\[ 32 y''(x) \left (x y''(x)-y'(x)\right )^3+\left (2 y(x) y''(x)-y'(x)^2\right )^3=0 \] ✓ Mathematica : cpu = 0.116285 (sec), leaf count = 143
\[\left \{\left \{y(x)\to \frac {1}{4} \left (-\frac {8 c_1^3}{\sqrt [3]{3} \sqrt [3]{\sqrt {3} \sqrt {27 c_1^{10} c_2^{10}-64 c_1^9 c_2^9}-9 c_1^5 c_2^5}}+\frac {c_1^2}{c_2}-\frac {2 \sqrt [3]{\sqrt {3} \sqrt {27 c_1^{10} c_2^{10}-64 c_1^9 c_2^9}-9 c_1^5 c_2^5}}{3^{2/3} c_2^3}\right ) x^2+c_1 x+c_2\right \}\right \}\]
✗ Maple : cpu = 0. (sec), leaf count = 0 , exception
time expired