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 = 0.0315346 (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 = 0.037 (sec), leaf count = 24

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