Table of basic Laplace Transforms

# Table of basic - -cs F s e at cos bt 2 2 b a s a s-e ct f t F s c e at sin bt 2 2 b a s b-δ t c f t e-cs f c)

This preview shows page 1. Sign up to view the full content.

Table of basic Laplace Transforms L { f ( t )} = - = 0 ) ( ) ( dt t f e s F st f ( t ) F ( s ) f ( t ) F ( s ) 1 s 1 u c ( t ) s e cs - t 2 1 s δ ( t ) 1 t n 1 ! + n s n δ ( t - c ) e - cs e at a s - 1 f ′( t ) s F ( s ) - f (0) t n e at 1 ) ( ! + - n a s n f ″( t ) s 2 F ( s ) - s f (0) - f ′(0) cos bt 2 2 b s s + (- t ) n f ( t ) F ( n ) ( s ) sin bt 2 2 b s b + u c ( t ) f ( t - c ) e
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: -cs F ( s ) e at cos bt 2 2 ) ( b a s a s +--e ct f ( t ) F ( s- c ) e at sin bt 2 2 ) ( b a s b +-δ ( t- c ) f ( t ) e-cs f ( c )...
View Full Document

## This note was uploaded on 07/16/2011 for the course MATH 251 taught by Professor Chezhongyuan during the Spring '08 term at Pennsylvania State University, University Park.

Ask a homework question - tutors are online