\[ x^4 y''(x)-x \left (x^2+2 y(x)\right ) y'(x)+4 y(x)^2=0 \] ✓ Mathematica : cpu = 0.0696013 (sec), leaf count = 83
\[\left \{\left \{y(x)\to \frac {x^2 \left (\left (1-i \sqrt {-c_1-1}\right ) x^{2 i \sqrt {-c_1-1}}+\left (1+i \sqrt {-c_1-1}\right ) c_2\right )}{c_2+x^{2 i \sqrt {-c_1-1}}}\right \}\right \}\]
✓ Maple : cpu = 0.135 (sec), leaf count = 21
\[ \left \{ y \left ( x \right ) ={x}^{2} \left ( \tanh \left ( {\it \_C1}\, \left ( {\it \_C2}-\ln \left ( x \right ) \right ) \right ) {\it \_C1}+1 \right ) \right \} \]