Q:1 (a) (7 points) Find the largest interval centered about x = 0 for which the given initial-value problem has a unique solution
y + sec(x)y = e^y(0) = 1, y'(0) = 0
(b) (6 points) Given that {e^x, sin(x), cos(x)} is a set of solutions of the differential equation y'' - y'' + y - = 0 on the interval (-∞, ∞). Show that this is a fundamental set of solutions. Also write the general solution.