1. The problem statement, all variables and given/known data 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 2. Relevant equations 3. The attempt at a solution in class we were given the equation: x''+(k/m)x=(F0/m)cos(ѡt) and, x_p= [(F0/m)/(ѡ0^2-ѡ^2)]cos(ѡt) where ѡ0=sqrt(k/m) 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?