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Solution of the differential equation ((...

Solution of the differential equation `((x+y-1)/(x+y-2))(dy)/(dx)=((x+y+1)/(x+y+1)),` given that y = 1 when x = 1, is

A

`ln|((x-y)^(2)-2)/(2)|=2(x+y)`

B

`ln|((x+y)^(2)-2)/(2)|=2(x-y)`

C

`ln|((x-y)^(2)+2)/(2)|=2(x+y)`

D

`ln|((x+y)^(2)+2)/(2)|=2(x-y)`

Text Solution

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The correct Answer is:
B
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