Transform the differential equation Therefore Y = into an algebraic equation by taking the Laplace transform of each side. Use Y for the Laplace transform of y, (not Y(s)). 0-0 +²7 +3 + 7 + 4 s+8 Taking the inverse Laplace transform we get 2y" +22y" - 98y' - 1078y: y(0) = 0 y (0) = 0 y" (0) = 1 -8t = 6e-

Transform the differential equation Therefore Y = into an algebraic equation by taking the Laplace transform of each side. Use Y for the Laplace transform of y, (not Y(s)). 0-0 +²7 +3 + 7 + 4 s+8 Taking the inverse Laplace transform we get 2y" +22y" - 98y' - 1078y: y(0) = 0 y (0) = 0 y" (0) = 1 -8t = 6e-

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

Transform the differential equation
into an algebraic equation by taking the Laplace transform of each side. Use Y for the Laplace transform of y, (not Y(s)).
=
Therefore
Y
+²7 +
y =
+
s+7
s+8
Taking the inverse Laplace transform we get
-0
2y" +22y" — 98y' — 1078y = 6e-8t
y(0) = 0
y (0) = 0
y" (0) = 1

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