Consider the system of equations (a) Is the steady state at (y 1 = 0, y 2

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Consider the system of equationsdyi dt dy2 dt = y(1 + y2) = y1 - y

(a) Is the steady state at (y1 = 0, y2 = 0) stable, unstable, or neutrally stable?

(b) Solve this system corresponding to the initial conditions y1(0) = 0 and y2(0) = 1.

(c) Explain why the steady state solution to part (b) does not agree with the answer to part (a).

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