2.1473   ODE No. 1473

\[ y(x) \left (f(x) g(x)+g'(x)\right )+f(x) y''(x)+g(x) y'(x)+y^{(3)}(x)=0 \] Mathematica : cpu = 0.0106054 (sec), leaf count = 0


, could not solve

DSolve[y[x]*(f[x]*g[x] + Derivative[1][g][x]) + g[x]*Derivative[1][y][x] + 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

\[y \relax (x ) = \mathit {DESol}\left (\left \{\frac {d^{3}}{d x^{3}}\textit {\_Y} \relax (x )+f \relax (x ) \left (\frac {d^{2}}{d x^{2}}\textit {\_Y} \relax (x )\right )+g \relax (x ) \left (\frac {d}{d x}\textit {\_Y} \relax (x )\right )+\left (f \relax (x ) g \relax (x )+\frac {d}{d x}g \relax (x )\right ) \textit {\_Y} \relax (x )\right \}, \left \{\textit {\_Y} \relax (x )\right \}\right )\]