Math 3200 Spring 1996 Test 2
Jan Mandel

In-class, but you can use anything you wish: notes, books, calculators,... The only thing that is forbidden is help by another person during this test. Please number all pages and write your name and the total number of pages on top of page one. Each numbered problem is worth 4 points.

1. Solve the differential equation . (Implicit form of solution is enough.)

2. Solve the initial value problem , . Graph the solution.

3. A can at room temperature of is placed in a cooler with temperature . After 30 minutes, the can is at . When will the can be at ?

4. Verify that the set is a fundamental set of solutions of the equation .

5. Find the general solution of the differential equation .

6. Find the general solution of the differential equation .

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