Set 6 Solutions.pdf

# Set 6 Solutions.pdf - ESE 318-02 Fall 2018 Homework...

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ESE 318-02, Fall 2018 Homework Set #6 (13 problems) Due Tuesday, Oct. 9 1 . Zill 10.2.6 modified. (a) Do the problem as stated. Also (b) write the corresponding decoupled system equation in Y , (c) write the solution for Y , and (d) verify that X = PY matches the solution from (a). 2 . Zill 10.2.8 modified. (a) Do the problem as stated. Also (b) write the corresponding decoupled system equation in Y , and (c) write the solution for Y . 3 . Zill 10.2.24. Hint (to save you factoring): the eigenvalues are 8, -1 and -1. 4 . Zill 10.2.30 modified. Find only the general solution (i.e., ignore initial conditions). 5 . Zill 10.2.36. 6 . Zill 10.2.38. 7 . Zill 10.3.2. Modified problem. (a) Write the corresponding decoupled system equation in Y , (b) write the solution for Y , (c) find X . 8 . Zill 10.3.4. Modified problem. (a) Write the corresponding decoupled system equation in Y , (b) write the solution for Y . Do not solve for X . 9. Consider this system of differential equations.

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3 7 2 1

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t t t t 5 5 2 5 5 1 2 1 1 1 1 2 t t t t
1 t t t t 1

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2 1

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