2.1474   ODE No. 1474

\[ y'(x) \left (f'(x)+2 f(x)^2+4 g(x)\right )+y(x) \left (4 f(x) g(x)+2 g'(x)\right )+3 f(x) y''(x)+y^{(3)}(x)=0 \]

✗ Mathematica : cpu = 0.0173594 (sec), leaf count = 0

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]
 

, 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

dsolve(diff(diff(diff(y(x),x),x),x)+3*f(x)*diff(diff(y(x),x),x)+(diff(f(x),x)+2*f(x)^2+4*g(x))*diff(y(x),x)+(4*f(x)*g(x)+2*diff(g(x),x))*y(x)=0,y(x))
 

, result contains DESol or ODESolStruc

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