Internal problem ID [1063]
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: 3.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
Solve \begin {gather*} \boxed {y-y^{\prime } x=0} \end {gather*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 7
dsolve(y(x)-x*diff(y(x),x)=0,y(x), singsol=all)
\[ y \relax (x ) = x c_{1} \]
✓ Solution by Mathematica
Time used: 0.024 (sec). Leaf size: 14
DSolve[y[x]-x*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to c_1 x \\ y(x)\to 0 \\ \end{align*}