Make sure name and C number are at the top and your code
runs top-down with no errors.
Copy the following preamble into your first cell to ensure all necessary packages
are installed:
import matplotlib.pyplot as plt
import numpy as np
import pandas as pd
import math
1. Chapter 25: Solve the following initial-value problem over the interval from t = 0
to 2 where y(0) = 1. Display all your results on the same graph.
𝑑𝑦
= 𝑦𝑡 3 − 1.5𝑦
𝑑𝑡
a. Analytically
b. Euler’s method with h=0.5
c. Euler’s method with h=0.25
d. Heun’s method with h=0.5
e. Fourth-order Runge Kutta method with h=0.5