math245labprob03

math245labprob03 - 1. d 4 y dt 4 + 9 2 d 3 y dt 3 + 121 16...

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Math245 Computer Problem #3, Fall 2008 circle section: 8am, 9am, 12pm Name: Find the general solution to the following ODEs, and determine whether the solutions are stable (i.e., decay to zero as t → ∞ ) or unstable (i.e., grow unbounded as t → ∞ ). Write your solution in each space below, and submit this sheet.
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Unformatted text preview: 1. d 4 y dt 4 + 9 2 d 3 y dt 3 + 121 16 d 2 y dt 2 + 277 16 dy dt + 195 8 y = 0 . 2. d 4 y dt 4 + 11 2 d 3 y dt 3 + 201 16 d 2 y dt 2 + 373 16 dy dt + 195 8 y = 0 . 3. d 4 y dt 4 + 4 5 d 3 y dt 3 + 41 10 d 2 y dt 2-4 5 dy dt + 17 80 y = 0 ....
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