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`(x-sqrt(xy))dy=ydx` |
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Answer» Correct Answer - `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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