\[ -h\left (y(x),f(x) y'(x)\right )+f(x) f'(x) y'(x)+f(x)^2 y''(x)=0 \] ✗ Mathematica : cpu = 0.720399 (sec), leaf count = 0
, could not solve
DSolve[-h[y[x], f[x]*Derivative[1][y][x]] + f[x]*Derivative[1][f][x]*Derivative[1][y][x] + f[x]^2*Derivative[2][y][x] == 0, y[x], x]
✗ Maple : cpu = 0. (sec), leaf count = 0
, result contains DESol or ODESolStruc
\[y \relax (x ) = \textit {\_a} \boldsymbol {\mathrm {where}}\left [\left \{\frac {d}{d \textit {\_a}}\mathrm {\_}\mathrm {b}\left (\textit {\_a} \right )=-h \left (\textit {\_a} , \frac {1}{\textit {\_}b\left (\textit {\_a} \right )}\right ) \textit {\_}b\left (\textit {\_a} \right )^{3}\right \}, \left \{\textit {\_a} =y \relax (x ), \textit {\_}b\left (\textit {\_a} \right )=\frac {1}{f \relax (x ) \left (\frac {d}{d x}y \relax (x )\right )}\right \}, \left \{x =\RootOf \left (\int \textit {\_}b\left (\textit {\_a} \right )d \textit {\_a} +c_{1}-\left (\int _{}^{\textit {\_Z}}\frac {1}{f \left (\textit {\_f} \right )}d \textit {\_f} \right )\right ), y \relax (x )=\textit {\_a} \right \}\right ]\]