How Do I Find the Inverse Laplace Transform for These Functions?

[Patton84]

I'm having some trouble getting the inverse Laplace to the following problems...I need some help

F(s)=24/s^5

F(s)= 4/[((s-2)^2)+25

F(s)= s/(s-1)(s+1)

 

[rock.freak667]

For the first one, consider L{tⁿ} works out to be for n>0.

For the second one what is

$$L^{-1} (\frac{1}{s^2+k^2)$$

for the third one, split into partial fractions.

 

[Patton84]

For the first one, consider L{tⁿ} works out to be for n>0.

For the second one what is

$$L^{-1} (\frac{1}{s^2+k^2)$$

for the third one, split into partial fractions.

would this be right for the third one

A/s-1 + B/s+1 = s

 

[djeitnstine]

would this be right for the third one

A/s-1 + B/s+1 = s

Yes that's correct.

 

[coomast]

Yes that's correct.

No that is wrong, the right formula is:

$$\frac{s}{(s-1)(s+1)}=\frac{A}{s-1}+\frac{B}{s+1}$$

from which you need to determine A and B.

coomast

 

[djeitnstine]

No that is wrong, the right formula is:

$$\frac{s}{(s-1)(s+1)}=\frac{A}{s-1}+\frac{B}{s+1}$$

from which you need to determine A and B.

coomast

Oops I thought he multiplied it out and set it equal to s