1. The problem statement, all variables and given/known data Consider the initial value problem y'' + 1/3y' + 4y = fk(t) with y(0) = y'(0) = 0, fk(t) = 1/2k for 4 - k < t < 4 + k 0 otherwise and 0 < k < 4. (a) Write fk(t) in terms of Heaviside step functions and then solve the initial value problem. 3. The attempt at a solution I can convert it to a heaviside function and do the laplace transform and get fk(t)= 1/2k H(t-(4-k)) - 1/2k H(t+(4-k)) and then taking the laplace transform of the entire equation get Y(s) = 1/2k(s2+1/3 s + 4) * (e-(4-k)s/s - e-(4+k)s/s) Im assuming this is corrent. But then how do I take the inverse laplace transform of this???