Aerospace and Mechanical Engineering

Homework 12

B. Goodwine J. Lucey Fall, 2003 |
Issued: December 5, 2003 Due: December 10, 2003 (US) 11 December 2003 (UK) |

- Consider

- Determine the exact solution (10 points).
- Using Euler's method, write a computer program in any language other than a matlab to determine an approximate solution to the equation (20 points).
- Using the fourth order Runge-Kutta method, write a computer program in any language other than matlab to determine an approximate solution to the equation (20 points).
- In addition to submitting your work for the exact solution and
a listing of each program, submit the a figure plotting the exact solution, the solution from
Euler's method and the solution from the fourth order Runge-Kutta
method
*on the same plot*from to (5 points each):

- Consider

- Using Euler's method, write a computer program in any language other than a matlab to determine an approximate solution to the equation (5 points).
- Using the fourth order Runge-Kutta method, write a computer program in any language other than matlab to determine an approximate solution to the equation (5 points).
- In addition to submitting a listing of each program, submit a figure
plotting the solution from
Euler's method and the solution from the fourth order Runge-Kutta
method
*on the same plot*from t=0 to t=10 for (5 points each): - For the same time steps (except for part (c)(i)), submit three plots where the time range is from to (10 points total).
- Explain what happens between and (20 points).

B. Goodwine (

J. Lucey (