Consider the following differential equations: dy/dt = y^3(y-1) dy/dt = y^2 - 5y + 6 Analyze the differential equations using

Question

Consider the following differential equations:
dy/dt = y^3(y-1)
dy/dt = y^2 - 5y + 6
Analyze 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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