ODE No. 1234

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

✓ Mathematica : cpu = 0.0314429 (sec), leaf count = 31

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

\[\left \{\left \{y(x)\to c_2-\frac {1}{4} \left (-2 \tanh ^{-1}\left (\frac {x}{\sqrt {x^2-1}}\right )+c_1\right ){}^2\right \}\right \}\]

✗ 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))