Solve the following differential equation: `(x^3+y^3)dy-x^2y dx=0`

Explanation

To solve the differential equation \((x^3 + y^3) dy - x^2 y dx = 0\), we can follow these steps:

### Step 1: Rewrite the Differential Equation
We start by rewriting the equation in a more manageable form. We can express it as:
\[ (x^3 + y^3) dy = x^2 y dx \]
Now, we can divide both sides by \(dx\) and \(dy\) to obtain:
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