\[ x^4 \left (-y'(x)^2\right )+4 x^2 y''(x)+4 y(x)=0 \] ✗ Mathematica : cpu = 6.05655 (sec), leaf count = 0
, could not solve
DSolve[4*y[x] - x^4*Derivative[1][y][x]^2 + 4*x^2*Derivative[2][y][x] == 0, y[x], x]
✗ Maple : cpu = 0. (sec), leaf count = 0
, result contains DESol or ODESolStruc
\[y \relax (x ) = \left (\textit {\_a} \,{\mathrm e}^{\int -2 \textit {\_}b\left (\textit {\_a} \right )d \textit {\_a} -2 c_{1}}\right )\boldsymbol {\mathrm {where}}\left [\left \{\frac {d}{d \textit {\_a}}\mathrm {\_}\mathrm {b}\left (\textit {\_a} \right )=\left (-\textit {\_a}^{2}+7 \textit {\_a} \right ) \textit {\_}b\left (\textit {\_a} \right )^{3}+\left (\textit {\_a} -5\right ) \textit {\_}b\left (\textit {\_a} \right )^{2}-\frac {\textit {\_}b\left (\textit {\_a} \right )}{4}\right \}, \left \{\textit {\_a} =x^{2} y \relax (x ), \textit {\_}b\left (\textit {\_a} \right )=\frac {1}{x^{2} \left (x \left (\frac {d}{d x}y \relax (x )\right )+2 y \relax (x )\right )}\right \}, \left \{x ={\mathrm e}^{\int \textit {\_}b\left (\textit {\_a} \right )d \textit {\_a} +c_{1}}, y \relax (x )=\textit {\_a} \,{\mathrm e}^{\int -2 \textit {\_}b\left (\textit {\_a} \right )d \textit {\_a} -2 c_{1}}\right \}\right ]\]