ODE
\[ x^2+x y'(x)-y(x)=0 \] ODE Classification
[_linear]
Book solution method
Exact equation, integrating factor
Mathematica ✓
cpu = 0.00314319 (sec), leaf count = 13
\[\left \{\left \{y(x)\to x \left (c_1-x\right )\right \}\right \}\]
Maple ✓
cpu = 0.004 (sec), leaf count = 11
\[ \left \{ y \left ( x \right ) = \left ( -x+{\it \_C1} \right ) x \right \} \] 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),'implicit')
Maple raw output
y(x) = (-x+_C1)*x