3354_f05_t3sol

3354_f05_t3sol - Math 3354 , Test # 3, Name KEY 1. Find the...

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Math 3354 , Test # 3, Name KEY 1. Find the Laplace transform of f ( t ) = sin(2 t ) h ( t - π ) ANSWER: 2 e - s 2 + 4 2. Find the Laplace transform of f ( t ) = e - 2 t t 4 ANSWER: 24 ( s + 2) - 5 3. Find the inverse Laplace transform of F ( s ) = e - πs ( s 2 - 4 s + 5) ANSWER: ANSWER: f ( t ) = h ( t - π ) e 2( t - π ) sin( t - π ) 4. Find the partial fraction expansion F ( s ) = 6 s ( s + 1) ( s - 2) ANSWER: 1 ( s - 2) + 2 ( s + 1) - 3 s 5. Find the inverse Laplace transform of F ( s ) = ( s + 1) ( s - 1) ( s 2 + 1) . L - 1 ( F ( s )) = L - 1 ± 1 ( s - 1) ² - L - 1 ± s ( s 2 + 1) ² = - cos (2 t ) + e t 6. Solve the integral equation for
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This note was uploaded on 10/19/2011 for the course MATH 2254 taught by Professor Gilliam during the Fall '05 term at Texas Tech.

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