solve using greens theorem:
we seek to solve: d^ 2 y/ dx^2 + 4y = 4 sec 2x tan 2x, subject to the initial conditions y(0) = 3 , y'(0) = −4
(a) find the solution to the homogeneous equation with the nonhomogeneous boundary conditions (yh).
(b) what is the green’s function for this operator?
(c) what is the particular solution (yp)?
(d) what is the solution to the initial value problem ((1)& (
(e) what is the largest interval starting at x = 0 for which the solution is valid?