\[ y''(x)=-\frac {y(x) \left (A x^2+B\right )}{x \left (x^2-\text {a1}\right ) \left (x^2-\text {a2}\right ) \left (x^2-\text {a3}\right )}-\frac {y'(x) \left (x^2 \left (\left (x^2-\text {a1}\right ) \left (x^2-\text {a2}\right )+\left (x^2-\text {a1}\right ) \left (x^2-\text {a3}\right )+\left (x^2-\text {a2}\right ) \left (x^2-\text {a3}\right )\right )+\left (\text {a1}-x^2\right ) \left (x^2-\text {a2}\right ) \left (x^2-\text {a3}\right )\right )}{x \left (x^2-\text {a1}\right ) \left (x^2-\text {a2}\right ) \left (x^2-\text {a3}\right )} \] ✗ Mathematica : cpu = 41.3765 (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
\[y \relax (x ) = \mathit {DESol}\left (\left \{\frac {d^{2}}{d x^{2}}\textit {\_Y} \relax (x )+\frac {\left (x^{2} \left (\left (x^{2}-\mathit {a1} \right ) \left (x^{2}-\mathit {a2} \right )+\left (x^{2}-\mathit {a2} \right ) \left (x^{2}-\mathit {a3} \right )+\left (x^{2}-\mathit {a3} \right ) \left (x^{2}-\mathit {a1} \right )\right )-\left (x^{2}-\mathit {a1} \right ) \left (x^{2}-\mathit {a2} \right ) \left (x^{2}-\mathit {a3} \right )\right ) \left (\frac {d}{d x}\textit {\_Y} \relax (x )\right )}{x \left (x^{2}-\mathit {a1} \right ) \left (x^{2}-\mathit {a2} \right ) \left (x^{2}-\mathit {a3} \right )}+\frac {\left (A \,x^{2}+B \right ) \textit {\_Y} \relax (x )}{x \left (x^{2}-\mathit {a1} \right ) \left (x^{2}-\mathit {a2} \right ) \left (x^{2}-\mathit {a3} \right )}\right \}, \left \{\textit {\_Y} \relax (x )\right \}\right )\]