Inverse Laplace Transforms

Inverse Laplace Transforms - Differential Equations Second...

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Unformatted text preview: 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....
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Inverse Laplace Transforms - Differential Equations Second...

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