2.1176   ODE No. 1176

\[ x^2 y''(x)+\left (x^2+2\right ) y(x)-2 x y'(x)=0 \] Mathematica : cpu = 0.014443 (sec), leaf count = 33


\[\left \{\left \{y(x)\to c_1 e^{-i x} x-\frac {1}{2} i c_2 e^{i x} x\right \}\right \}\] Maple : cpu = 0.033 (sec), leaf count = 15


\[y \relax (x ) = x \left (\sin \relax (x ) c_{1}+c_{2} \cos \relax (x )\right )\]