Find an application that results in an autonomous 1st order ODE that can be useful in your chosen field of study.
a) Explain how or why the equation applies to your field of study.
b) Provide the phase-portrait for your equation.
c) Provide the slope-field
d) Using an initial-value, estimate the value of the function at a chosen value to the IVP using Euler's Method and a step-size of ℎ=0.1.
e) Solve the IVP using methods from Chapter 2.Use your solution to find the actual value of the function at the same chosen value used in part d.
f) Comparing your answers for d and e,calculate the absolute error and the percentage error.