The initial value problem which describes the motion of a certain undamped harmonic oscillator is y" + 4y = 0, y(0) = 4, y'(0) = -6 a) Solve the initial value problem. b) Express your solution in the form A cos(2x - d). Use the formula cos(A - B) = cos A cos B + sin A sin B c) What is the amplitude and period for this motion?
The initial value problem which describes the motion of a certain undamped harmonic oscillator is y" + 4y = 0, y(0) = 4, y'(0) = -6 a) Solve the initial value problem. b) Express your solution in the form A cos(2x - d). Use the formula cos(A - B) = cos A cos B + sin A sin B c) What is the amplitude and period for this motion?
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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The initial value problem which describes the motion of a certain undamped harmonic oscillator is
y" + 4y = 0, y(0) = 4, y'(0) = -6
a) Solve the initial value problem.
b) Express your solution in the form A cos(2x - d). Use the formula
cos(A - B) = cos A cos B + sin A sin B
c) What is the amplitude and period for this motion?
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