Consider the following differential equation:
\(x\left( {ydx + xdy} \right)\cos \frac{y}{x} = y\left( {xdy - ydx} \right)\sin \frac{y}{x}\)
Which of the following is the solution of the above equation (c is an arbitrary constant)?
1
\(\frac{x}{y}\cos \frac{y}{x} = c\)
2
\(\frac{x}{y}\sin \frac{y}{x} = c\)
3
\(xy\cos \frac{y}{x} = c\)
4
\(xy\sin \frac{y}{x} = c\)