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Consider the linear first order system [16] x′ = x + y (1) y′ =4x−2y. (2)...

  1. Consider the linear first order system [16]

    x′ = x + y (1) y′ =4x−2y. (2)

    (a) Determine the equilibria of System (1)-(2) as well as their stability. [6]

    (b) Compute the general solution of System (1)-(2). [6]

    (c) Determine the solution of the initial value problem associated with System (1)-(2), with initial condition x(0) = 1, y(0) = 2.

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