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M334W10E3 - Name Student ID Section Instructor Math...

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Name: Student ID: Section: Instructor: Math 334 (Ordinary Differential Equations) Exam 3 RED March 19 - March 23, 2010 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. Textbooks are not allowed. Notes are not allowed. Should you have need for more space than is allotted to answer a question, use the bottom of another page and indicate this fact. Please do not talk about the exam with other students until after the last day to take the exam. For Instructor use only. # Possible Earned MC 40 9 10 10 10 11 10 12 10 13 10 14 10 Total 100
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Table of Laplace Transforms f ( t ) = L - 1 { F ( s ) } F ( s ) = L { f ( t ) } , G ( s ) = L { g ( t ) } 1 1 /s e at 1 / ( s - a ) t n , n positive integer n ! s n +1 t p , p > - 1 Γ ( p + 1) s p +1 sin at a s 2 + a 2 cos at s s 2 + a 2 sinh at a s 2 - a 2 cosh at s s 2 - a 2 e at sin bt b ( s - a ) 2 + b 2 e at cos bt s - a ( s - a ) 2 + b 2 t n e at , n positive integer n !
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