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Question

Solve:
dydx=ycotx

A
y=ktanx
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B
y=kcscx
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C
y=ksinx
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D
y=kcosx
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Solution

The correct option is A y=ksinx
dydx=ycotx
dyy=cotxdx
dyy=cosxsinxdx
ln|y|+ln|c|=ln|sinx|
ln|Cy|=ln|sinx|
cy=sinx
y=ksinx where k= constant

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