Help finding inverse laplace transform?

AI Thread Summary
The discussion focuses on finding the inverse Laplace transform using the residue method. The user has identified constants K1 and K2 as -2 and 4, respectively, and is seeking guidance on the next steps. It is suggested to substitute values for s, such as s=0 and s=1, to create equations for the unknowns k3 and k4. Solving these equations will yield the values of k3 and k4, allowing for the determination of the inverse Laplace transform for each fractional term. The conversation emphasizes the importance of solving for all constants to complete the transformation process.
Chandasouk
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http://img215.imageshack.us/i/unledc.jpg/

Using the residue method, I found K1 and K2 to be -2 and 4 respectively. However, where do I go from there?
 
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It is already mentioned in the figure you have attached.
Substitute two values for s say s=0 and s=1 independently and get two equations in terms of k3 and k4. So now 2 equations and 2 unknowns. You can solve and get values of k3 and k4.
Once you found the values of all constants, you can find inverse LT for each fractional term.
 

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