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Question
Find dy/dx if x sin y + y sin x = 0.
Solution
x sin y + y sin x = 0
Differentiate w.r.t. x both side
`[xcosy dy/dx+siny]+[ycosx+sinxdy/dx]=0`
`therefore siny+ycosx=dy/dx(-sinx-xcosy)`
`therefore dy/dx=-((siny+ycosx)/(sinx+xcosy))`
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