Consider the following ode: (x² - 1)y" (x) + 3xy'(x) + 3y = 0. (1) Is x = 100 an ordinary point? What is the radius of convergence? (2) Is x = 1 a regular singular point? If so, the solution of the form 8 y(x) = (x - 1)" Σan(x − 1)" - n=0 exists, what are the possible values of r? (3) Is x = -1 a regular singular point? If so, the solution of the form y(x) = (x + 1) Σan (x + 1)n n=0 exists, what are the possible values of r?