Interpretation of 1/k The reciprocal |1/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. HINT: Evaluate the solution at t = |1/k|.
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