ODE No. 1237

\[ \left (x^2-1\right ) y''(x)+2 x y'(x)=0 \]

✓ Mathematica : cpu = 0.0182283 (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 = 0.024 (sec), leaf count = 20

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

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