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Part 1 This is an example of an Undamped Forced Oscillation where the phenomenon of Beats Occurs. Find the solution of the initial value problem: a" + 33.64x = 2 cos(6t), (0) = z'(0) = 0

Part 1 This is an example of an Undamped Forced Oscillation where the phenomenon of Beats Occurs. Find the solution of the initial value problem: a" + 33.64x = 2 cos(6t), (0) = z'(0) = 0

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Part 1 This is an example of an Undamped Forced Oscillation where the phenomenon of Beats Occurs. Find the solution of the initial value problem: x" + 33.64x = 2 cos(6t), r(0) = x'(0) = 0 x(t) = Graph the solution to confirm the phenomenon of Beats. Note that you may have to use a large window in order to see more than one beat. What is the length of each beat? Length = Would you be able to explain why the beats phenomenon occurs for this particular example? Part 2 This is an example of an Undamped Forced Oscillation where the phenomenon of Pure Resonance Occurs. Find the solution of the initial value problem: a" + 9x 30 sin(3t), r(0) = r'(0) 0 x(t) Graph the solution to confirm the phenomenon of Pure Resonance. Part 3 The solution to the Initial value problem +2x'+ 65z 4 cos(8t), (0) = 0, z'(0) = 0 is the sum of the steady periodic solution r sp and the transient solution rtr. Find both rsp and rtr. Isp = Itr =
Transcribed Image Text:Part 1 This is an example of an Undamped Forced Oscillation where the phenomenon of Beats Occurs. Find the solution of the initial value problem: x" + 33.64x = 2 cos(6t), r(0) = x'(0) = 0 x(t) = Graph the solution to confirm the phenomenon of Beats. Note that you may have to use a large window in order to see more than one beat. What is the length of each beat? Length = Would you be able to explain why the beats phenomenon occurs for this particular example? Part 2 This is an example of an Undamped Forced Oscillation where the phenomenon of Pure Resonance Occurs. Find the solution of the initial value problem: a" + 9x 30 sin(3t), r(0) = r'(0) 0 x(t) Graph the solution to confirm the phenomenon of Pure Resonance. Part 3 The solution to the Initial value problem +2x'+ 65z 4 cos(8t), (0) = 0, z'(0) = 0 is the sum of the steady periodic solution r sp and the transient solution rtr. Find both rsp and rtr. Isp = Itr =
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