MTR_ 500_HW 4 - point at (0,0). a) x’=1-2xy y’=2xy-y b)...

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MTR 500 HW 4 1)Solve the system of equation using variations of parameters. a) [ ] [ ] 4 1 1 - 1 1 1 1 - + = x X b) t cos e y - x t + = dt dx t dt dy sin e - y x t + = c) [ ] + = - - t t e x X 3 1 4 - 3 2 1 2) Classify each critical point of the given plane autonomous system as a stable node, a stable spiral point, an unstable spiral point, an unstable node, or a saddle
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Unformatted text preview: point at (0,0). a) x’=1-2xy y’=2xy-y b) x’= x 2 - y 2 – 1 y’=2y c) x’=y- x 2 +2 y’=x 2 - y 2 d) x’=xy-3y-4 y’= y 2 - x 2...
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This note was uploaded on 02/14/2010 for the course CHE NGN500 taught by Professor Ghaleb during the Spring '10 term at American Dubai.

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