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Consider the following differential equations:dy/dt = y^3(y-1)dy/dt = y^2 - 5y + 6Analyze the differential equations using the qualitative-graphical approach:(a) Draw the phase line.(b) Identify

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Consider the following differential equations:dy/dt = y^3(y-1)dy/dt = y^2 - 5y + 6Analyze the differential equations using the qualitative-graphical approach:(a) Draw the phase line.(b) Identify the stationary point/s.(c) Analyze the dynamic stability of the stationary points.

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