Find the Laplace transform of y(t) where y is defined by the initial value prob y''+18y'+81y=0;y(0)=16y'(0)=19
Favorites|Homepage
Subscriptions | sitemap
HOME > Mathematics > Find the Laplace transform of y(t) where y is defined by the initial value prob y''+18y'+81y=0;y(0)=16y'(0)=19

Find the Laplace transform of y(t) where y is defined by the initial value prob y''+18y'+81y=0;y(0)=16y'(0)=19

[From: ] [author: ] [Date: 11-04-25] [Hit: ]
......
Find the Laplace transform of y(t) where y is defined by the initial value problem:

y''+18y'+81y=0

y(0)=16

y'(0)=19

Use s as the independent variable for the transformed function.

L(y(t))=?

-
Apply L to both sides:
[s^2 L(y(t)) - 16s - 19] + 18 [s L(y(t)) - 16] + 81 L(y(t)) = 0
==> (s^2 + 18s + 81) L(y(t)) - 16s - 307 = 0
==> L(y(t)) = (16s + 307)/(s^2 + 18s + 81).

I hope this helps!
1
keywords: the,Find,is,defined,transform,039,initial,by,value,of,18,where,prob,Laplace,81,16,19,Find the Laplace transform of y(t) where y is defined by the initial value prob y''+18y'+81y=0;y(0)=16y'(0)=19
New
Hot
© 2008-2010 http://www.science-mathematics.com . Program by zplan cms. Theme by wukong .