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If $\sin x$ is an intergrating factor of the differential equation $\frac{d y}{d x}+P y=Q$, then P can be |
$\log \sin x$ $\cot x$ $\sin x$ $\log \cos x$ |
$\cot x$ |
We have, Integrating factor = $\sin x$ $\Rightarrow e^{\int P d x}=\sin x$ $\Rightarrow \int P d x=\log \sin x \Rightarrow P=\frac{d}{d x}(\log \sin x)=\cot x$ |
