Prove that if y = y 0 e kt where y 0 and k are constants, then
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Prove that if y = y0ekt where y0 and k are constants, then dy/dt = ky.
(This says that for exponential growth and decay, the rate of change of the population is proportional to the size of the population, and the constant of proportionality is the growth or decay constant.)
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To prove the given statement we need to find the derivative of the function y y0ekt ...View the full answer
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Related Book For 
Calculus With Applications
ISBN: 9780321831101
10th Edition
Authors: Margaret L Lial, Raymond N Greenwell, Nathan P Ritchey
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