# 4_5a - Solutions 4.5-Page 311 Problem 3 Find the inverse...

This preview shows pages 1–3. Sign up to view the full content.

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

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Solutions 4.5-Page 311 Problem 3 Find the inverse Laplace transform the function. Then sketch the graph of . ) ( t f f 2 ) ( + = − s e s F s Theorem 1 states that { } ( ) ) ( ) ( 1 a t f a t u s F e as − − = − − L . For this problem, 2 1 ) ( , 1 + = = s s F a . Therefore ( ) 1 2 1 − = + − − f t u s e s L ) 1 ( − t . From Fig.4.1.2 on pg.268, corresponding to ) 1 ( − t f 2 1 ) ( + = s s F ) 1 ( = − e t f is . ) 1 ( 2 − − t Therefore ) 1 ( 2 1 1 ) ( 2 − − − − = + t s e t u s e L The graph can be found in the solution section of the textbook (p. 725). Problem 5 Find the inverse Laplace transform the function. Then sketch the graph of . ) ( t f f 1 ) ( 2 + = − s e s F s π Theorem 1 states that { } ( ) ) ( ) ( 1 a t f a t u s F e as − − = − − L . For this problem, 1 1 ) ( , 2 + = = s s F a π . Therefore ( ) ) ( π π − t f 1 2 1 π − = + − − t u s e s L . From Fig.4.1.2 on From Fig....
View Full Document

## This note was uploaded on 06/06/2011 for the course EGM 3311 taught by Professor Haftka during the Spring '11 term at University of Florida.

### Page1 / 5

4_5a - Solutions 4.5-Page 311 Problem 3 Find the inverse...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online