Internal problem ID [1873]
Book: Differential Equations, Nelson, Folley, Coral, 3rd ed, 1964
Section: Exercis 5, page 21
Problem number: 4.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
Solve \begin {gather*} \boxed {y^{\prime } x +y=0} \end {gather*}
✓ Solution by Maple
Time used: 0.002 (sec). Leaf size: 9
dsolve(y(x)+x*diff(y(x),x)=0,y(x), singsol=all)
\[ y \relax (x ) = \frac {c_{1}}{x} \]
✓ Solution by Mathematica
Time used: 0.022 (sec). Leaf size: 16
DSolve[y[x]+x*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {c_1}{x} \\ y(x)\to 0 \\ \end{align*}