2.1216   ODE No. 1216

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

\[ x y'(x) \left (a x^{\text {a1}}+b\right )+y(x) \left (A x^{2 \text {a1}}+B x^{\text {a1}}+C x^{\text {b1}}+\text {DD}\right )+x^2 y''(x)=0 \] Mathematica : cpu = 1.23578 (sec), leaf count = 0 , could not solve

DSolve[(DD + B*x^a1 + A*x^(2*a1) + C*x^b1)*y[x] + x*(b + a*x^a1)*Derivative[1][y][x] + x^2*Derivative[2][y][x] == 0, y[x], x]

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

\[ \left \{ y \left ( x \right ) ={\it DESol} \left ( \left \{ {\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}{\it \_Y} \left ( x \right ) +{\frac { \left ( a{x}^{{\it a1}}+b \right ) {\frac {\rm d}{{\rm d}x}}{\it \_Y} \left ( x \right ) }{x}}+{\frac { \left ( A{x}^{2\,{\it a1}}+B{x}^{{\it a1}}+C{x}^{{\it b1}}+{\it DD} \right ) {\it \_Y} \left ( x \right ) }{{x}^{2}}} \right \} , \left \{ {\it \_Y} \left ( x \right ) \right \} \right ) \right \} \]