2.1236   ODE No. 1236

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

\[ f(x) y(x)+\left (x^2-1\right ) y''(x)+x y'(x)=0 \] Mathematica : cpu = 0.422606 (sec), leaf count = 0 , could not solve

DSolve[f[x]*y[x] + x*Derivative[1][y][x] + (-1 + x^2)*Derivative[2][y][x] == 0, y[x], x]

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

\[ \left \{ y \left ( x \right ) ={\it DESol} \left ( \left \{ {\frac {f \left ( x \right ) {\it \_Y} \left ( x \right ) }{{x}^{2}-1}}+{\frac {x{\frac {\rm d}{{\rm d}x}}{\it \_Y} \left ( x \right ) }{{x}^{2}-1}}+{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}{\it \_Y} \left ( x \right ) \right \} , \left \{ {\it \_Y} \left ( x \right ) \right \} \right ) \right \} \]