The closed-form solution to a general IVP for a first order linear ODE will be used to compute the dependent variable for a handful of inputs. The main point is to get comfortable with the convolution representation of the zero-state response. A quick sketch of h(t ) and u( ) as a function of for various t's is quite useful in sorting out how to compute the integral. 1 Consider the first order ODE y = 2y + u. The solution to the initial value problem is given by y(t) = e2ty(0) + t 0 h(t )u( )d, (1) where the function h is h(t) = e2t, t 0 Let the initial condition in this analysis be 0, i.e. y(0) = 0. Answer the following: 1. Compute y for t 0 using (1) for the following inputs