2.1306   ODE No. 1306

\[ y(x) \left (a x^2+a+b x\right )+x^3 y''(x)+x^2 y'(x)=0 \] Mathematica : cpu = 0.849996 (sec), leaf count = 0


, DifferentialRoot result

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

Maple : cpu = 0.143 (sec), leaf count = 69


\[y \relax (x ) = \mathit {HD}\left (0, 8 a +4 b , 0, 8 a -4 b , \frac {1+x}{x -1}\right ) \left (\left (\int \frac {1}{x \mathit {HD}\left (0, 8 a +4 b , 0, 8 a -4 b , \frac {1+x}{x -1}\right )^{2}}d x \right ) c_{2}+c_{1}\right )\]