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)`

Explanation

To verify that the function \( xy = \log y + C \) is a solution to the differential equation \( \frac{dy}{dx} = \frac{y^2}{1 - xy} \), we will follow these steps:

### Step 1: Start with the given function
The function given is:
\[ xy = \log y + C \]

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