M334Sp06exam3

M334Sp06exam3 - Name: Student ID: Section: Instructor:...

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Unformatted text preview: Name: Student ID: Section: Instructor: Steven McKay Math 334 (Ordinary Differential Equations) Exam 3 June 13,14 2006 Instructions: For questions which require a written answer, show all your work. Full credit will be given only if the necessary work is shown justifying your answer. Simplify your answers. Calculators are not allowed. Should you have need for more space than is allocated to answer a question, use the back of the page the problem is on and indicate this fact. Please do not talk about the test with other students until after the last day to take the exam. For Instructor use only. # Possible Earned MC 24 9 12 10a 4 10b 4 11 12 12 12 13 12 14 12 15a 4 15b 4 Total 100 Elementary Laplace Transforms f ( t ) = L- 1 { F ( s ) } F ( s ) = L{ f ( t ) } 1. 1 1 s , s > 2. e at 1 s- a , s > a 3. t n , n = positive integer n ! s n +1 , s > 4. sin at a s 2 + a 2 , s > 5. cos at s s 2 + a 2 , s > 6. sinh at a s 2- a 2 , s > | a | 7. cosh at s s 2- a 2 , s > | a | 8. e at sin bt b ( s- a ) 2 + b 2 , s > a 9. e at cos bt s- a ( s- a ) 2 + b 2 , s > a 10. t n e at , n = positive integer n ! ( s- a ) n +1 , s > a 11. u c ( t ) e- cs s , s > 12. u c ( t ) f ( t- c ) e- cs F ( s ) 13. e ct f ( t ) F ( s- c ) 14....
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This note was uploaded on 11/29/2011 for the course MATH 334 taught by Professor Dallon during the Fall '08 term at BYU.

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M334Sp06exam3 - Name: Student ID: Section: Instructor:...

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