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Compute the answer of the following problem

Problem- Find the characteristic equation and use it to find either a general solution or a solution of the initial-value problem. If the characteristic equation method is not applicable, explain why.

xy' - 6y = 0

How do you solve this one? The x is throwing me off. Please do a step by step solution if possible, thanks!

I need help to find the characteristic equation of above problem.

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