Solve: `(x+y)^2(dy)/(dx)=a^2`

Explanation

To solve the differential equation \((x+y)^2 \frac{dy}{dx} = a^2\), we will follow these steps:

### Step 1: Rearranging the Equation
We start by rearranging the equation to isolate \(\frac{dy}{dx}\):
\[ \frac{dy}{dx} = \frac{a^2}{(x+y)^2} \]

...