A linear system is governed by the given initial value problem. Find the transfer function H(s) for the system and the impulse response function h(t) and give a formula for the solution to the initial value problem. y"-64y= g(t); y(0) = 1, y'(0)=0 Find the transfer function. H(s) = 1 s-64 Find the impulse response function. 1 h(t) = sinh 8t Give a formula for the solution to the initial value problem using v as the convolution variable. t y(t) = S sinh (8(t-v))g(v)dv + cosh 8t 0