Verify that every member of the family of functions $\displaystyle y = \frac{\ln x + C}{x}$ is a solution of the differential equation $x^2 y' + x y =1.$ Answer the following questions.

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1. Find a solution of the differential equation that satisfies the initial condition $y(3)= 6.$
Answer: $y =$

2. Find a solution of the differential equation that satisfies the initial condition $y(6)= 3.$
Answer: $y =$

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