Problem:
I really want you to sent me the maple cod not only the answer in word you do not have to copy anything in word just do it in maple and send to me
Consider the following (IVP) logistic model
p' = 10p(1-p) with p(0)=0.1
1. Solve this IVP and graph the solution over the interval [0, 10].
2. Write down the Euler approximation with step size h.
3. Write down the Improved Euler approximation with step size h.
4. Compute and plot the first 100 points of the Euler method for h=0.1, 0.18, 0.23, 0.25, 0.26, 0.28, and 0.3. Discuss your findings.
5. Beginning at h=0.18, compute the values of the first 200 Euler approximations and record the next 30 values. Increase h by 0.001 and repeat this process until h=0.30. Plot the diagram and compare with 4.
6. Redo 5 but use the Improved Euler method instead. Discuss your findings.
7. Redo 6 until h=0.40. Discuss your findings.