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6. Consider the autonomous differential equation [frac{d y}{d t}= (y-1)^{2}(y-5) ] (a) Determine the equilibrium (constant function) solutions. (b) Classify each of these equilibrium
6. Consider the autonomous differential equation \[\frac{d y}{d t}= (y-1)^{2}(y-5) \] (a) Determine the equilibrium (constant function) solutions. (b) Classify each of these equilibrium solutions as either stable, unstable, or semi-stable. (c) Sketch solution curves which correspond to , and y(0) = 0, y(0) = 3 y(0) = 8
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