Find the solution of each of the following problems. Identify the given, required, and the formula to be used. Used the formula given below 10. A bacterial population B is known to have a rate of growth proportional to itself. If between noon and two in the afternoon the population triples, at what time, no controls being exerted, should B becomes 100 times? Exponential Growth and Decay • If y is a differentiable function of t, such that y > 0 and dy/dt = ky for some constant k, then: A = Pert y = Cekt P(t) = Pekt P is called the initial value of P(t) and k is called the constant of proportionality. You get a growth equation when k> 0 and a decay equation when k < 0.
Find the solution of each of the following problems. Identify the given, required, and the formula to be used. Used the formula given below 10. A bacterial population B is known to have a rate of growth proportional to itself. If between noon and two in the afternoon the population triples, at what time, no controls being exerted, should B becomes 100 times? Exponential Growth and Decay • If y is a differentiable function of t, such that y > 0 and dy/dt = ky for some constant k, then: A = Pert y = Cekt P(t) = Pekt P is called the initial value of P(t) and k is called the constant of proportionality. You get a growth equation when k> 0 and a decay equation when k < 0.
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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Transcribed Image Text:Find the solution of each of the following problems. Identify the given, required, and the formula to be used.
Used the formula given below
10. A bacterial population B is known to have a rate of growth proportional to itself. If between noon and two in
the afternoon the population triples, at what time, no controls being exerted, should B becomes 100 times?
Exponential Growth and Decay
• If y is a differentiable function of t, such that y
> 0 and dy/dt = ky for some constant k, then:
A = Pert
y = Cekt
P(t) = Pekt
• P, is called the initial value of P(t) and k is called the
constant of proportionality. You get a growth equation
when k> 0 and a decay equation when k < 0.
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