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Consider the first-order differential equation y' = p + y - lny Determine the possible bifurcation points of the differential equation by studying the variation

Consider the first-order differential equation y' = p + y - lny 


Determine the possible bifurcation points of the differential equation by studying the variation of equilibrium points with respect to the real parameter p. Note that you need to include sufficient explanation/justification for your answer. Make a rough sketch of the bifurcation diagram for the differential equation clearly indicating the bifurcation point.

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