1. Find the Laplace transform of each of the following functions: (a). f(t) = t ,...

1. Find the Laplace transform of each of the following functions: (a). f(t) = t , (b). f(t) = t² , (c) f(t) = tⁿwhere n is a positive integer

Laplace transform of the given function

2. . f(t) = sin bt

3. f(t) = e^at sin bt

Expert Solution

Colby Messinger answered 1 year ago

Find the Laplace Transform of the functions t , 0 ≤ t < 1 (a) f(x)...

Find the Laplace Transform of the functions t , 0 ≤ t < 1 (a) f(x) = 2 − t , 1 ≤ t < 2 0 , t ≥ 2 (b) f(t) = 12 + 2 cos(5t) + t cos(5t) (c) f(t) = t 2 e 2t + t 2 sin(2t)

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. Find the Laplace transform of the functions: f(t) = 3e^5t t^3 − 6e^−t t^4 g(t) = 5e^3t cos(4t) − 6e^2t sin(7t)

1) Find the Laplace transform of f(t)=−(2u(t−3)+4u(t−5)+u(t−8)) F(s)= 2) Find the Laplace transform of f(t)=−3+u(t−2)⋅(t+6) F(s)=...

1) Find the Laplace transform of f(t)=−(2u(t−3)+4u(t−5)+u(t−8)) F(s)= 2) Find the Laplace transform of f(t)=−3+u(t−2)⋅(t+6) F(s)= 3) Find the Laplace transform of f(t)=u(t−6)⋅t^2 F(s)=

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1. Find the Laplace transform of each of the following functions: (a). f(t) = t ,...

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