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y^2dx+(x^2+x y+y^2)dy=0...

`y^2dx+(x^2+x y+y^2)dy=0`

Text Solution

Verified by Experts

The correct Answer is:
`log|y/(y+x)|+log|x|+x/(y+x)=C`
`int1/(v(v+1)^(2))dv=-int1/xdx`.
Let `1/(v(v+1))^(2)=A/v+B/(v+1)+C/(v+1)^(2)`
This gives A=1, B`=-1` and `C=-1`.
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