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The solution of the differential equatio...

The solution of the differential equation `ydx+ (x +x^2 y) dy =0` is

Text Solution

Verified by Experts

The correct Answer is:
`-1/(xy)+log_(e)y=c`
`ydx+(x+x^(2)y)dy=0`
or `(xdy+ydx)+x^(2)ydy=0`
or `d(xy)+x^(2)ydy=0`
or `(d(xy))/(xy)^(2)+1/ydy=0`
Integrating, we get `-1/xy+logy=c`.
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