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The solution of the differential equation $\cos x \sin y d x+\sin x \cos y d y=0$, is |
$\frac{\sin x}{\sin y}=C$ $\cos x+\cos y=C$ $\sin x+\sin y=C$ $\sin x \sin y=C$ |
$\sin x \sin y=C$ |
We have, $\cos x \sin y d x+\sin x \cos y d y=0$ $\Rightarrow \sin y d(\sin x)+\sin x d(\sin y)=0$ $\Rightarrow d(\sin x \sin y)=0$ On integrating, we get $\sin x \sin y=C$ |
