Exam3A - M427K EXAM 3A SPRING 2008 Dr Schurle Your name...

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M427K EXAM 3A SPRING, 2008 Dr. Schurle Your name: Your UTEID: Show all your work on these pages. Be organized and neat. Your work should be your own; there should be no talking, reading notes, checking laptops, using cellphones, . . . . 1. (8 points) Use the definition of the Laplace transform of a function to find the Laplace transform of f ( t ) = e 3 t . Show all the details of your work.
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YOUR SCORE: /70 2. Let f ( t ) = u 2 ( t ) + 3 u 4 ( t ) sin( t - 4). (a) (6 points) Sketch an accurate graph of f ( t ) on 0 t 11. (b) (6 points) Find the Laplace transform of f ( t ). You may use the table attached at the end of this exam. 3. (6 points) Determine whether the method of separation of variables can be used to re- place the given partial differential equation by a pair of ordinary differential equations. If so, find the equations. u xx + u tt + xu = 0
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This note was uploaded on 09/27/2008 for the course M 427K taught by Professor Fonken during the Spring '08 term at University of Texas.

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Exam3A - M427K EXAM 3A SPRING 2008 Dr Schurle Your name...

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