laplace inverse transform using partial fractions

laplace inverse using partial fractions .find the answer for this sum s²/s^4+4a^4.

Hi there,


I think you meant to write:
s²/(s^4+4a^4)

Is this correct or not?

I take it you are looking for the partial fraction expansion.
In short, you write the equivalent expression based on the powers of s in the denominator and then
solve one way or another. Once solved, you end up with a sum of smaller terms that can be
transformed much easier and the result is the sum of all these individual inverse transforms.
In this particular case you may benefit from first factoring the denominator.

I think there is a good article in Wikipedia about partial fractions if i remember right.

BTW, i see this is your first post, so welcome to the forums.

Thank you MrA.I got the answer for the question.