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  3. given dy/dx = y^2 ? 4y + 4 (a) sketch the phase li

Given dy/dx = y^2 ? 4y + 4 (a) Sketch the phase line (portrait) and classify...

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Advance Math

Given dy/dx = y^2 ? 4y + 4

(a) Sketch the phase line (portrait) and classify all of thecritical (equilibrium) points. Use arrows to indicated the flow onthe phase line (away or towards a critical point).

(b) Next to your phase line, sketch the graph of solutionssatisfying the initial conditions: y(0)=0, y(0)=1, y(0)=2, y(0)=3,y(0)=4.

(c) Find lim y(x) x?? for the solution satisfying the initalcondition y(0) = 2.

(d) State the solution to the initial-value problem dy/dx = y^2? 4y + 4, y(0) = 2.

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