Find and sketch the response of a dynamic system described by the equation Gy + y = f(t), with the initial condition y(O) = 4 when the inp1d is:

{a) f(t) = 10

{b) j(t) = 5e-~

{c) f(t) = 10 + 5e-!

{d) f ( t) = sin t + cos t Problem