ﬁrst order ode abel second kind canonical table 5 lookup

Table 2.1193: ﬁrst order ode abel second kind canonical table 5 lookup [6]


#	ODE	CAS classiﬁcation	Solved	Maple	Mma	Sympy	time(sec)

13497	\begin{align} y y^{\prime }-y&=A x +B \\ \end{align}	[[_homogeneous, ‘class C‘], _rational, [_Abel, ‘2nd type‘, ‘class A‘]]	✓	✓	✓	✗	53.872

13511	\begin{align} y y^{\prime }-y&=2 x +\frac {A}{x^{2}} \\ \end{align}	[_rational, [_Abel, ‘2nd type‘, ‘class B‘]]	✓	✓	✓	✗	18.500

13523	\begin{align} y y^{\prime }-y&=\frac {A}{x^{2}} \\ \end{align}	[_rational, [_Abel, ‘2nd type‘, ‘class B‘]]	✓	✓	✓	✗	13.706

13535	\begin{align} y y^{\prime }-y&=12 x +\frac {A}{x^{{5}/{2}}} \\ \end{align}	[_rational, [_Abel, ‘2nd type‘, ‘class B‘]]	✓	✓	✗	✗	45.901

13541	\begin{align} y y^{\prime }-y&=6 x +\frac {A}{x^{4}} \\ \end{align}	[_rational, [_Abel, ‘2nd type‘, ‘class B‘]]	✓	✓	✓	✗	26.465

13543	\begin{align} y y^{\prime }-y&=\frac {15 x}{4}+\frac {A}{x^{7}} \\ \end{align}	[_rational, [_Abel, ‘2nd type‘, ‘class B‘]]	✓	✗	✗	✗	42.186