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'' -8y' +41y = g(t); y(0)= 0, y' (0) = 5
Find the transfer function.
H(s) = 1/(s² -8s +41)
Find the impulse response function.
h(t) = e 4t(1/5) sin (5t)
Give a formula for the solution to the initial value problem using v as the convolution variable.
y(t) = _____.