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Given dy/dx =y(y−3)(1−y)^2 dx (a) Sketch the phase line (portrait) and classify all of the critical...

Given dy/dx =y(y−3)(1−y)^2 dx (a) Sketch the phase line (portrait) and classify all of the critical (equilibrium) points. Use arrows to indicated the flow on the phase line (away or towards a critical point). (b) Next to your phase line, sketch the graph of solutions satisfying the initial conditions: y(0)=0, y(0)=1, y(0)=2, y(0)=3, y(2)=4, y(0)=5.

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