Internal problem ID [2551]
Book: Advanced Mathematica, Book2, Perkin and Perkin, 1992
Section: Chapter 11.3, page 316
Problem number: 9.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
Solve \begin {gather*} \boxed {y^{\prime }-\frac {4 x y}{x^{2}+1}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.002 (sec). Leaf size: 13
dsolve(diff(y(x),x)=(4*x*y(x))/(x^2+1),y(x), singsol=all)
\[ y \relax (x ) = c_{1} \left (x^{2}+1\right )^{2} \]
✓ Solution by Mathematica
Time used: 0.029 (sec). Leaf size: 20
DSolve[y'[x]==(4*x*y[x])/(x^2+1),y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to c_1 \left (x^2+1\right )^2 \\ y(x)\to 0 \\ \end{align*}