Question: (a) Find an implicit solution of the initial-value problem dy/dx = (y 2 - x 2 )/xy, y(1) = -2. (b) Find an explicit solution

(a) Find an implicit solution of the initial-value problem

dy/dx = (y² - x²)/xy, y(1) = -√2.

(b) Find an explicit solution of the problem in part (a) and give the largest interval I over which the solution is defined. A graphing utility may be helpful here.

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