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Initial value problem : Differential equations: dx/dt = x + 2y dy/dt = 2x + y Initial conditions: x(0)...

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Basic Math

Initial value problem : Differential equations:

dx/dt = x + 2y

dy/dt = 2x + y

Initial conditions:

x(0) = 0

y(0) = 2

a) Find the solution to this initial value problem

(yes, I know, the text says that the solutions are

x(t)= e^3t - e^-t and y(x) = e^3t + e^-t

and but I want you to derive these solutions yourself using oneof the methods we studied in chapter 4) Work this part out on paperto hand in.

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