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Point) Find the inverse Laplace transform f(t) = C 1 {F(s)} of the function F(s) =8 + 3f6) = c '{-3)}help (formulas;...

Question

Point) Find the inverse Laplace transform f(t) = C 1 {F(s)} of the function F(s) =8 + 3f6) = c '{-3)}help (formulas;

point) Find the inverse Laplace transform f(t) = C 1 {F(s)} of the function F(s) = 8 + 3 f6) = c '{- 3)} help (formulas;



Answers

Determine the inverse Laplace transform of the given function. $$F(s)=\frac{3}{s-2}.$$

Hello and welcome to Problem 13th chapter six, Section three you are asked to find the universal past transform of the gun function as the best equals three factorial over the quantity X minus two to the fourth power and that will be FFT. And to do this. We are going to use our um a new tool in our toolbox and that's the bull plus transform transform. And what this does is every time this S is um factored by offset by certain amount. The universal plus transform will be offset by exponential to that amount. So the inverse laplace transform. Fft is simply E. To the to T. Times the universal applause transform Of three factorial over S to the 4th. And from our experience um This is a T. To the end scenario where we'll have E to the to T. Times uh T. Cubed and that is the solution to this problem.

Okay. We're trying to to weigh just call to ever committed equal to equals to the calendars. Uh, before declining by s squared you can ask Wears a s cute They want better ways Four times Al In Vers Wonder It's cute, you know? It equals four times one day vibrant to territorial t Where to Teoh Square?


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