Question

Find the inverse Laplace transform of the given function. (Express your answer in terms of t.)...

Find the inverse Laplace transform of the given function. (Express your answer in terms of t.)

F(s) =

8s2 − 10s + 75
s(s2 + 25)

  
  

Math   Calculus   
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Homework Answers

Answer #1

Converting it into partial fractions

Up on equating we get

A+B=8 ; C=-10 ; 25A=75 => A=3

A+B=8 => B=8-3 =5

=> A=3 ; B=5 ; C=-10

apply inverse laplace transform

  

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