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Given the second order initial value problem y" - y - 12y 76(t-1), y(0) = 7, y'(0) = 7 (= Let Y(s) denote the Laplace transform of y. Then Y(N) Taking the inverse Laplace transform we obtain y(t) (7(e^-s+s))/(s^2-s-12) (-20.65e^(-31)+27.87e^(-4t))u(t)

Given the second order initial value problem y" - y - 12y 76(t-1), y(0) = 7, y'(0) = 7 (= Let Y(s) denote the Laplace transform of y. Then Y(N) Taking the inverse Laplace transform we obtain y(t) (7(e^-s+s))/(s^2-s-12) (-20.65e^(-31)+27.87e^(-4t))u(t)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Given the second order initial value problem y" - y - 12y 76(t-1), y(0) = 7, y'(0) = 7 (= Let Y(s) denote the Laplace transform of y. Then Y(N) Taking the inverse Laplace transform we obtain y(t) (7(e^-s+s))/(s^2-s-12) (-20.65e^(-31)+27.87e^(-4t))u(t)
Transcribed Image Text:Given the second order initial value problem y" - y - 12y 76(t-1), y(0) = 7, y'(0) = 7 (= Let Y(s) denote the Laplace transform of y. Then Y(N) Taking the inverse Laplace transform we obtain y(t) (7(e^-s+s))/(s^2-s-12) (-20.65e^(-31)+27.87e^(-4t))u(t)
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