2.1238   ODE No. 1238

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

\[ -a+\left (x^2-1\right ) y''(x)+2 x y'(x)=0 \] Mathematica : cpu = 0.0311523 (sec), leaf count = 36

\[\left \{\left \{y(x)\to \frac {1}{2} (a+c_1) \log (1-x)+\frac {1}{2} (a-c_1) \log (x+1)+c_2\right \}\right \}\] Maple : cpu = 0.026 (sec), leaf count = 26

\[\left \{y \left (x \right ) = c_{2}+\frac {\left (-c_{1}+a \right ) \ln \left (x +1\right )}{2}+\frac {\left (c_{1}+a \right ) \ln \left (x -1\right )}{2}\right \}\]