Okay so this problem has been giving me nightmares ever since I laid eyes on it.
The problem: y'' - y = f(t), y(0) = 1, y'(0) = 0
f(t) = 1, 0 (less than equal to) t (less than) pi/2
f(t) = sin(t), t (greater than equal to) pi/2
Any help would...
1. Problem Statement
Okay so I know these appear to be simple but for some reason I am having trouble finding the methods by which to solve them.
Problem 1:
This problem must be solved by reduction of order method and cannot use the y2 formula.
(1 - x^2)y'' + 2xy' = 0; y1 = 1...