How to write the code for Exponential Growth

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?

Answer 1

[Jonas Allgeier]

C = 4e6;
k = log(3)/30;
t = 45;
y = C*exp(k*t);

[Star Strider]

It is not appropriate to provide complete code for homework problems. Give hints instead.