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Solve the equation (dy)/(dx)=y/(2y1ny+y-...

Solve the equation `(dy)/(dx)=y/(2y1ny+y-x)`

Text Solution

Verified by Experts

The correct Answer is:
`xy=y^(2)log_(e)y+c`
Given equation is `(dy)/(dx) = (2y " ln " y+y-x)/(y)`
or `(dx)/(dy)+1/yy=(2"ln "y+1)`
I.F. =y and solution is `xy=int(2" ln "+1)ydy+c`
or `xy=y^(2) " ln "y+c`
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