How to Solve Inverse Laplace Transforms for a Rational Function?

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To solve the inverse Laplace transform of the function 200/(s^2 + 10s + 200), the denominator can be rewritten as (s + 5)^2 + 175. This form allows the use of a specific identity for inverse transforms. The discussion emphasizes the importance of partial fraction decomposition to simplify the function for easier transformation. Utilizing a table of transforms will aid in finding the solution. The approach outlined provides a clear method for tackling inverse Laplace transforms of rational functions.
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Homework Statement



Find the Inverse Laplace Transform of \frac{200}{s^{2}+10s+200}

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The Attempt at a Solution



Normaly use partial fractions to get simple functions that can be transformed using a table of transforms.
 
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Write the denominator as:
<br /> (s+5)^2+175<br />
 
Thanks. Theres a identity I can use to solve it in this form.
 

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