Solve the following differential equation: `x(dy)/(dx)=y-xcos^2(y/x)`

Explanation

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

### Step 1: Rewrite the equation
We start with the given equation:
\[ x \frac{dy}{dx} = y - x \cos^2\left(\frac{y}{x}\right) \]
Now, we can divide both sides by \( x \) (assuming \( x \neq 0 \)):
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