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

Explanation

To solve the given differential equation and show that it is homogeneous, we will follow these steps:

### Step 1: Rewrite the Differential Equation
The given differential equation is:
\[ x^2 \frac{dy}{dx} = x^2 + xy + y^2 \]

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