The Laplace transform of a function f(t) is defined to be: L(f)=∫ 0[infinity] e −stf(t)dt. Use this integral to calculate the Laplace transforms of each of the following functions. In each case, assume that s is large enough to guarantee convergence.
a) t + 1
b) (t + 1)e − 4t.

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27-06-2024
Mathematics

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The Laplace transform of a function f(t) is defined to be: L(f)=∫ 0[infinity] e −stf(t)dt. Use this integral to calculate the Laplace transforms of each of the following functions. In each case, assume that s is large enough to guarantee convergence.
a) t + 1
b) (t + 1)e − 4t.

Sagot :

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