Assume you have a plant defined by the transfer function G(s) = 1/s+a. %3D Let Y(s) = G(s)U(s) where U(s) is an input to the plant and Y(s) is the output U(s)=+w² ? Here, y(t) is the inverse Laplace...

Extracted text: Assume you have a plant defined by the transfer function G(s) = 1/s+a. %3D Let Y(s) = G(s)U(s) where U(s) is an input to the plant and Y(s) is the output U(s)=+w² ? Here, y(t) is the inverse Laplace a) What is y(t) if U(s) is a cosine input i.e. transform of Y(s). [Hint: Use PFE method]