2.1212   ODE No. 1212

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

\[ x \left (a x^2+b\right ) y'(x)+f(x) y(x)+x^2 y''(x)=0 \] Mathematica : cpu = 0.444982 (sec), leaf count = 0 , could not solve

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

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

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