Program Description: Purpose of problem is to obtain the Laplace transformation of the function described in the given figure. 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 ...........(1) Here, the improper integral will converges for all values of s . The linearity theorem of the Laplace transform for all s such that the functions f and g both exists is defined as, L { a f ( t ) + b g ( t ) } = a L { f ( t ) } + b L { g ( t ) }

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Chapter 7.1, Problem 10P

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Program Description: Purpose of problem is to obtain the Laplace transformation of the function described in the given figure.

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 ...........(1)

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

The linearity theorem of the Laplace transform for all s such that the functions f and g both exists is defined as,

L{af(t)+bg(t)}=aL{f(t)}+bL{g(t)}

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