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 = 0.0214606 (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 = 0.054 (sec), leaf count = 23

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