Suppose f(t) is a function for which f'(t) is piecewise continuous and of exponential order c. Use

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Suppose f(t) is a function for which f'(t) is piecewise continuous and of exponential order c. Use results in this section and Section 7.1 to justify

where F(s) = ℒ{ f(t)}. Verify this result with f(t) = cos kt.

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A First Course in Differential Equations with Modeling Applications

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Question Posted: Nov 02, 2020 03:39 AM

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Suppose f(t) is a function for which f'(t) is piecewise continuous and of exponential order c. Use

Question:

f(0) = lim sF(s),

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ANSWER To justify the result f0 lim sFs where Fs ft we can use the inversion formula of the Laplace ...View the full answer

A First Course in Differential Equations with Modeling Applications

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