2.1312   ODE No. 1312

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

\[ 2 \left (x^2-1\right ) y'(x)+x \left (x^2+1\right ) y''(x)-2 x y(x)=0 \] Mathematica : cpu = 0.0167936 (sec), leaf count = 32

\[\left \{\left \{y(x)\to \frac {c_2 x^3}{3 \left (x^2+1\right )}+\frac {c_1}{x^2+1}\right \}\right \}\] Maple : cpu = 0.041 (sec), leaf count = 19

\[ \left \{ y \left ( x \right ) ={\frac {{\it \_C2}\,{x}^{3}+{\it \_C1}}{{x}^{2}+1}} \right \} \]