2.1243   ODE No. 1243

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

\[ \left (x^2-1\right ) y''(x)+\left (x^2+1\right ) y(x)+4 x y'(x)=0 \] Mathematica : cpu = 0.031859 (sec), leaf count = 41

\[\left \{\left \{y(x)\to \frac {e^{-i x} \left (2 c_1-i c_2 e^{2 i x}\right )}{2 \left (x^2-1\right )}\right \}\right \}\]

Maple : cpu = 0.04 (sec), leaf count = 21

\[ \left \{ y \left ( x \right ) ={\frac {{\it \_C2}\,\cos \left ( x \right ) +{\it \_C1}\,\sin \left ( x \right ) }{{x}^{2}-1}} \right \} \]