Question

Find the inverse laplace transform of 1/s^4.

Answer 1

@Loser66

Answer 2

ok so laplace transform of t^3 is 6/s^4
so in that fraction we are missing only the 6 so nothing would change in the fraction if we rewrite it as \[\frac{ 1 }{ 6 }\frac{ 6 }{ s^{4} }\]
now find inverse laplace of that with pulling out of the inverse laplace the 1/6 since its a constant

Answer 3

But how did you get the t^3?

Answer 4

its table laplace transform laplace of t^n is :
\[L(t^{n})=\frac{ n! }{ s^{n+1} }\]
but here its inverse laplace so you are given the right side so you work backwards

Answer 5

So you get it from 4-1=3, t^3, right?

Answer 6

yes thats right

Answer 7

And how did you get that the laplace transform of t^3 is 6/s^4?

Answer 8

it is a table laplace transform , i was using the formula i wrote above

Answer 9

check in you table of laplace transforms you should have laplace transform of t^n

Answer 10

Okay, thanks.

Answer 11

ur welcome :)