In problem use Theorem 7 4 2 to evaluate the given Laplace transform Do not evaluate the integral before transforming t 2 te t Theorem 7 4 2 If f(t) and g(t) are piecewise continuous on 0, ) and of exponential order, then L f g f(1)) L g(1) F(s) G(s) 3D...

Given L t tet L f g L ft L gt Fs Gs ft t n ...

In problem use Theorem 7.4.2 to evaluate the given Laplace transform. Do not evaluate the integral before

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In problem use Theorem 7.4.2 to evaluate the given Laplace transform. Do not evaluate the integral before transforming.

ℒ{t² * te^t}

Theorem 7.4.2

If f(t) and g(t) are piecewise continuous on [0, ∞) and of exponential order, then

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In problem use Theorem 7.4.2 to evaluate the given Laplace transform. Do not evaluate the integral before

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L{f* g} = £{f(1)) L{g(1)} = F(s) G(s). %3D

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A First Course in Differential Equations with Modeling Applications

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