2.1157   ODE No. 1157

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

\[ a y'(x)+x^2 y''(x)-x y(x)=0 \] Mathematica : cpu = 0.569527 (sec), leaf count = 0 , DifferentialRoot result

\[\left \{\left \{y(x)\to (x)\right \}\right \}\]

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

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