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Unformatted text preview: Stephanie Campbell Assignment 6 MATH263, Fall 2010 due 11/20/2010 at 11:55pm EST. You may attempt any problem an unlimited number of times. 1. (1 pt) Find the Laplace Transform of the following func- tions: f ( t ) = 6 e- 4 t + 7 t 2 + 2 t + 3 F ( s ) = f ( t ) = 6 e 4 t sin ( 7 t )+ 2 t 3 + 3 e t F ( s ) = f ( t ) = 6 te- 4 t sin ( 7 t ) F ( s ) = Note that there is a table of Laplace transforms in Appendix C, page 1271 thru 1273 of the book. 2. (1 pt) Find the Laplace Transform of the following expres- sions: d 2 y dt 2 + 3 dy dt + 7 y given that y ( ) = 7 and dy dt ( ) = 8. 7 d 2 y dt 2- dy dt + 5 y given that y ( ) =- 3 and dy dt ( ) = 7. 5 d 2 y dt 2- 13 dy dt- 8 y given that y ( ) =- 7 and dy dt ( ) = 3. Please note that your answers should be functions of Y and s , Y being the Laplace transform of y . Do not use the notation Y ( s ) to write the Laplace transform of y . Webwork will interpret Y ( s ) as Y * ( s ) ....
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