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Find the solution of each of the following problems. Identify the given, required, and the formula to be used. Used the formula given below 2. At any time t, the rate of increase in the area of a culture of bacterial is twice the area of the culture. If the initial area of the culture is 10, then what is the area at time t?

Find the solution of each of the following problems. Identify the given, required, and the formula to be used. Used the formula given below 2. At any time t, the rate of increase in the area of a culture of bacterial is twice the area of the culture. If the initial area of the culture is 10, then what is the area at time t?

Advanced Engineering Mathematics
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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Find the solution of each of the following problems. Identify the given, required, and the formula to be used. Used the formula given below. 2. At any time t, the rate of increase in the area of a culture of bacterial is twice the area of the culture. If the initial area of the culture is 10, then what is the area at time t? 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.
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. 2. At any time t, the rate of increase in the area of a culture of bacterial is twice the area of the culture. If the initial area of the culture is 10, then what is the area at time t? 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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