In determining the concentration of a chemical in a system consisting of two compartments separated by a membrane, we get the system of equations a' = = -5x + 3x y' = 3x – 5y subject to the conditions x(0) = 0 and y(0) = 0. (Here, x and y represent the masses of the chemical in compartments 1 and 2 , respectively). Solve the initial value problem stated above and describe the behavior of the solution as t o.

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Q: 3. Calculate y at x = 1 and x = 2 in the following system; y"=10y' +5xy +10x +5 y (0)=10, y'(3)=20

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