The differential equation whose solution is $y = c s i n x$ :

y_{1} + y c o t x = 0

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y_{1} + y t a n x = 0

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y_{1} - y c o t x = 0

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y_{1} - y t a n x = 0

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Solution

The correct option is D $y_{1} - y c o t x = 0$
$y = c s i n x$
$y_{1} = c c o s x$
$y_{1} = y c o t x$
$\Rightarrow y_{1} - y c o t x = 0$

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