ODE No. 1237

\[ \left (x^2-1\right ) y''(x)+2 x y'(x)=0 \] Mathematica : cpu = 0.021277 (sec), leaf count = 30

DSolve[2*x*Derivative[1][y][x] + (-1 + x^2)*Derivative[2][y][x] == 0,y[x],x]
 

\[\left \{\left \{y(x)\to c_1 \left (\frac {1}{2} \log (1-x)-\frac {1}{2} \log (x+1)\right )+c_2\right \}\right \}\] Maple : cpu = 0.019 (sec), leaf count = 20

dsolve((x^2-1)*diff(diff(y(x),x),x)+2*x*diff(y(x),x)=0,y(x))
 

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