Could someone help me here?

L[y] =

Solution to that gives

y = .

I understand all but the e^-5t in this solution.

Any assistance greatly appreciated.

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- January 1st 2012, 05:36 PMpaulbk108Completing Laplace Transform problem.
Could someone help me here?

L[y] =

Solution to that gives

y = .

I understand all but the e^-5t in this solution.

Any assistance greatly appreciated. - January 1st 2012, 05:38 PMpaulbk108Re: Completing Laplace Transform problem.
Apologies. Darn Latex. Cannot get it to work for the life of me!

L[y] = \frac{2(s+5)}{(s+5)^2+1/2} + {10}{(s+5)^2+1/2}

Solution to that gives

y = 2e^-5t cos(\frac{t}{\sqrt{2}}) + 10\sqrt{2}e^-5t sin(\frac{t}{\sqrt{2}}). - January 1st 2012, 05:52 PMProve ItRe: Completing Laplace Transform problem.