ODE
\[ x^2+x y'(x)-y(x)=0 \] ODE Classification
[_linear]
Book solution method
Exact equation, integrating factor
Mathematica ✓
cpu = 0.1594 (sec), leaf count = 13
\[\{\{y(x)\to x (-x+c_1)\}\}\]
Maple ✓
cpu = 0.006 (sec), leaf count = 11
\[[y \left (x \right ) = \left (-x +\textit {\_C1} \right ) x]\] Mathematica raw input
DSolve[x^2 - y[x] + x*y'[x] == 0,y[x],x]
Mathematica raw output
{{y[x] -> x*(-x + C[1])}}
Maple raw input
dsolve(x*diff(y(x),x)+x^2-y(x) = 0, y(x))
Maple raw output
[y(x) = (-x+_C1)*x]