2.1443   ODE No. 1443

\[ y''(x)=-\frac {f'(x) y'(x)}{2 f(x)}-\frac {g(x) y(x)}{f(x)} \] Mathematica : cpu = 0.297395 (sec), leaf count = 0


, could not solve

DSolve[Derivative[2][y][x] == -((g[x]*y[x])/f[x]) - (Derivative[1][f][x]*Derivative[1][y][x])/(2*f[x]), y[x], x]

Maple : cpu = 0. (sec), leaf count = 0


, result contains DESol or ODESolStruc

\[y \relax (x ) = \mathit {DESol}\left (\left \{\frac {g \relax (x ) \textit {\_Y} \relax (x )}{f \relax (x )}+\frac {\left (\frac {d}{d x}f \relax (x )\right ) \left (\frac {d}{d x}\textit {\_Y} \relax (x )\right )}{2 f \relax (x )}+\frac {d^{2}}{d x^{2}}\textit {\_Y} \relax (x )\right \}, \left \{\textit {\_Y} \relax (x )\right \}\right )\]