\[ x^4 y''(x)-x \left (x^2+2 y(x)\right ) y'(x)+4 y(x)^2=0 \] ✓ Mathematica : cpu = 0.0678237 (sec), leaf count = 262
\[\left \{\left \{y(x)\to -\frac {x^3 \left (i \left (-\frac {\sqrt {-c_1-1}}{\sqrt {c_1}}+\frac {i}{\sqrt {c_1}}\right ) \sqrt {c_1} c_2 x^{-1+i \left (-\frac {\sqrt {-c_1-1}}{\sqrt {c_1}}+\frac {i}{\sqrt {c_1}}\right ) \sqrt {c_1}}+i \left (\frac {\sqrt {-c_1-1}}{\sqrt {c_1}}+\frac {i}{\sqrt {c_1}}\right ) \sqrt {c_1} x^{-1+i \left (\frac {\sqrt {-c_1-1}}{\sqrt {c_1}}+\frac {i}{\sqrt {c_1}}\right ) \sqrt {c_1}}\right )}{c_2 x^{i \left (-\frac {\sqrt {-c_1-1}}{\sqrt {c_1}}+\frac {i}{\sqrt {c_1}}\right ) \sqrt {c_1}}+x^{i \left (\frac {\sqrt {-c_1-1}}{\sqrt {c_1}}+\frac {i}{\sqrt {c_1}}\right ) \sqrt {c_1}}}\right \}\right \}\]
✓ Maple : cpu = 0.105 (sec), leaf count = 23
\[ \left \{ y \left ( x \right ) =\tanh \left ( -\ln \left ( x \right ) {\it \_C1}+{\it \_C2}\,{\it \_C1} \right ) {x}^{2}{\it \_C1}+{x}^{2} \right \} \]