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Solve: xdy+ydx= (xdy-ydx)/(x^(2)+y^(2)...

Solve:
`xdy+ydx= (xdy-ydx)/(x^(2)+y^(2))`

Text Solution

Verified by Experts

We have,
`xdy+ydx=(xdy-ydx)/(x^(2)+y^(2))`
`therefore d(xy) = ((xdy-ydx)/(x^(2)))/(1(y/x)^(2))`
`rArr intd(xy) = int (d(y/x))/(1+(y/x)^(2))`
`rArr xy-tan^(-)y/x+c`
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