Internal problem ID [12440]
Book: DIFFERENTIAL and INTEGRAL CALCULUS. VOL I. by N. PISKUNOV. MIR
PUBLISHERS, Moscow 1969.
Section: Chapter 8. Differential equations. Exercises page 595
Problem number: 40.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y^{\prime } x +y=-x} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 13
dsolve((x+y(x))+x*diff(y(x),x)=0,y(x), singsol=all)
\[ y \left (x \right ) = -\frac {x}{2}+\frac {c_{1}}{x} \]
✓ Solution by Mathematica
Time used: 0.038 (sec). Leaf size: 17
DSolve[(x+y[x])+x*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to -\frac {x}{2}+\frac {c_1}{x} \]