Show that the differential equation `(x^(2)+xy)dy=(x^(2)+y^(2))dx` is homogenous and solve it.

Explanation

To solve the differential equation \((x^2 + xy) dy = (x^2 + y^2) dx\), we will follow the steps outlined below.

### Step 1: Rewrite the Differential Equation
We start by rewriting the given differential equation in the standard form:
\[ \frac{dy}{dx} = \frac{x^2 + y^2}{x^2 + xy} \]

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