2.1176   ODE No. 1176

  1. Problem in Latex
  2. Mathematica input
  3. Maple input

\[ x^2 y''(x)+\left (x^2+2\right ) y(x)-2 x y'(x)=0 \] Mathematica : cpu = 0.0166349 (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 = 0.03 (sec), leaf count = 15

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