Unformatted text preview: (t) + 18y(t) = b 1 x (1) (t) + b x(t) Find the zero-input response y (t) , subject to the following initial conditions y(0) = -8, y (1) (0) = 48. . If the eigenvalues are complex, you must express the solution in the “standard form” given in class in order to receive credit. In Problems (2), (3), (4), and (5) below, evaluate the indicated convolutions. Express your answer in mathematical form and also carefully sketch (i.e., indicate all important coordinates) for the result c(t) . The asterisk denotes convolution. Prob. (2) c(t) = tri(t/3) * δ(t) Prob. (3) c(t) = tri(4t) * δ(t - 5) Prob. (4) c(t) = rect(t/6) * δ(2(t - 5)) Prob. (5) c(t) = rect(4t) * comb(t) Evaluate the indicated convolutions in Prob. (6) and (7). Express your result in mathematical form. Prob. (6) c(t) = u(t) * u(t) , where u(t ) is the unit step function. Prob. (7) c(t) = e λt u(t) * e λt u(t)...
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- Fall '07
- LTI system theory, Austin Department of Electrical and Computer Engineering EE, λt λt