Solve: `(x^3-3x y^2)dx=(y^3-3x^2y)dydot`

Explanation

To solve the differential equation \((x^3 - 3xy^2)dx = (y^3 - 3x^2y)dy\), we can follow these steps:

### Step 1: Rewrite the equation
We start with the given equation:
\[ (x^3 - 3xy^2)dx = (y^3 - 3x^2y)dy \]
We can rewrite it in the form of \(\frac{dy}{dx}\):
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