(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

[tex]Y(s) = \frac{1}{(s-2)^{2}(s+1)^{3}}[/tex]

2. Relevant equations

...

3. The attempt at a solution

Ok, so my goal is to find the Laplace transform of the above. I need to use partial fraction decomposition to break up the denominator. With that in mind, I have the following:

[tex]Y(s) = \frac{1}{(s-2)^{2}(s+1)^{3}} = \frac{A}{s-2}+ \frac{B}{(s-2)^{2}} + \frac{C}{s+1} + \frac{D}{(s+1)^{2}}+ \frac{E}{(s+1)^{3}}[/tex]

After this I multiplied by the common denominator and came up with 5 equations. Those equations I came up with are:

A + C = 0

A + B - 2C + D = 0

-3A + 3B - 3C -3D + E = 0

-5A + 3B + 4C -4E = 0

-2A + B + 4C + 4D + 4E = 1

Now, once solving those I get:

A = 4/27

B = 8/27

C = -4/27

D = 7/27

E = 3/27

However, that's wrong, I am wondering if my setup is correct. I can post all my algebraic work if necessary.

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# Homework Help: Inverse Laplace Tranform

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