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The general solution of the differential...

The general solution of the differential equation ` (dy)/(dx) +x (x+y)=x (x+y) ^(3)-1` is:

A

`ln |((x +y+1)(x+y-1))/((x+y)^(4))|=x ^(2) +C`

B

`ln |((x +y+1)(x+y-1))/((x+y)^(2))|=x ^(2) +C`

C

`2ln |((x +y+1)(x+y-1))/((x+y)^(2))|=x ^(2) +C`

D

`ln |((x +y+1)(x+y-1))/((x+y)^(2))|=x +C`

Text Solution

Verified by Experts

The correct Answer is:
B
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