\[ f(x) y'(x)+g(x) y(x)+y''(x)=0 \] ✗ Mathematica : cpu = 0.215446 (sec), leaf count = 0
DSolve[g[x]*y[x] + f[x]*Derivative[1][y][x] + Derivative[2][y][x] == 0,y[x],x]
, could not solve
DSolve[g[x]*y[x] + f[x]*Derivative[1][y][x] + Derivative[2][y][x] == 0, y[x], x]
✗ Maple : cpu = 0. (sec), leaf count = 0
dsolve(diff(diff(y(x),x),x)+f(x)*diff(y(x),x)+g(x)*y(x)=0,y(x))
, result contains DESol or ODESolStruc
\[y \left (x \right ) = \mathit {DESol}\left (\left \{g \left (x \right ) \textit {\_Y} \left (x \right )+f \left (x \right ) \left (\frac {d}{d x}\textit {\_Y} \left (x \right )\right )+\frac {d^{2}}{d x^{2}}\textit {\_Y} \left (x \right )\right \}, \left \{\textit {\_Y} \left (x \right )\right \}\right )\]