2.1122   ODE No. 1122

\[ -\left (x^2-x-2\right ) y'(x)+x y''(x)-x (x+3) y(x)=0 \] Mathematica : cpu = 0.190959 (sec), leaf count = 57


\[\left \{\left \{y(x)\to c_2 e^{\frac {x^2}{2}} \int _1^x\frac {e^{-\frac {1}{2} K[1]^2-K[1]}}{K[1]^2}dK[1]+c_1 e^{\frac {x^2}{2}}\right \}\right \}\] Maple : cpu = 0.133 (sec), leaf count = 28


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