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Unformatted text preview: Consider the following system of ordinary differential equations (ODE's) for x 1 t and x 2 t which can be shown to arise from the flow and mixing of water with salt between two interconnected tanks: d dt x 1 x 2 = − 1 10 3 40 1 10 − 1 5 x 1 x 2 with initial condition x 1 x 2 = − 17 − 21 . (10 Points) Find the particular solutions for x 1 t and x 2 t that satisfy the above system of ODE's and the initial condition, by using the matrix method based on eigenvalues/eigenvectors or any other analytical method of your choice....
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This note was uploaded on 08/31/2010 for the course ENGRMAE 140 taught by Professor Staff during the Fall '08 term at UC Irvine.
 Fall '08
 staff

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