Question 1. Verify that $x_0 = 0$ is a regular singular point and use the method of Frobenius to obtain a general solution $y(x) = C_1y_1(x) + C_2y_2(x)$ of the ODE
$x^2y'' + xy' - 4y = 0$, $0 < x < \infty$.
Determine the minimum possible interval for which you can be certain that your solution is valid.