2.1312   ODE No. 1312

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

\[ x \left (x^2+1\right ) y''(x)+2 \left (x^2-1\right ) y'(x)-2 x y(x)=0 \] Mathematica : cpu = 0.0188203 (sec), leaf count = 32

\[\left \{\left \{y(x)\to \frac {c_1}{x^2+1}+\frac {c_2 x^3}{3 \left (x^2+1\right )}\right \}\right \}\] Maple : cpu = 0.017 (sec), leaf count = 19

\[\left \{y \left (x \right ) = \frac {c_{2} x^{3}+c_{1}}{x^{2}+1}\right \}\]