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Unformatted text preview: z , z = re i , obtain: z 3 , z , 1 /z 2 , and z 4. Obtain all values of 4 2 i , i.e. all complex numbers z such that z 4 =2 i . 5. Consider the following system of ordinary dierential equations (ODEs): d x dt = A x , A = 21 3 ! . (2) (a) Obtain the eigenvalues and the eigenvectors of the matrix A . (b) Obtain the general solution of this equation. (c) Obtain the solution that corresponds to the initial conditions x (0) = (1 ,1), 6. Solve problem 5 for the following system of ODEs: d x dt = A x , A = 12 2 1 ! . (3)...
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This note was uploaded on 02/07/2009 for the course COT 3502 taught by Professor Hawkins during the Spring '08 term at University of Florida.
 Spring '08
 Hawkins

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