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How to write the code for Exponential Growth

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Omar Al-Ali
Omar Al-Ali on 2 Mar 2020
Commented: Star Strider on 2 Mar 2020
Recall that a variable y satisfies exponential growth if it satisfies the differential equation y ' = k * y (where k > 0). The solution to this differential equation is y = C * e^( k * t ), where C represents the initial value of y at time t = 0. Typically the value of k is found from knowing the value of y at some other time t.
Use this information to solve the following: A bacteria population starts with 4 million bacteria and triples every 30 minutes. How many bacteria are present after 45 minutes?


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Answers (1)

Jonas Allgeier
Jonas Allgeier on 2 Mar 2020
C = 4e6;
k = log(3)/30;
t = 45;
y = C*exp(k*t);

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Star Strider
Star Strider on 2 Mar 2020
It is not appropriate to provide complete code for homework problems. Give hints instead.

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