Internal problem ID [2613]
Book: Differential equations with applications and historial notes, George F. Simmons,
1971
Section: Chapter 2, End of chapter, page 61
Problem number: 12.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
Solve \begin {gather*} \boxed {x^{2}+y-y^{\prime } x=0} \end {gather*}
✓ Solution by Maple
Time used: 0.002 (sec). Leaf size: 9
dsolve((x^2+y(x))=x*diff(y(x),x),y(x), singsol=all)
\[ y \relax (x ) = \left (c_{1}+x \right ) x \]
✓ Solution by Mathematica
Time used: 0.026 (sec). Leaf size: 11
DSolve[(x^2+y[x])==x*y'[x],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to x (x+c_1) \\ \end{align*}