{'} = y^{2} - 4 y - 12$ i.c.	[_quadrature]	✓	2.539

14613	$y^{'} = y^{2} - 4 y - 12$ i.c.	[_quadrature]	✓	2.568

14614	$y^{'} = y^{2} - 4 y - 12$ i.c.	[_quadrature]	✓	1.696

14615	$y^{'} = y^{2} - 4 y - 12$ i.c.	[_quadrature]	✓	2.550

14616	$y^{'} = \cos (y)$ i.c.	[_quadrature]	✓	2.779

14617	$y^{'} = \cos (y)$ i.c.	[_quadrature]	✓	57.017

14618	$y^{'} = \cos (y)$ i.c.	[_quadrature]	✓	2.629

14619	$y^{'} = \cos (y)$ i.c.	[_quadrature]	✓	2.870

14620	$w^{'} = w \cos (w)$	[_quadrature]	✓	2.671

14621	$w^{'} = w \cos (w)$ i.c.	[_quadrature]	✓	2.607

14622	$w^{'} = w \cos (w)$ i.c.	[_quadrature]	✓	2.735

14623	$w^{'} = w \cos (w)$ i.c.	[_quadrature]	✓	2.802

14624	$w^{'} = w \cos (w)$ i.c.	[_quadrature]	✓	2.751

14625	$w^{'} = (1 - w) \sin (w)$	[_quadrature]	✓	6.024

14626	$y^{'} = \frac{1}{y - 2}$	[_quadrature]	✓	1.908

14627	$v^{'} = - v^{2} - 2 v - 2$	[_quadrature]	✓	1.377

14628	$w^{'} = 3 w^{3} - 12 w^{2}$	[_quadrature]	✓	13.206

14629	$y^{'} = 1 + \cos (y)$	[_quadrature]	✓	2.076

14630	$y^{'} = \tan (y)$	[_quadrature]	✓	1.841

14631	$y^{'} = y \ln (\| y \|)$	[_quadrature]	✓	2.903

14632	$w^{'} = (w^{2} - 2) \arctan (w)$	[_quadrature]	✓	5.000

14633	$y^{'} = y^{2} - 4 y + 2$ i.c.	[_quadrature]	✓	1.864

14634	$y^{'} = y^{2} - 4 y + 2$ i.c.	[_quadrature]	✓	1.625

14635	$y^{'} = y^{2} - 4 y + 2$ i.c.	[_quadrature]	✓	1.886

14636	$y^{'} = y^{2} - 4 y + 2$ i.c.	[_quadrature]	✓	1.804

14637	$y^{'} = y^{2} - 4 y + 2$ i.c.	[_quadrature]	✓	1.825

14638	$y^{'} = y^{2} - 4 y + 2$ i.c.	[_quadrature]	✓	1.869

14639	$y^{'} = y \cos (\frac{π y}{2})$	[_quadrature]	✓	4.138

14640	$y^{'} = y - y^{2}$	[_quadrature]	✓	2.282

14641	$y^{'} = y \sin (\frac{π y}{2})$	[_quadrature]	✓	3.800

14642	$y^{'} = y^{3} - y^{2}$	[_quadrature]	✓	19.285

14643	$y^{'} = \cos (\frac{π y}{2})$	[_quadrature]	✓	4.479

14644	$y^{'} = y^{2} - y$	[_quadrature]	✓	2.018

14645	$y^{'} = y \sin (\frac{π y}{2})$	[_quadrature]	✓	3.800

14646	$y^{'} = y^{2} - y^{3}$	[_quadrature]	✓	18.354

14647	$y^{'} = - 4 y + 9 e^{- t}$	[[_linear, ‘class A‘]]	✓	1.434

14648	$y^{'} = - 4 y + 3 e^{- t}$	[[_linear, ‘class A‘]]	✓	1.413

14649	$y^{'} = - 3 y + 4 \cos (2 t)$	[[_linear, ‘class A‘]]	✓	1.639

14650	$y^{'} = 2 y + \sin (2 t)$	[[_linear, ‘class A‘]]	✓	1.621

14651	$y^{'} = 3 y - 4 e^{3 t}$	[[_linear, ‘class A‘]]	✓	1.333

14652	$y^{'} = \frac{y}{2} + 4 e^{\frac{t}{2}}$	[[_linear, ‘class A‘]]	✓	1.345

14653	$y^{'} + 2 y = e^{\frac{t}{3}}$ i.c.	[[_linear, ‘class A‘]]	✓	1.816

14654	$y^{'} - 2 y = 3 e^{- 2 t}$ i.c.	[[_linear, ‘class A‘]]	✓	1.842

14655	$y^{'} + y = \cos (2 t)$ i.c.	[[_linear, ‘class A‘]]	✓	1.900

14656	$y^{'} + 3 y = \cos (2 t)$ i.c.	[[_linear, ‘class A‘]]	✓	2.004

14657	$y^{'} - 2 y = 7 e^{2 t}$ i.c.	[[_linear, ‘class A‘]]	✓	1.680

14658	$y^{'} + 2 y = 3 t^{2} + 2 t - 1$	[[_linear, ‘class A‘]]	✓	1.408

14659	$y^{'} + 2 y = t^{2} + 2 t + 1 + e^{4 t}$	[[_linear, ‘class A‘]]	✓	2.202

14660	$y^{'} + y = t^{3} + \sin (3 t)$	[[_linear, ‘class A‘]]	✓	2.004

14661	$y^{'} - 3 y = 2 t - e^{4 t}$	[[_linear, ‘class A‘]]	✓	1.494

14662	$y^{'} + y = \cos (2 t) + 3 \sin (2 t) + e^{- t}$	[[_linear, ‘class A‘]]	✓	2.248

14663	$y^{'} = - \frac{y}{t} + 2$	[_linear]	✓	2.881

14664	$y^{'} = \frac{3 y}{t} + t^{5}$	[_linear]	✓	1.665

14665	$y^{'} = - \frac{y}{t + 1} + t^{2}$	[_linear]	✓	1.831

14666	$y^{'} = - 2 t y + 4 e^{- t^{2}}$	[_linear]	✓	1.767

14667	$y^{'} - \frac{2 t y}{t^{2} + 1} = 3$	[_linear]	✓	1.882

14668	$y^{'} - \frac{2 y}{t} = t^{3} e^{t}$	[_linear]	✓	1.733

14669	$y^{'} = - \frac{y}{t + 1} + 2$ i.c.	[_linear]	✓	2.171

14670	$y^{'} = \frac{y}{t + 1} + 4 t^{2} + 4 t$ i.c.	[_linear]	✓	1.586

14671	$y^{'} = - \frac{y}{t} + 2$ i.c.	[_linear]	✓	3.175

14672	$y^{'} = - 2 t y + 4 e^{- t^{2}}$ i.c.	[_linear]	✓	2.122

14673	$y^{'} - \frac{2 y}{t} = 2 t^{2}$ i.c.	[_linear]	✓	2.033

14674	$y^{'} - \frac{3 y}{t} = 2 t^{3} e^{2 t}$ i.c.	[_linear]	✓	2.801

14675	$y^{'} = \sin (t) y + 4$	[_linear]	✓	1.689

14676	$y^{'} = t^{2} y + 4$	[_linear]	✓	1.564

14677	$y^{'} = \frac{y}{t^{2}} + 4 \cos (t)$	[_linear]	✓	1.995

14678	$y^{'} = y + 4 \cos (t^{2})$	[[_linear, ‘class A‘]]	✓	1.836

14679	$y^{'} = - y e^{- t^{2}} + \cos (t)$	[_linear]	✓	2.630

14680	$y^{'} = \frac{y}{\sqrt{t^{3} - 3}} + t$	[_linear]	✓	24.628

14681	$y^{'} = a t y + 4 e^{- t^{2}}$	[_linear]	✓	1.385

14682	$y^{'} = t^{r} y + 4$	[_linear]	✓	1.322

14683	$v^{'} + \frac{2 v}{5} = 3 \cos (2 t)$	[[_linear, ‘class A‘]]	✓	1.803

14684	$y^{'} = - 2 t y + 4 e^{- t^{2}}$	[_linear]	✓	1.749

14685	$y^{'} + 2 y = 3 e^{- 2 t}$	[[_linear, ‘class A‘]]	✓	1.340

14686	$y^{'} = 3 y$	[_quadrature]	✓	1.700

14687	$y^{'} = t^{2} (t^{2} + 1)$	[_quadrature]	✓	0.494

14688	$y^{'} = - \sin {(y)}^{5}$	[_quadrature]	✓	16.624

14689	$y^{'} = \frac{(t^{2} - 4) (y + 1) e^{y}}{(t - 1) (3 - y)}$	[_separable]	✓	2.803

14690	$y^{'} = \sin {(y)}^{2}$	[_quadrature]	✓	2.527

14691	$y^{'} = (y - 3) (\sin (y) \sin (t) + \cos (t) + 1)$ i.c.	[‘x=_G(y,y’)‘]	✗	12.592

14692	$y^{'} = y + e^{- t}$	[[_linear, ‘class A‘]]	✓	1.400

14693	$y^{'} = 3 - 2 y$	[_quadrature]	✓	1.711

14694	$y^{'} = t y$	[_separable]	✓	1.732

14695	$y^{'} = 3 y + e^{7 t}$	[[_linear, ‘class A‘]]	✓	1.466

14696	$y^{'} = \frac{t y}{t^{2} + 1}$	[_separable]	✓	1.743

14697	$y^{'} = - 5 y + \sin (3 t)$	[[_linear, ‘class A‘]]	✓	1.667

14698	$y^{'} = t + \frac{2 y}{t + 1}$	[_linear]	✓	1.333

14699	$y^{'} = 3 + y^{2}$	[_quadrature]	✓	3.602

14700	$y^{'} = 2 y - y^{2}$	[_quadrature]	✓	2.395

2.2.147 Problems 14601 to 14700