HW5s - ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) 2 2...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
Background image of page 1

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

View Full DocumentRight Arrow Icon
Background image of page 2
Background image of page 3

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

View Full DocumentRight Arrow Icon
P14.6-1: on Page 667 of the textbook Solve the following differential equations using Laplace transform (a) () () () t t i dt t di cos = + with initial condition: ( ) . 1 0 = i (b) () () () 0 2 3 2 2 = + + t v dt t dv dt t v d with initial condition: ( ) () . 1 0 0 = = = v dt t dv t Solution: (a) Taking Laplace transform to the equation, we have () () () () () () () () 1 2 1 1 2 1 1 2 1 1 1 1 1 1 1 0 2 2 2 2 2 2 + + + + + = + + + + = + = + + = + s s s s s s s s s I s s s I s sI s s s I i s sI Using inverse Laplace transform, we have () () () () () ( ) t u t t t u e t i t sin cos 2 1 2 1 + + = (b)
Background image of page 4
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) 2 2 1 3 2 3 4 2 1 3 1 2 3 2 2 2 + + + = + + + = = + + = + + = s s s s s s V s V s sV s s V s s V v s sV dt t dv sv s V s t Using inverse Laplace transform, we have ( ) ( ) ( ) t u e e t v t t 2 2 3 = ....
View Full Document

This note was uploaded on 04/18/2008 for the course ECE 2040 taught by Professor Yili during the Fall '08 term at Georgia Institute of Technology.

Page1 / 4

HW5s - ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) 2 2...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online