Unformatted text preview: Homework assignment 3
Due date: December 4, 2006. 1. Find the matrix exponentials of the following matrices (Don't use software for your calculations!): 0 1 1 0 1 , 1 0 1 , 1 0 1 1 0 1 1 0 0 0 1 1 0 0 0 1 1 0 0 0 0 1 1 0 0 0 1 1 0 0 0 1 0 0 0 0 0 1 0 0 , 0 0 1 0 0 , 0 0 1 0 0 . 0 0 0 1 0 0 0 0 1 1 0 0 0 1 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 2. Solve the following IVP: x= 3. Do problem 12.5 # 17. 4. Show that the following system does not have nonconstant periodic solutions in the region D: x = y where D = {(x, y)  2x2 + y 2 < 7}. 3x + 2y  xy 2 1 1 1 , x(0) = x+ cos(t) 0 2 1 0 = x + 4y  2x2 y, MAP 4305; Instructor: Patrick De Leenheer. 1 ...
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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.
 Summer '06
 DeLeenheer

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