Consider the initial value problem 2xy?=8y, y(?1)=1.?

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Consider the initial value problem 2xy?=8y, y(?1)=1.?

1) Find the value of the constant C and the exponent r so that y=Cx^r is the solution of this initial value problem.

2) Determine the largest interval of the form aa
3) It can happen that the interval predicted by the Fundamental Theorem is smaller than the actual interval of existence. What is the actual interval of existence in the form aa
Please show me the steps on how to solve #1.

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Consider the initial value problem 2xy?=8y, y(?1)=1.?

Consider the initial value problem 2xy?=8y, y(?1)=1.?

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