1.

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)?

A. \(\frac{x}{y}\cos \frac{y}{x} = c\)
B. \(\frac{x}{y}\sin \frac{y}{x} = c\)
C. \(xy\cos \frac{y}{x} = c\)
D. \(xy\sin \frac{y}{x} = c\)
Answer» D. \(xy\sin \frac{y}{x} = c\)


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