Program Description: Purpose of the problem is to obtain the Laplace transforms of the given function f ( t ) = 1 + cosh 5 t . Summary introduction: Program will use the definition of Laplace transform of function F ( s ) for all t ≥ 0 and is defined as, L { f ( t ) } = ∫ 0 ∞ e − s t f ( t ) d t Here, the improper integral will converges for all values of s .

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Chapter 7.1, Problem 15P

Program Plan Intro

Program Description: Purpose of the problem is to obtain the Laplace transforms of the given function f(t)=1+cosh5t .

Summary introduction: Program will use the definition of Laplace transform of function F(s) for all t≥0 and is defined as,

L{f(t)}=∫0∞e−stf(t)dt

Here, the improper integral will converges for all values of s .

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