\[ \left (x^2-1\right ) y''(x)+x y'(x)+2=0 \] ✓ Mathematica : cpu = 0.0670308 (sec), leaf count = 48
DSolve[2 + x*Derivative[1][y][x] + (-1 + x^2)*Derivative[2][y][x] == 0,y[x],x]
\[\left \{\left \{y(x)\to c_2-\frac {1}{4} \left (\log \left (1-\frac {x}{\sqrt {x^2-1}}\right )-\log \left (\frac {x}{\sqrt {x^2-1}}+1\right )+c_1\right ){}^2\right \}\right \}\] ✗ Maple : cpu = 0. (sec), leaf count = 0
dsolve((x^2-1)*diff(diff(y(x),x),x)+x*diff(y(x),x)+2=0,y(x))
, could not solve
dsolve((x^2-1)*diff(diff(y(x),x),x)+x*diff(y(x),x)+2=0,y(x))