Internal problem ID [15078]
Book: A book of problems in ordinary differential equations. M.L. KRASNOV, A.L. KISELYOV,
G.I. MARKARENKO. MIR, MOSCOW. 1983
Section: Section 7, Total differential equations. The integrating factor. Exercises page
61
Problem number: 190.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y-y^{\prime } x=-x^{2}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 9
dsolve(( x^2+y(x))-x*diff(y(x),x)=0,y(x), singsol=all)
\[ y \left (x \right ) = \left (x +c_{1} \right ) x \]
✓ Solution by Mathematica
Time used: 0.024 (sec). Leaf size: 11
DSolve[( x^2+y[x])-x*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to x (x+c_1) \]