Internal problem ID [5297]
Book: Schaums Outline. Theory and problems of Differential Equations, 1st edition. Frank Ayres.
McGraw Hill 1952
Section: Chapter 5. Equations of first order and first degree (Exact equations). Supplemetary
problems. Page 33
Problem number: 27.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {y^{\prime } x -y=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 7
dsolve(-y(x)+x*diff(y(x),x)=0,y(x), singsol=all)
\[ y = c_{1} x \]
✓ Solution by Mathematica
Time used: 0.022 (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*}