The exam will be on Tuesday, November 23, 1999, from 9:30 am to 10:45 am. It will cover Homework Problems 48 through 67. It consists of five problems, each worth 16 points. More precise information on the various problems follows.

1. Solve an initial value problem with a second order differential equation (the characteristic equation has two complex zeros).

2. Use the variations of constants technique exactly as presented in class (showing each step, not using any formula from the book, not using the method of undetermined coefficients etc.) to find one particular solution of an inhomogeneous linear equation of second order.

3. A mass stretches a string and ... (undamped motion).

4. Find three linearly independent solutions of a third order differential equation and calculate their Wronskian.

5. Find three linearly independent solutions of a third order difference equation and calculate their Casoratian.