problem 1 25 pts use the ae5031_hmw1_1 m code to solve the ode df dt f
Problem 1. (25 pts)
Use the AE5031_HMW1_1.m code to solve the ODE df/dt = -f, f(0) = 1.
a) [5 pts] Find the exact solution.
b) [10 pts] Use the code for various timesteps 4t and calculate the error= | Exact-
Numerical/Exact as a function of the Dt at time time t = 1.
c) [10 pts] Plot the error versus the At on a logarithmic scale to confirm that the
error decreases proportionally to the 4t (1st order accuracy)
*The amount will be in form of wallet points that you can redeem to pay upto 10% of the price for any assignment. **Use of solution provided by us for unfair practice like cheating will result in action from our end which may include permanent termination of the defaulter’s account.Disclaimer:The website contains certain images which are not owned by the company/ website. Such images are used for indicative purposes only and is a third-party content. All credits go to its rightful owner including its copyright owner. It is also clarified that the use of any photograph on the website including the use of any photograph of any educational institute/ university is not intended to suggest any association, relationship, or sponsorship whatsoever between the company and the said educational institute/ university. Any such use is for representative purposes only and all intellectual property rights belong to the respective owners.