A) Find the differential equation of the circuit B). Obtain the transfer function H(s) of the circuit C. Obtain the impulse response h(t) of the system x(1) 4 R₁ R₂ y (1)

Reduce the function block diagram given below to find the transfer function for the system.  a. What is the unit impulse response of this system in the time domain? b. What is its unit step response?

Find the transfer function of the following circuit where R₁=R2=10002 and C=100μ x(t) ww R₁ + C R₂ y(t) (b) Find the poles of the system. (c) Find its unit impulse response h(t). (d) Find its unit step response.

(b) The top panel in Figure 1 shows the input and the impulse response of an LTI system. Sketch the output of the system. Note: No mathematical work is needed, use a graphical approach. x(t) h(t) 2 2 1 1 t -5 -1 1 -3 3 y(t) Figure 1: Figure for Problem 1(b).