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Find y(t) solution of the initial value problem y" + 6y +9y= u(t-3) e³(t-3), y(0) = 0, y'(0) = 0, where u(t) is the step function. 1 y(t) = -te y(t) = u(t − 3) / (t – y(t) = e 6 - 1 6 (t-3) e³(t-3) -3t 1 36 te-3t

Find y(t) solution of the initial value problem y" + 6y +9y= u(t-3) e³(t-3), y(0) = 0, y'(0) = 0, where u(t) is the step function. 1 y(t) = -te y(t) = u(t − 3) / (t – y(t) = e 6 - 1 6 (t-3) e³(t-3) -3t 1 36 te-3t

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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Find y(t) solution of the initial value problem where u(t) is the step function. y" + 6y +9y= u(t-3) e³(t-3), y(0) = 0, y'(0) = 0, y(t) = -te-3t y(t) = u(t − 3) = (t − 3) e³(t–3) y(t) = — e³t - 3t 6 y(t) = 1 36 e³t 1 6 1 36 -3t - e-3t 1 36 te-3t 1 -3t
Transcribed Image Text:Find y(t) solution of the initial value problem where u(t) is the step function. y" + 6y +9y= u(t-3) e³(t-3), y(0) = 0, y'(0) = 0, y(t) = -te-3t y(t) = u(t − 3) = (t − 3) e³(t–3) y(t) = — e³t - 3t 6 y(t) = 1 36 e³t 1 6 1 36 -3t - e-3t 1 36 te-3t 1 -3t
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