Find the Laplace transform fraction for the following function and rearrange it such that X(s)/F(s) is the only term on the left-hand-side: x(t) + 27wx (t) +w²x(t) = f(t) Assume the initial conditions are all zero, x(to) to = 0. Hint: Use the differentiation theorem. = *(to) = *(to) = x (to) = 0 with initial time

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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Find the Laplace transform fraction for the following function and rearrange it such that X(s)/F(s)
is the only term on the left-hand-side:
x(t) + 25wx (t) +w²x(t) = f(t)
Assume the initial conditions are all zero, x(to) = x(to)= (to) = x (to) = 0 with initial time
to = 0. Hint: Use the differentiation theorem.
Transcribed Image Text:4 Problem Find the Laplace transform fraction for the following function and rearrange it such that X(s)/F(s) is the only term on the left-hand-side: x(t) + 25wx (t) +w²x(t) = f(t) Assume the initial conditions are all zero, x(to) = x(to)= (to) = x (to) = 0 with initial time to = 0. Hint: Use the differentiation theorem.
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