\[ -a+\left (x^2-1\right ) y''(x)+2 x y'(x)=0 \] ✓ Mathematica : cpu = 0.0267852 (sec), leaf count = 36
DSolve[-a + 2*x*Derivative[1][y][x] + (-1 + x^2)*Derivative[2][y][x] == 0,y[x],x]
\[\left \{\left \{y(x)\to \frac {1}{2} (a+c_1) \log (1-x)+\frac {1}{2} (a-c_1) \log (x+1)+c_2\right \}\right \}\] ✓ Maple : cpu = 0.024 (sec), leaf count = 26
dsolve((x^2-1)*diff(diff(y(x),x),x)+2*x*diff(y(x),x)-a=0,y(x))
\[y \left (x \right ) = \frac {\left (a -c_{1}\right ) \ln \left (1+x \right )}{2}+\frac {\left (a +c_{1}\right ) \ln \left (x -1\right )}{2}+c_{2}\]