2.1157   ODE No. 1157

\[ a y'(x)+x^2 y''(x)-x y(x)=0 \] Mathematica : cpu = 0.49723 (sec), leaf count = 0


, DifferentialRoot result

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

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


, result contains DESol or ODESolStruc

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