- #1
Patton84
- 2
- 0
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)
F(s)=24/s^5
F(s)= 4/[((s-2)^2)+25
F(s)= s/(s-1)(s+1)
rock.freak667 said:For the first one, consider L{tn} works out to be for n>0.
For the second one what is
[tex]L^{-1} (\frac{1}{s^2+k^2)[/tex]
for the third one, split into partial fractions.
Patton84 said:would this be right for the third one
A/s-1 + B/s+1 = s
djeitnstine said:Yes that's correct.
coomast said:No that is wrong, the right formula is:
[tex]\frac{s}{(s-1)(s+1)}=\frac{A}{s-1}+\frac{B}{s+1}[/tex]
from which you need to determine A and B.
coomast
The "HELP" Inverse Laplace Transform is a mathematical technique used in engineering and physics to find the inverse Laplace transform of a function. It stands for Heaviside Expansion of Laplace Procedure and was developed by English mathematician Oliver Heaviside.
The "HELP" Inverse Laplace Transform involves using a series of partial fraction expansions and a table of known Laplace transforms to find the inverse Laplace transform of a function. The technique is particularly useful for functions with repeated poles.
The "HELP" Inverse Laplace Transform allows for a relatively straightforward method of finding the inverse Laplace transform of a function, even for more complex functions. It can also be used to solve differential equations and is a useful tool in control theory and signal processing.
One limitation of the "HELP" Inverse Laplace Transform is that it can only be used for rational functions, meaning that the function must be a ratio of two polynomials. It also requires knowledge of the table of known Laplace transforms, which can be time-consuming to reference.
The "HELP" Inverse Laplace Transform is used extensively in engineering and physics to solve problems involving differential equations and transfer functions. It is also used in fields such as electronic circuit design, control systems, and signal processing to analyze and design systems.