2.1222   ODE No. 1222

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

\[ \left (x^2+1\right ) y''(x)+x y'(x)+2 y(x)=0 \] Mathematica : cpu = 0.0162585 (sec), leaf count = 30

\[\left \{\left \{y(x)\to c_1 \cos \left (\sqrt {2} \sinh ^{-1}(x)\right )+c_2 \sin \left (\sqrt {2} \sinh ^{-1}(x)\right )\right \}\right \}\] Maple : cpu = 0.02 (sec), leaf count = 23

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