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(dy)/(dx) = (1 + x^(2))(1 + y^(2))...

`(dy)/(dx) = (1 + x^(2))(1 + y^(2))`

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The correct Answer is:
`sin2(x+y)=2(x-y)+c`
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The solutions of (dy)/(dx)=(x^(2)+y^(2)+1)/(2xy) satisfying y(1)=1 is given by -