Solve the following differential equations: `y/x cos(y/x)dx-{x/ysin(y/x)+cos(y/x)}dy=0`

Explanation

To solve the given differential equation

\[ \frac{y}{x} \cos\left(\frac{y}{x}\right) dx - \left(\frac{x}{y} \sin\left(\frac{y}{x}\right) + \cos\left(\frac{y}{x}\right)\right) dy = 0, \]

we will follow these steps:

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