The reciprocal |I/k| (which has units of time) of the absolute value of the decay constant k

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The reciprocal |I/k| (which has units of time) of the absolute value of the decay constant k in the decay equation y' = ky can be roughly interpreted as the time for y to fall two-thirds of the way from the initial value y0 to the limiting value 0. Show why this is true and illustrate with a figure.
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Differential Equations and Linear Algebra

ISBN: 978-0131860612

2nd edition

Authors: Jerry Farlow, James E. Hall, Jean Marie McDill, Beverly H. West

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