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HW5 - t f b 2b 3b 4b a f(t t 4 Use Laplace Transform to...

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ME 391: FALL 2007 HW 5 (Due Date: Oct. 17, 2007) 1. Use the second translation theorem to solve the following (a). )} 3 ( ) 3 {( 2 - - t u t L . Here ) 3 ( - t u is the unit step function. (b). + + - 13 4 2 4 1 s s e s - L 2. Use convolution to solve these problems. (Note that you may be able to solve these using other methods, but you must use convolution here.) (a). Determine g f for t t f 3 sin ) ( = , t t g = ) ( (b). ( 29 + 2 2 1 9 1 s s - L 3. Find the Laplace Transform of the following periodic function
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Unformatted text preview: ) ( t f . b 2b 3b 4b a f(t) t 4. Use Laplace Transform to solve the following integrodifferential equation t d y t y t sin 1 ) ( ) (-= + ′ ∫ τ , ) ( = y 5. Practice Problems (do not submit for grading) Exercises 4.3: Problems 38, 42, 45, 47, 55, 57, 60, 66, 70 Exercises 4.4: Problems 3, 8, 9, 13, 17, 25, 30, 34, 39, 53 Exercises 4.5: Problems 4,6,10...
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