Laplace transform : Solve an I.V.P.
Please see the attached file for the fully formatted problem.
Suppose there was an IVP such as the following:
where
Where and how do you begin to set this problem up to be solved using the Laplace transform? The value y(4)(t) is the fourth derivative of function y(t).
© BrainMass Inc. brainmass.com December 24, 2021, 5:08 pm ad1c9bdddfhttps://brainmass.com/math/calculus-and-analysis/laplace-transform-solve-initial-value-problem-30372
Solution Preview
Hello and thank you for posting your question to Brainmass!
The solution is attached below in two files. the files are identical in content, only differ in format. The first is in MS Word XP Format, while the other is in Adobe pdf format. Therefore you can choose the format that is most suitable to you.
Check out these excellent websites for even more information:
http://mathworld.wolfram.com/LaplaceTransform.html
http://mathworld.wolfram.com/Convolution.html
http://www.sosmath.com/diffeq/laplace/basic/basic.html
http://www.sosmath.com/diffeq/laplace/application/application.html
Suppose there was an IVP such as the following:
where
Where and ...
Solution Summary
An IVP is solved using a Laplace transform. The solution is detailed and well presented. The solution received a rating of "5" from the student who posted the question.