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 = 0.349437 (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

\[ \left \{ y \left ( x \right ) ={\it DESol} \left ( \left \{ {\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}{\it \_Y} \left ( x \right ) + \left ( af \left ( x \right ) +b \right ) {\frac {\rm d}{{\rm d}x}}{\it \_Y} \left ( x \right ) + \left ( cf \left ( x \right ) +d \right ) {\it \_Y} \left ( x \right ) \right \} , \left \{ {\it \_Y} \left ( x \right ) \right \} \right ) \right \} \]