The discussion revolves around finding the inverse Laplace transform of rational functions, specifically focusing on expressions like (s^2 - 5) / (s^3 + 4s^2 + 3s) and (3s) / (s + 1)^4. Participants are exploring methods for simplifying the expressions and applying techniques such as partial fraction decomposition.
The discussion includes various approaches to the problems, with some participants expressing uncertainty about their methods. There is acknowledgment of the complexity involved in finding coefficients for partial fractions, and suggestions for further exploration of values to solve for these coefficients have been made. No explicit consensus has been reached, but participants are engaging with the problems constructively.
Participants are working under the constraints of homework assignments, which may limit the resources they can use. There is a sense of frustration expressed regarding the difficulty of the problems, particularly in finding coefficients for partial fractions.
drsmoothe2004 said:another problem
1. Homework Statement
3s / (s+1)4
2. Homework Equations
find the inverse laplace
3. The Attempt at a Solution
i used partial fractions to split it up into A/(s+1) + B/(s+1)2 +c/(s+1)3 +D/(s+1)4
which in turn gives me A(s+1)3 + B(s+1)2 + C(s+1) + D = 3s
i plugged in s=-1 to get D=-3, i don't know how to find A, B or C (sad i know) maybe its just a late night and my brain isn't working well because i can't seem to figure it out
Count Iblis said:3s = 3(s+1) - 3