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Consider the following difference equation
$${\text{x}}\left( {{\text{ydx}} + {\text{xdy}}} \right)\cos \frac{{\text{y}}}{{\text{x}}} = {\text{y}}\left( {{\text{xdy}} - {\text{ydx}}} \right)\sin \frac{{\text{y}}}{{\text{x}}}$$
Which of the following is the solution of the above equation (c is an arbitrary constant)?

Consider the following difference equation
$${\text{x}}\left( {{\text{ydx}} + {\text{xdy}}} \right)\cos \frac{{\text{y}}}{{\text{x}}} = {\text{y}}\left( {{\text{xdy}} - {\text{ydx}}} \right)\sin \frac{{\text{y}}}{{\text{x}}}$$
Which of the following is the solution of the above equation (c is an arbitrary constant)? Correct Answer $${\text{xy}}\cos \frac{{\text{y}}}{{\text{x}}} = {\text{c}}$$

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