यदि y = (x)/(x + a), साबित करें कि x.(d...

यदि `y = (x)/(x + a)`, साबित करें कि `x.(dy)/(dx) = y (1-y)`.

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If y= (x)/( x+a) , prove that x (dy)/( dx) = y(1-y) .

y-x(dy)/(dx)=x+y(dy)/(dx)

(dy)/(dx)(1+x+y)=x+y+1

y^2+x^2(dy)/(dx)=x y(dy)/(dx)

(1-y)x(dy)/(dx)+(1+x)y=0

(dy)/(dx) of (x^(y))(y^(x))=1

If y = x/(x+a) ,show that x dy/dx = y (1- y)

The solution of x cos. (y)/(x) (y dx + x dy) = y sin.(y)/(x) (x dy - y dx) is

(x (dy) / (dx) -y) tan ^ (- 1) ((y) / (x)) = x

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