Program Description: Purpose of the problem is to obtain the Laplace transform of the given function f ( t ) = cos 2 2 t . Summary introduction: Program will use the Laplace transform as given below. L { cos k t } = s s 2 + k 2 L { 1 } = 1 s Here, the value of s > 0 . 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 17P

Program Plan Intro

Program Description: Purpose of the problem is to obtain the Laplace transform of the given function f(t)=cos22t .

Summary introduction:Program will use the Laplace transform as given below.

L{coskt}=ss2+k2L{1}=1s

Here, the value of s>0 .

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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