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

100

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. Iterate this procedure to find the population 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, depending 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 3.