EE313 HW_9 TTH16190 Fall 2010

# EE313 HW_9 TTH16190 Fall 2010 - The University of Texas at...

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The University of Texas at Austin Department of Electrical and Computer Engineering EE 313, TTH, 16190, Fall 2010 Assignment No. 9, Due Tuesday, November 9, 2010 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 Prob.(1) Find the Laplace transforms of the following functions of time: (a) g(t) = te -3t u(t) (b) g(t) = (t-5)e -3(t-5) u(t-5) (c) g(t) = 6e -2t u(t-7) Prob. (2). Find the inverse Laplace transforms of the following functions of s. (a) G(s) = 1/(s+4) (b) G(s) = e -6s /(s+4) (c) G(s) = e -24 e -6s /(s+4) (d) G(s) = 1/(s + 4) 2 (e) G(s) = e -9s /(s + 4) 2 Prob. (3) Suppose the input-output relationship of a particular LTI CT system is described by the following differential equation: y (2) (t) + 12y (1) (t) + 36y(t) = x (1) (t) +2x(t) The initial conditions are

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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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EE313 HW_9 TTH16190 Fall 2010 - The University of Texas at...

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