Concept explainers
Consider the initial-value problem
for the motion of a simple harmonic oscillator.
(a)Consider the function
. Under what conditions on
(b) What initial condition
in the yv-p1ane corresponds to this solution.
(c) In terms of k and m, what is the period of this solution?
(d) Sketch the solution curve (in the yv-plane) associated to this solution. [Hint: Consider the quantity
.]
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Differential Equations
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