Answer both parts question 5 is only there cuz you need the problem to solve part a and part b  Problem 5 is Find the Laplace transform of the square wave function with period 2 defined as  f(t)= {1, 0 ≤ t < 1 0, 1 ≤  t < 2   a) Show that the square wave function with period 2 defined in Probme [5] can be written  f(t)= Σ (-1)^k u (t-k) sigma from top is ∞ and from bottom is k=0 b) Obtain the result of [5] by taking the Laplace transform of the each term in the series in part(a).

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Answer both parts question 5 is only there cuz you need the problem to solve part a and part b 

Problem 5 is Find the Laplace transform of the square wave function with period 2 defined as 

f(t)=

{1, 0  t < 1

0, 1   t < 2

 

a) Show that the square wave function with period 2 defined in Probme [5] can be written 

f(t)= Σ (-1)^k u (t-k)

sigma from top is ∞ and from bottom is k=0

b) Obtain the result of [5] by taking the Laplace transform of the each term in the series in part(a).

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