\[ x^2 y''(x)+(2 x+1) x y'(x)-4 y(x)=0 \] ✓ Mathematica : cpu = 0.102871 (sec), leaf count = 44
DSolve[-4*y[x] + x*(1 + 2*x)*Derivative[1][y][x] + x^2*Derivative[2][y][x] == 0,y[x],x]
\[\left \{\left \{y(x)\to \frac {c_1 e^{-2 x} (2 x+3)}{2 x^2}+\frac {c_2 \left (2 x^2-4 x+3\right )}{4 x^2}\right \}\right \}\] ✓ Maple : cpu = 0.018 (sec), leaf count = 34
dsolve(x^2*diff(diff(y(x),x),x)+x*(2*x+1)*diff(y(x),x)-4*y(x)=0,y(x))
\[y \left (x \right ) = \frac {c_{1} \left (2 x^{2}-4 x +3\right )}{x^{2}}+\frac {c_{2} {\mathrm e}^{-2 x} \left (2 x +3\right )}{x^{2}}\]