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(x-sqrt(xy))dy=ydx...

`(x-sqrt(xy))dy=ydx`

Text Solution

Verified by Experts

The correct Answer is:
`2sqrt(x/y)+log|y|=C`
`int(1-sqrt(v))/(v^(3//2))dv=int1/xdx rArr int{1/(v^(3//2)-sqrt(v)/(v^(3//2)))}dv=int 1/x dx`
`rArr int v^(-3//2)dv-int1/vdv=log|x|-C rArr -2/sqrt(v)-log|v|=log|x|-C`
`rArr 2sqrt(x/y)+log|y|=C`.
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