This is question for models for population growth where P(t) is the population as a function of time, and r is the reproductive rate.

with the Malthusian model:

dP dt = rP P(0) = P0, where P(t) is the population as a function of time, and r is the reproductive rate.

r = 0.693 and P0 = 2,

the time interval is to be t ∈ [0, 10]

How do I solve using the “ode45” function in MATLAB, over the time interval [0, 10]. and plot the solution P(t) versus t and use a “for” loop, and Euler’s method with a time-step h = 0.001 and plot the solution?

[Dyuman Joshi]

This looks like a HW question. Show what have you tried yet and ask a specific question.

If you need help starting, search for "ode45" documentation.

[Suman Sahu]

This is a very similar question to one already answered. You can go through this answer to get an idea for how to proceed. How do i code linear Ordinary differentiation? - MATLAB Answers - MATLAB Central (mathworks.com)