M251ex2Laplace(fa03)

# M251ex2Laplace(fa03) - F s = s 2-4 s 3 6 s 2 9 s Page 2...

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MATH 251 Fall 2003 Exam II Laplace Transforms Make-Up 6. (14 pts) Write the following function in terms of unit step functions, and ±nd its Laplace trans- form. g ( t ) = t 2 + 1 0 t < 1 e - 3 t + 1 1 t < 2 1 t 2

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8. (12 pts) Find the inverse Laplace transform of:
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Unformatted text preview: F ( s ) = s 2-4 s 3 + 6 s 2 + 9 s Page 2 9. (20 pts) Solve the following initial value problem: y 00 + 4 y + 8 y = e 2 t-2 δ ( t-2 π ) , y (0) = 2 , y (0) = 0 Page 3...
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M251ex2Laplace(fa03) - F s = s 2-4 s 3 6 s 2 9 s Page 2...

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