\[ x \left (x^2-1\right ) y''(x)+\left (3 x^2-1\right ) y'(x)+x y(x)=0 \] ✓ Mathematica : cpu = 0.0743607 (sec), leaf count = 38
DSolve[x*y[x] + (-1 + 3*x^2)*Derivative[1][y][x] + x*(-1 + x^2)*Derivative[2][y][x] == 0,y[x],x]
\[\left \{\left \{y(x)\to c_2 G_{2,2}^{2,0}\left (x^2|\begin {array}{c} \frac {1}{2},\frac {1}{2} \\ 0,0 \\\end {array}\right )+\frac {2 c_1 K\left (x^2\right )}{\pi }\right \}\right \}\] ✓ Maple : cpu = 0.034 (sec), leaf count = 13
dsolve(x*(x^2-1)*diff(diff(y(x),x),x)+(3*x^2-1)*diff(y(x),x)+x*y(x)=0,y(x))
\[y \left (x \right ) = c_{1} \EllipticK \left (x \right )+c_{2} \EllipticCK \left (x \right )\]