Internal problem ID [2544]
Book: Advanced Mathematica, Book2, Perkin and Perkin, 1992
Section: Chapter 11.3, page 316
Problem number: 2.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
Solve \begin {gather*} \boxed {y^{\prime }-6 x y^{2}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 13
dsolve(diff(y(x),x)=6*x*y(x)^2,y(x), singsol=all)
\[ y \relax (x ) = \frac {1}{-3 x^{2}+c_{1}} \]
✓ Solution by Mathematica
Time used: 0.118 (sec). Leaf size: 22
DSolve[y'[x]==6*x*y[x]^2,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to -\frac {1}{3 x^2+c_1} \\ y(x)\to 0 \\ \end{align*}