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Unformatted text preview: are after the general solution x = c 1 u 1 + c 2 u 2 In chapter 2, where we considered a single variable, we had a solution x = ce rt This would suggest that we try the solution 5 x = e t v where is an unknown constant and v is an unknown vector of constants. If we do this and substitute into the differential equation system we have e t v = A e t v eliminating the term e t we have v = Av i.e. ( A I ) v = For a nontrivial solution we require that det( A I ) = 5 Here u = e rt v ....
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This note was uploaded on 12/14/2011 for the course ECO 3023 taught by Professor Dr.gwartney during the Fall '11 term at FSU.
- Fall '11