\[ -a x^2+x^2 y''(x)+x y'(x)-y(x)=0 \] ✓ Mathematica : cpu = 0.0059742 (sec), leaf count = 24
DSolve[-(a*x^2) - y[x] + x*Derivative[1][y][x] + x^2*Derivative[2][y][x] == 0,y[x],x]
\[\left \{\left \{y(x)\to \frac {a x^2}{3}+c_2 x+\frac {c_1}{x}\right \}\right \}\] ✓ Maple : cpu = 0.015 (sec), leaf count = 19
dsolve(x^2*diff(diff(y(x),x),x)+x*diff(y(x),x)-y(x)-a*x^2=0,y(x))
\[y \left (x \right ) = x c_{2}+\frac {a \,x^{2}}{3}+\frac {c_{1}}{x}\]