\[ y'(x) \left (f'(x)+2 f(x)^2+4 g(x)\right )+y(x) \left (4 f(x) g(x)+2 g'(x)\right )+3 f(x) y''(x)+y^{(3)}(x)=0 \] ✗ Mathematica : cpu = 0.0125156 (sec), leaf count = 0
, could not solve
DSolve[y[x]*(4*f[x]*g[x] + 2*Derivative[1][g][x]) + (2*f[x]^2 + 4*g[x] + Derivative[1][f][x])*Derivative[1][y][x] + 3*f[x]*Derivative[2][y][x] + Derivative[3][y][x] == 0, y[x], x]
✗ Maple : cpu = 0. (sec), leaf count = 0
, result contains DESol or ODESolStruc
\[y \relax (x ) = \mathit {DESol}\left (\left \{g \relax (x ) \textit {\_Y} \relax (x )+f \relax (x ) \left (\frac {d}{d x}\textit {\_Y} \relax (x )\right )+\frac {d^{2}}{d x^{2}}\textit {\_Y} \relax (x )\right \}, \left \{\textit {\_Y} \relax (x )\right \}\right )^{2}\]