Show that `(3xy + x^(2)) dy + (y^(2) + xy)dx = 0` is homogeneous differential equation. Also find its general solution.

Explanation

To show that the given differential equation \( (3xy + x^2) dy + (y^2 + xy) dx = 0 \) is homogeneous and to find its general solution, we can follow these steps:

### Step 1: Rewrite the Equation
We start with the equation:
\[ (3xy + x^2) dy + (y^2 + xy) dx = 0 \]
Rearranging gives us:
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