Question: Question is as follows: (1 point) Consider the initial value problem 2xy' = 8y, y(2) = 16. 1) Find the value of the constant C

Question is as follows:

Question is as follows: (1 point) Consider the initial value problem 2xy'

(1 point) Consider the initial value problem 2xy' = 8y, y(2) = 16. 1) Find the value of the constant C and the exponent r so that y = Cx' is the solution of this initial value problem. y = Hint: To find r plug y = C x' into the equation and simplify. Then to find C apply the initial condition. help (formulas) The Fundamental Existence Uniqueness Theorem for First Order Linear IVPs states: Given the IVP problem a1(x)y' + day = g(x), y(x0) = yo. assume that 01, dog are continuous on an interval a

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