Solve the following differential equation: `\ (y^2-2x y)dx=(x^2-2x y)dy`

Explanation

To solve the differential equation \((y^2 - 2xy)dx = (x^2 - 2xy)dy\), we will follow these steps:

### Step 1: Rewrite the equation
We start with the given equation:
\[ (y^2 - 2xy)dx = (x^2 - 2xy)dy \]
We can rearrange this to express \(\frac{dy}{dx}\):
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