2.1225   ODE No. 1225

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

\[ \left (x^2+1\right ) y''(x)-x y'(x)+y(x)=0 \] Mathematica : cpu = 0.0220558 (sec), leaf count = 29

\[\left \{\left \{y(x)\to c_2 \left (x \sinh ^{-1}(x)-\sqrt {x^2+1}\right )+c_1 x\right \}\right \}\] Maple : cpu = 0.039 (sec), leaf count = 23

\[\left \{y \left (x \right ) = -c_{2} \sqrt {x^{2}+1}+\left (c_{2} \arcsinh \left (x \right )+c_{1}\right ) x\right \}\]