2.1237   ODE No. 1237

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

\[ \left (x^2-1\right ) y''(x)+2 x y'(x)=0 \] Mathematica : cpu = 0.0111325 (sec), leaf count = 30

\[\left \{\left \{y(x)\to c_1 \left (\frac {1}{2} \log (1-x)-\frac {1}{2} \log (x+1)\right )+c_2\right \}\right \}\]

Maple : cpu = 0.028 (sec), leaf count = 21

\[ \left \{ y \left ( x \right ) ={\it \_C1}+ \left ( -{\frac {\ln \left ( 1+x \right ) }{2}}+{\frac {\ln \left ( x-1 \right ) }{2}} \right ) {\it \_C2} \right \} \]