DSolve[(-2*mu*(1 + mu) - 2*nu*(1 + nu) + (mu*(1 + mu) - nu*(1 + nu))^2)*y[x] - 6*(-2 + mu*(1 + mu) + nu*(1 + nu))*x*Derivative[1][y][x] + (-8 + 24*x^3 - 2*(mu*(1 + mu) + nu*(1 + nu))*(-1 + x^2))*Derivative[2][y][x] + 10*x*(-1 + x^2)*Derivative[3][y][x] + (-1 + x^2)^2*Derivative[4][y][x] == 0,y[x],x]