Question: Exercise 2. Write code that will use Euler's method to simulate the differential equation N' = 0.2N(1 - N with the initial condition N(0) =

Exercise 2. Write code that will use Euler's method to simulate the differential equation N' = 0.2N(1 - N with the initial condition N(0) = 10 and a step size of h = 0.1. You will probably want to follow the steps below. 1. Write code that performs one step of Euler's method, without iteration. 2. Find out how many steps you will need to take to get to t = 100, given the step size. 3. Iterate your procedure for the desired number of steps to find the popu- lation value at t = 100. (It should be approximately 99.99.) Your final program should store all the intermediate values of N in a list but, de- pending on your approach, you may find it easier to start without this. HINT: What parts of your code need to change from one step to the next? You may want to review Lab 5
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