Lecture 4.pdf - Laplace Transform Lecture 4 Find the...

Info icon This preview shows pages 1–9. Sign up to view the full content.

View Full Document Right Arrow Icon
Laplace Transform Lecture 4
Image of page 1

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Find the inverse Laplace transform for the following ? 𝒔 𝑨 𝒔 ? 𝑨 𝒔 ? ? 𝒔 + ? ? 𝒔 + ? ? 𝒔 𝒔 ? + ?𝟔 𝒔 + ? 𝒔 + ? ? + ?𝟔
Image of page 2
Inverse Laplace transformation: Transformation from s-domain to t-domain Two ways of doing inverse Laplace transformation Using the Table of Laplace transformation Using partial fraction expansion Inverse Laplace transform
Image of page 3

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Where A and B are polynomials, hence partial fraction must be used Based on Laplace table Based on partial fraction
Image of page 4
Partial expansion when F(s) involves distinct poles If the highest degree of the denominator is higher than numerator, then: Take LCM of the RHS to eliminate the denominator. Then substitute s = -1 to obtain a1 or s = -2 to obtain a2.
Image of page 5

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 6
Image of page 7

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 8
Image of page 9
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern