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Question

Solution of the equation (1+x2)dy=(1+y2)dx is-


A

y - x = c(1 + xy)

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B

y- x = c(1 - xy)

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C

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D

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Solution

The correct options are
A

y - x = c(1 + xy)


C


D


dx1+y2=dy1+x2

tan1y=tan1x+c

or π2cot1y=tan1x+c

or tan1x+cot1y=π2c

tan1ytan1x=c

tan1(yx1+xy)=cyx1+xy=tan c=k


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