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6 Nov 2019
Solutions should show all of your work, not just a single fir al answer 1. We consider the differential equation dy (Hre the independent variable is t.) K for constant K' satisfies the differential udt (a) Find all constant solutions. That is, ify equation, what does K need to be? ) Show every function of the form pit) , where C is a constant, is a solution of the differential equation. I t i a function described by part (b), what can you say about the loug-term (ec) If vit) is a function described by part (b), what can you say about the long-term behavior lim y(t)? Show transcribed image text
Solutions should show all of your work, not just a single fir al answer 1. We consider the differential equation dy (Hre the independent variable is t.) K for constant K' satisfies the differential udt (a) Find all constant solutions. That is, ify equation, what does K need to be? ) Show every function of the form pit) , where C is a constant, is a solution of the differential equation. I t i a function described by part (b), what can you say about the loug-term
(ec) If vit) is a function described by part (b), what can you say about the long-term behavior lim y(t)?
Show transcribed image text Keith LeannonLv2
6 Nov 2019