Use the unit step function to express the function http://webwork.math.ttu.edu/webwork2...18af0996c1.png and then find the Laplace Transform http://webwork.math.ttu.edu/webwork2...7ebbecd6c1.png

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- April 12th 2008, 09:35 AMdbhaktalaplace transforms
Use the unit step function to express the function http://webwork.math.ttu.edu/webwork2...18af0996c1.png and then find the Laplace Transform http://webwork.math.ttu.edu/webwork2...7ebbecd6c1.png

- April 12th 2008, 10:34 AMTheEmptySet
- April 21st 2008, 11:49 PMDanshader
First you need to convert the information given in the form of range to heaviside:

f(t) = 0, 0 < t < 2;

→ 0.[H(t-0) - H(t-2)]

= 0

f(t) = (t+1), t > 2;

→ (t+1). H(t+2)

[(t-2)+3].H(t-2)

(t-2)H(t-2) + 3H(t-2)

then you apply laplace transform to each of the terms above:

for the first term you will get: 0

for the second term you will get(using table):

exp(-2s)/(s^2) +3 exp(-2s)/s

for the second part just change (t+1) to 1 and repeat the steps again.

and yeah you can always use the general method posted by TheEmptySet.