MATH 3200-001: ELEMENTARY DIFFERENTIAL EQUATIONS
Fall 1997, University of Colorado at Denver
Instructor: Prof. Andrew V. Knyazev

Final

Find the most complete answer.

1. Solve Find y (1):
   1. 0
   2. 1
   3. 2
   4. -2
   5. None
2. Solve

   

   Find y'(1):

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

   

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

   

   1. 1
   2. 2
   3. 3
   4. Any number will work
   5. None of the above
7. Find a number of independent arbitrary constants in the solution using the operator method for the following system

   

   1. 0
   2. 1
   3. 2
   4. 4
   5. None
8. Find a general solution of the system

   

   1. 
   2. 
   3. 
   4. 
   5. None