Consider the linear non-homogeneous initial value problem, y" + y = Σ (−1) * 8(t − ak), y(t = 0) = 1, y(t = 0) = 0 k=1 where a R with a > 0. Solve for y(t) and sketch the solution for a = π and a = 2π.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T
Question
Consider the linear non-homogeneous initial value problem,
y" + y = Σ (−1) * 8(t − ak), y(t = 0) = 1, y(t = 0) = 0
k=1
where a R with a > 0. Solve for y(t) and sketch the solution for a = π and a = 2π.
Transcribed Image Text:Consider the linear non-homogeneous initial value problem, y" + y = Σ (−1) * 8(t − ak), y(t = 0) = 1, y(t = 0) = 0 k=1 where a R with a > 0. Solve for y(t) and sketch the solution for a = π and a = 2π.
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