Consider a continuous-time LTI system with the input-output relation given by y (t) = t e -(t -T)X (T) dT-00
(a) Find the impulse response h( t ) of this system.
(b) Show tha t the complex exponential function e st is an eigenfu nction of the system.
(c) Find the eigenvalue of the system correspond ing to e st by using the impulse response h(t) obtained in part (a).