CS/MATH 3414 Assignment #10

Date Assigned: April 22, 2002
Date Due: May 1, 2002

  1. (10 points) Problem 8.1.9 (page 381) of your textbook.

  2. (5 points) Problem 8.1.12 (page 381) of your textbook. We have discussed this problem in class; here, you have to give the final value of x(0.1).

  3. (10 points) Computer Problem 8.1.6 (page 382) of your textbook.

  4. (5 points) Problem 8.3.11 (page 405) of your textbook.

  5. (5 points) Problem 9.1.1 (page 419) of your textbook.

  6. (5 points) Problem 9.2.7(c) (page 426) of your textbook.

  7. (5 points) Problem 10.1.18 (page 445) of your textbook.

  8. (5 points) Problem 10.1.19 (page 445) of your textbook.

    Extra Credit:

  9. (15 points) The differential equation

    x' = 4x - 5e^(-t)

    with initial condition x(0) = 1 is known to be unstable. Verify that this is so. Using MATLAB, plot (i) the true solution, and (ii) the computed solutions from different perturbations of the initial condition at x=0. Use a Taylors series of any suitable order to reveal the instability of this equation.

Return Home