MATH 3200-002: ELEMENTARY DIFFERENTIAL EQUATIONS
Fall 1996, University of Colorado Denver
Instructor: Prof. Andrew V. Knyazev

Test 4 (Final)

Find the most complete answer.

1. Solve Find
   1. 0
   2. 1
   3. e
   4. -e
   5. None
2. Solve

   

   Find y'(1):

   1. 0
   2. 1
   3. -1
   4. e
   5. None
3. Solve

   

   Find x(-1):

   1. 3
   2. 1
   3. -1
   4. -3
   5. None
4. Find an annihilator of x - x cos x
   1. 
   2. 
   3. 
   4. 
   5. None
5. Find a general solution to y" + 2 y' + y = 2x
   1. 
   2. 
   3. 
   4. 
   5. None
6. Find such number c that {1, i, -i} are all eigenvalues of the matrix

   

   1. 1
   2. 2
   3. 3
   4. 4
   5. None
7. Find a general solution of the system

   

   1. 
   2. 
   3. 
   4. 
   5. None
8. Find a general solution of the system

   

   1. 
   2. 
   3. 
   4. 
   5. None

Answers: 1-(e), 2-(a), 3-(b), 4-(a), 5-(e), 6-(a), 7-(e), 8-(d)