{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Inverse Laplace Transforms - Differential Equations Second...

Info icon This preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Differential Equations Second Quarter SY 0506 ____________________________________________________________________________________________________________ Silva, Alviso and Llacuna – Mathematics Department, MIT 167 Lesson 33 Inverse Laplace Transforms Specific Objectives: At the end of the lesson, the students are expected to: define Inverse Laplace Transform find the inverse Laplace transforms of a function Note: The Table of Laplace transform can be used to find the inverse Laplace transforms If ( ) F s represents the Laplace transform of a function ( ) f t , that is, ( ) { } ( ) L f t F s = then ( ) f t is the inverse Laplace transform of ( ) F s , that is, ( ) { } 1 L F s . { } ) ( ) ( 1 t f s F L = Table of Inverse Laplace Transform 1. 1 1 1 L s = 2. ( ) 1 1 at L e s a = 3. ( ) 1 1 1 , 1,2,3,... 1 ! n n t L n s n = = 4. ( ) ( ) 1 1 1 1 ! n at n t L e n s a = 5. 1 1 ! n n n L t s + = 6. 1 2 2 sin k L kt s k = + 7. 1 2 2 cos s L kt s k = + 8. 1 2 2 sinh k L kt s k = 9.
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
Image of page 2
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