Answered

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The Laplace transform of a periodic function f(t) with period T is given by
L{f(t)} = F(s)/1-e⁻ˢᵗ where F(s) = ∫ᵗ₀ e⁻ˢᵗ f(t) dt.
Suppose f(t) is the square wave of period 4 given by
f(t) = { 1, if 0<1≤2, f(t+4) = f(t).
{ 10. if 2 <1<4
For this function, work out F(s).

Sagot :

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