Internal problem ID [1062]
Book: Elementary differential equations with boundary value problems. William F. Trench.
Brooks/Cole 2001
Section: Chapter 2, First order equations. Exact equations. Integrating factors. Section 2.6 Page
91
Problem number: 2(a).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
Solve \begin {gather*} \boxed {-y^{2}+y^{\prime } x^{2}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.005 (sec). Leaf size: 13
dsolve(-y(x)^2+x^2*diff(y(x),x)=0,y(x), singsol=all)
\[ y \relax (x ) = \frac {x}{x c_{1}+1} \]
✓ Solution by Mathematica
Time used: 0.109 (sec). Leaf size: 21
DSolve[-y[x]^2+x^2*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {x}{1-c_1 x} \\ y(x)\to 0 \\ \end{align*}