Unformatted text preview: following differential equation: a 2 y (2) (t) + a 1 y (1) (t) + a y(t) = b 1 x (1) (t) + b x(t) For problems (1), (2), and (3) find the zeroinput response y (t) for the values given for the “a” coefficients and initial conditions. If the eigenvalues are complex, you must express the solution in the “standard form” given in class in order to receive credit. (1) a 2 = 1, a 1 = 18, a = 81; y(0) = 2, y (1) (0) = 22. (2) a 2 = 1, a 1 = 4, a = 13; y(0) = 6, y (1) (0) = 6. (3) a 2 = 1, a 1 = 14, a = 48; y(0) = 1, y (1) (0) = 14. (4) Evaluate 2rect(t/3) convolved with 3rect(t/3)....
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 Fall '07
 Cardwell
 Electrical Engineering, LTI system theory, Austin Department of Electrical and Computer Engineering EE

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