Se appropriate algebra and theorem 7.2.1 to find the given inverse laplace transform. (write your answer as a function of t.) ℒ-1 4s - 6 s2 + 9

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Mathematics

Jonathon Cochran

4 May, 01:02

Se appropriate algebra and theorem 7.2.1 to find the given inverse laplace transform. (write your answer as a function of t.) ℒ-1 4s - 6 s2 + 9

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Jerimiah Mooney · Answer 1

We assume you want to find the inverse transform of (4s-6) / (s^2+9). A table of transforms will tell you that

4 (s / (s^2+9)) - 2 (3 / (s^2+9)) is the transform of 4cos (3t) - 2sin (3t)