y' 2y = -8 cos t - 2 sint ; y'() = 0 y( = 1, L {y"}_L {y'} = -8L {cost } - 2L [sint} Sys)-5Y101-y'(o)-(575)-(0)-27(5) 13. y" - -85 S²+1 - 2 S²+1

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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solve by using Laplace transforms
y(0)=1 , y'(0)=0

13. y" y' - 2y = -8 cos t - 2 sint ;
y() = 1,
y' () = 0
L {y" } _ L { y'} = -8 L { cost} - 2h { sint}
Sys)-SY(0)-y'(o)-(Sys)-y(0))-27(5)
-
-85
S²+1
2
S²+1
Transcribed Image Text:13. y" y' - 2y = -8 cos t - 2 sint ; y() = 1, y' () = 0 L {y" } _ L { y'} = -8 L { cost} - 2h { sint} Sys)-SY(0)-y'(o)-(Sys)-y(0))-27(5) - -85 S²+1 2 S²+1
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