\[ y(x) \left (3 f''(x)+3 f(x)^2\right )+10 f'(x) y'(x)+10 f(x) y''(x)+y^{(4)}(x)=0 \] ✗ Mathematica : cpu = 0.0146281 (sec), leaf count = 0
, could not solve
DSolve[10*Derivative[1][f][x]*Derivative[1][y][x] + y[x]*(3*f[x]^2 + 3*Derivative[2][f][x]) + 10*f[x]*Derivative[2][y][x] + Derivative[4][y][x] == 0, y[x], x]
✓ Maple : cpu = 0.016 (sec), leaf count = 41
\[y \relax (x ) = \moverset {4}{\munderset {\textit {\_a} =1}{\sum }}{\mathrm e}^{\RootOf \left (\textit {\_Z}^{4}+10 f \,\textit {\_Z}^{2}+10 \mathit {df} \textit {\_Z} +3 f^{2}+3 \mathit {ddf} , \mathit {index} =\textit {\_a} \right ) x} \textit {\_C}_{\textit {\_a}}\]