how do i solve y''+y = (Dirac(t-2*pi))*cos(t) ??

Question

yuki · Answer

wow, what does Dirac mean?

anonymous · Answer

It is the Dirac Delta function.

anonymous · Answer

It is related to the Laplace Transforms of Impulse Functions.

anonymous · Answer

Is it related to signal processing

anonymous · Answer

It definitely has it's applications in that. I'm using it in differential equations right now.

anonymous · Answer

This is way too advanced for me

yuki · Answer

I would love to help but I don't have my DE book with me
sorry

anonymous · Answer

no problem, thanks anyways.

yuki · Answer

All I can remember is that all Laplace transformations have a table and it should tell you what the integral is, right?

yuki · Answer

I hope you can find someone who can help you

anonymous · Answer

Yes it is in there; however, I don't know what to do with it since the "cos(t)" function is slipped in there.

yuki · Answer

integration by parts maybe?

anonymous · Answer

I found a solution to my problem..it was quite simple. I don't have a formal proof, but Sal from Kahn Academy in his D.E. lectures justified it for me.

L{Dirac(t-c)*f(t)} = exp(-sc)*f(c)

Thanks anyways, though.

yuki · Answer

I'm glad that you got the answer.