-2 4y" +9y" - 196y - 441y = e-²¹ y(0) = 0 y (0) = 0 y" (0) = 1 into an algebraic equation by taking the Laplace transform of each side. Use Y for the Laplace transform of y, (not Y(s)). Transform the differential equation Therefore Y = || + Taking the inverse Laplace transform we get y = | 3+7+[ s+2

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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-2
4y" +9y" - 196y - 441y = e-²¹
y(0) = 0
y (0) = 0
y" (0) = 1
into an algebraic equation by taking the Laplace transform of each side. Use Y for the Laplace transform of y, (not Y(s)).
Transform the differential equation
Therefore
Y =
||
+
Taking the inverse Laplace transform we get
y =
| 3+7+[
3+2
Transcribed Image Text:-2 4y" +9y" - 196y - 441y = e-²¹ y(0) = 0 y (0) = 0 y" (0) = 1 into an algebraic equation by taking the Laplace transform of each side. Use Y for the Laplace transform of y, (not Y(s)). Transform the differential equation Therefore Y = || + Taking the inverse Laplace transform we get y = | 3+7+[ 3+2
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