\[ y'(x) \left (f'(x)+2 f(x)^2+4 g(x)\right )+y(x) \left (4 f(x) g(x)+2 g'(x)\right )+3 f(x) y''(x)+y^{(3)}(x)=0 \] ✗ Mathematica : cpu = 0.0114949 (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
\[ \left \{ y \left ( x \right ) = \left ( {\it DESol} \left ( \left \{ {\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}{\it \_Y} \left ( x \right ) +f \left ( x \right ) {\frac {\rm d}{{\rm d}x}}{\it \_Y} \left ( x \right ) +g \left ( x \right ) {\it \_Y} \left ( x \right ) \right \} , \left \{ {\it \_Y} \left ( x \right ) \right \} \right ) \right ) ^{2} \right \} \]