2.1075   ODE No. 1075

  1. Problem in Latex
  2. Mathematica input
  3. Maple input

\[ f(x) y'(x)+g(x) y(x)+y''(x)=0 \] Mathematica : cpu = 0.241473 (sec), leaf count = 0 , 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 , result contains DESol

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