EE313 HW_4 TTH16190 Fall 2010

EE313 HW_4 TTH16190 Fall 2010 - following differential...

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The University of Texas at Austin Department of Electrical and Computer Engineering EE 313, TTH, 16190, Fall 2010 Assignment No. 4, Due Tuesday, September 28, 2010 Please note all homework assignments will be posted on Blackboard. It is your responsibility to monitor Blackboard for homework assignments. Course handouts will likewise be available on Blackboard. Please include the following information on the first-page of each assignment: (1) Your name (printed legibly), (2) course number EE 313 , (3) Assignment Number , and (4) Due Date . Thank you. Please staple your homework pages together. Page numbers refer to the course textbook by Roberts Suppose the input-output relationship of a particular LTI system is described by the
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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 zero-input 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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This note was uploaded on 02/02/2011 for the course EE 313 taught by Professor Cardwell during the Fall '07 term at University of Texas at Austin.

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