Math 3200 Spring 1997 Test 2
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. Problem 1 and every subproblem in problems 2 and 3 are worth 4 points each.

1. Determine if the set of functions is linearly dependent or independent.
2. Solve the initial value problem y''-4y=x, y(0)=0, y'(0)=4
   1. Solve the homogeneous problem
   2. Find a particular solution and the general solution of the non-homogeneous problem
   3. Apply the initial conditions
3. Find a general solution of the differential equation
   1. Solve the homogeneous problem
   2. Find a particular solution and the general solution of the non-homogeneous problem

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