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Unformatted text preview: BME 343 Homework Set #5
Due Monday October 17 by 9:59 am in GEA 105
No late work will be accepted! Problem 1. By direct integration find the Laplace transforms of the signals shown in Figure 1. Figure 1. Problem 2. Find the inverse (unilateral) Laplace transforms of the following functions:
(a)
(b)
(c)
(d) Problem 3. Using only Table 4.1 and the timeshifting property, determine the Laplace transform of the
signals in Figure 1. [Hint: See Section 1.4 for discussion of expressing such signals analytically.] Problem 4. Find the inverse Laplace transforms of the following functions:
(a)
(b) Problem 5. Using the Laplace transform, solve the following differential equations:
(a)
(b)
(c) Problem 6. For each of the systems described by the following differential equations, find the system
transfer function:
(a)
(b)
(c)
(d) Problem 7. For a system with transfer function (a) Find the (zerostate) response for input x(t) of (i) 10u(t) and (ii) u(t6).
(b) For this system write the differential equation relating the output y(t) to the input x(t) assuming
that the systems are controllable and observable. ...
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This note was uploaded on 12/14/2011 for the course BME 343 taught by Professor Emelianov during the Spring '09 term at University of Texas at Austin.
 Spring '09
 Emelianov

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