The differential equation y (x y e² ) = y³ež + æ2? has a solution of the form f(x, y) = ln |x| + C. Find the constant C which satisfies the initial condition y(1) = 1.

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A: I am attaching image so that you understand each and every step.

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A: Given 

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A: We will find the vertical asymptotes if it exists. 

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A: Answer is given below.

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