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Determine the bifurcation value(s) for the one-parameter family of DEs (with parameter a). Show work. dy/ dt =y2+ay+4Bifurcation value(s): Draw a representative phase line for DEs in each category listed below. For each, include labeled equilibrium points (if any), arrows on the phase line, and identify each equilibrium as stable, unstable, or semi-stable 1. a equal to the bifurcation value 2. a larger than the bifurcation value 3. a smaller than the bifurcation value Sketch a bifurcation diagram representing the phase portraits of this family of DEs as the value of the parameter a is varied.
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Determine the bifurcation value(s) for the one-parameter family of DEs (with parameter a). Show work...
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