Internal problem ID [1930]
Book: Elementary Differential Equations, Martin, Reissner, 2nd ed, 1961
Section: Exercis 2, page 5
Problem number: 3(b).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
Solve \begin {gather*} \boxed {y^{\prime }-x^{2} y^{2}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 17
dsolve(diff(y(x),x)=y(x)^2*x^2,y(x), singsol=all)
\[ y \relax (x ) = \frac {3}{-x^{3}+3 c_{1}} \]
✓ Solution by Mathematica
Time used: 0.105 (sec). Leaf size: 22
DSolve[y'[x]==y[x]^2*x^2,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to -\frac {3}{x^3+3 c_1} \\ y(x)\to 0 \\ \end{align*}