practice2(2) - t 2 t 2 t 2 de±ned for t ∈ R linearly...

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Practice Exam 2: MAP 4305 * 1. Find the positive eigenvalues and eigenfunctions of the following eigenvalue problem: y ′′ + λy = 0 , y (0) + y (0) = y ( π ) = 0 . 2. Find conditions on f so that the following non-homogeneous BV problem has a solution: y ′′ - y + 3 y = f, y (0) = y ( π ) = 0 3. Are the vector functions 1 1 1 , t t t
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Unformatted text preview: , t 2 t 2 t 2 , de±ned for t ∈ R , linearly independent? If yes, can they be a fundamental solution set of a system ˙ x = A ( t ) x with x ∈ R 3 ? 4. Solve the following IVP: ˙ x = p 1 2 2 1 P x, x (0) = p 1 P * Instructor: Patrick De Leenheer....
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This note was uploaded on 09/12/2011 for the course MAP 4305 taught by Professor Deleenheer during the Summer '06 term at University of Florida.

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