Consider the following differential equation: $x(y \mathrm{~d} x+x \mathrm{~d} y) \cos \frac{y}{x}=y(x \mathrm{~d} y-y \mathrm{dx}) \sin \frac{y}{x}$ 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) $x y \cos \frac{y}{x}=c$
(D) $x y \sin \frac{y}{x}=c$

Question ID - 156114 | SaraNextGen Top Answer

Consider the following differential equation: $x(y \mathrm{~d} x+x \mathrm{~d} y) \cos \frac{y}{x}=y(x \mathrm{~d} y-y \mathrm{dx}) \sin \frac{y}{x}$ 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) $x y \cos \frac{y}{x}=c$
(D) $x y \sin \frac{y}{x}=c$