2.1077   ODE No. 1077

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

\[ y'(x) (a f(x)+b)+y(x) (c f(x)+d)+y''(x)=0 \] Mathematica : cpu = 0.427753 (sec), leaf count = 0 , could not solve

DSolve[(d + c*f[x])*y[x] + (b + a*f[x])*Derivative[1][y][x] + Derivative[2][y][x] == 0, y[x], x]

Maple : cpu = 0. (sec), leaf count = 0 , result contains DESol

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