Math 3200 Fall 1996 Test 1
Jan Mandel

In-class, books and notes OK but no calculators 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. For each of the following equations, determine (a) if the equation is ordinary or partial (b) what is the order of the equation (c) if the equation is linear or nonlinear

   

2. 
3. 
4. For each of the following equations, find all values of the constants (A,B,C) for which the given function or equation is a solution of the differential equation:

   ,

5. ,
6. Find the general solution of the following equations and, if an initial values is given, solve the initial value problems:

   

7. , y(0)=2
8. (x+y) dx - x dy = 0, y(1)=1
9. 
10. 

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