Question: Please Make Sure The Answer is Correct And Clearly Visible ? Q.1 (a) Consider the family of differential equations 3 = a1: + sins: Where

Please Make Sure The Answer is Correct And Clearly Visible

Q.1 (a) Consider the family of differential equations 3" = a1: + sins: Where a is a param eter. (a) Sketch the phase line when a. = 0. (b) Use the graphs of as: and .9in to determine the qualitative behavior of all of the bifurcations that occur as a increases from 1 to 1. (c) Sketch the bifurcation diagram for this family of differential equations. (07)

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