For the dynamical system (a) Calculate the steady state values of y 1 , y 2 .

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For the dynamical systemdy1 dt dy2 dt = y2(1 + y) =Y1()2+3)

(a) Calculate the steady state values of y1, y2.

(b) For each steady state, calculate the eigenvalues and assess its stability.

(c) Provide sketches of the corresponding phase plane plots, indicating clearly their key features.

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