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1. (30 points) A system is described by the following differential equation:
+12y(t) = 2
y(0) = 0, = 1;
(a) Compute the zero-input response.
(b) Compute the impulse response, h(t).
(c) Determine the zero-state response when the input is r(t) = 4u(t).
Feel free to use Table 2.1 (attached at the end of this exam).
(d) Determine the total response of the system.
Table 2.1: Convolution Table
Open table as spreadsheet
x1(t)* x2(t) = x2(t)*xu(t)
λι – λα
λι 4 λ.
(M + N + :)!
F431 – +(21-22)redil
(N + M + :)!
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