Question: Consider the following differential equation for a function x=x(t) :dxdt=t21x1All of the solutions to this equation can be written in which of the following forms?x=-1-2t332t2x=-1-2t332tC2

Consider the following differential equation for a function x=x(t) :dxdt=t21x1All of the solutions to this equation can be written in which of the following forms?x=-1-2t332t2x=-1-2t332tC2 whereC is an arbitrary constant of integration.x=t33tC where C is an arbitrary constant of integration.x=-1-2t332t2Consider again the logistic equation given bydNdt=kN(1-NK)where k,K are positive constants. Using the transformation introduced in the previous question, or otherwise, determine which of the following functions gives the general solution to this equation.K1KCem where C is an arbitrary constant of integration.K1KCe, where C is an arbitrary constant of integration.K1KC, where C is an arbitrary constant of integration.K1CeH, where C is an arbitrary constant of integration.10CMostly cloudySearchesc

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