This is an example of an Undamped Forced Oscillation where the phenomenon of Pure Resonance Occurs.
Find the solution of the initial value problem:
x'' + 4 x = 8 sin(2 t) , x(0)=x'(0)=0
The Attempt at a Solution
in class we were given the equation:
However, in this equation ѡ=2 and ѡ0=sqrt(4)=2
so, the equation to find x_p fails... since ѡ0^2-ѡ^2 =0
I feel like I am just missing something here... anyone want to help me out?