Question

Find the Laplace transforms of the following functions:

a) f(t) = sin(at + b)   Using the integral of the Laplace transform

b) f(t) = cos(t) + sin(t/2)   You can directly use table 5.1

Tableau 5.1 Transformées de Laplace les plus couramment utilisées f(t)= £. {F()} F(s)= £{f(t)} f(t)=1 F(s) = 2 f(t)=1 F(s) ==

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here is the solutions

08 June Friday Wk 23. 159-206 08/06/2018 (a) Sin cattb) 9 Sinat. cosb + Cosat sinb. 10 F( Sin cat+b)) F(Senat. Cosbut cosat.June Monday (6) FCE) > Cast & Sint/ 11 Wk 24. 162-203 11/06/2018 9 It is a F(cost & sin t/2) 1 F kost) + f (sin t2) spoopenty

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