Internal problem ID [1900]
Book: Differential Equations, Nelson, Folley, Coral, 3rd ed, 1964
Section: Exercis 6, page 25
Problem number: 1.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {x +y-y^{\prime } x=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 10
dsolve(x+y(x)=x*diff(y(x),x),y(x), singsol=all)
\[ y \left (x \right ) = \left (\ln \left (x \right )+c_{1} \right ) x \]
✓ Solution by Mathematica
Time used: 0.022 (sec). Leaf size: 12
DSolve[x+y[x]==x*y'[x],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to x (\log (x)+c_1) \\ \end{align*}