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: `cosx(1+cosy)dx -siny (1+sinx)dy =0`
Answer» Correct Answer - `(1+sin x)(1+cosy) =C` `int (cosx)/((1+cosx))dx + int (-siny)/((1+cosy))dy = log \|C_(1)\|` `rArr log \|1+sinx\|+log\|1+cosy\|=log \|C_(1)\|rArr log \|(1+sinx)(1+cosy)=log \|C_(1)\|` `rArr \|(1+sinx) (1+cosy)\|=C_(1) rArr (1+sinx)(1+cosy) = pm C_(1) = C.`

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