2.1304   ODE No. 1304

\[ x^3 y''(x)+x y'(x)+(-2 x-3) y(x)=0 \] Mathematica : cpu = 0.0491631 (sec), leaf count = 50


\[\left \{\left \{y(x)\to \frac {c_2 \left (e^{\frac {1}{x}} \text {Ei}\left (-\frac {1}{x}\right )+2 x^3-x^2+x\right )}{6 x}+\frac {c_1 e^{\frac {1}{x}}}{x}\right \}\right \}\] Maple : cpu = 0.031 (sec), leaf count = 38


\[y \relax (x ) = \frac {\Ei \left (1, \frac {1}{x}\right ) {\mathrm e}^{\frac {1}{x}} c_{2}+c_{1} {\mathrm e}^{\frac {1}{x}}-2 \left (x^{2}-\frac {1}{2} x +\frac {1}{2}\right ) c_{2} x}{x}\]