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Verify that the given functions (explic...

Verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation:`x y = log y + C` : `yprime=(y^2)/(1-x y)(x y!=1)`

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To verify that the function \( x y = \log y + C \) is a solution to the differential equation \( y' = \frac{y^2}{1 - x y} \) (where \( x y \neq 1 \)), we will follow these steps: ### Step 1: Differentiate the given function We start with the function: \[ x y = \log y + C ...
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