Find the general solution of each of the following differential equati – InterviewSolution

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1.	Find the general solution of each of the following differential equations: `(dy)/(dx)+sin(x+y)=sin(x-y)`
Answer» Correct Answer - `log\|"cosec"y-coty\|+2 sinx =C` `sin(x-y)-sin(x+y)=2cos{((x-y)+(x+y))/(2)}sin{((x-y)-(x+y))/(2)}` `=2cosx sin(-y)= -2 cosx siny.` `therefore int (1)/(siny)dy = -2 int cosx dx rArr int "cosec"y dy = -2sinx +C` `rArr log\|"cosec"y-coty\|= -2 sinx +C.`

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