Internal problem ID [2552]
Book: Advanced Mathematica, Book2, Perkin and Perkin, 1992
Section: Chapter 11.3, page 316
Problem number: 10.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
Solve \begin {gather*} \boxed {y^{\prime }-\frac {2 y}{x^{2}-1}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.003 (sec). Leaf size: 18
dsolve(diff(y(x),x)=(2*y(x))/(x^2-1),y(x), singsol=all)
\[ y \relax (x ) = \frac {c_{1} \left (-x^{2}+1\right )}{\left (x +1\right )^{2}} \]
✓ Solution by Mathematica
Time used: 0.029 (sec). Leaf size: 22
DSolve[y'[x]==(2*y[x])/(x^2-1),y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to -\frac {c_1 (x-1)}{x+1} \\ y(x)\to 0 \\ \end{align*}