This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: = β« β β1 ) ( , ) ( dt t t t This corresponds to a unit impulse at t = 0. We can define a unit impulse at an arbitrary point by finding ( 29 t t. Note that there is not a nice βblandβ function satisfying this set of equations (we didnβt see anything like this in Calculus I). This is an example of a generalized function . We will define the Laplace transform as follows: { } { } lim lim lim lim lim lim lim lim lim ) ( lim ) ( β β β β β β β β β β = = = = = = = = ==Ο t t d L t t L So we have { } _ __________ ( =t t L and { } ________ __________ lim ) ( = = β t t L . Example: ) ( , 1 ) ( ); 3 ( 20 = β² ==β² β² y y t y y...
View
Full
Document
This note was uploaded on 01/13/2012 for the course MATH 2914 taught by Professor Pamelasatterfield during the Fall '10 term at NorthWest Arkansas Community College.
 Fall '10
 PamelaSatterfield
 Differential Equations, Equations

Click to edit the document details