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

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 one of the methods we studied in chapter 4) Work this part out on paper to hand in.

Solutions

Expert Solution

milcah answered 2 years ago
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