✓ Mathematica : cpu = 0.0091675 (sec), leaf count = 30
DSolve[(1 - v)*(2 + v)*y[x] - 2*x*Derivative[1][y][x] + (-1 + x^2)*Derivative[2][y][x] == 0,y[x],x]
✓ Maple : cpu = 0.066 (sec), leaf count = 24
dsolve((x^2-1)*diff(diff(y(x),x),x)-2*x*diff(y(x),x)-(v+2)*(v-1)*y(x)=0,y(x))