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यदि y = ( x)/( x + 4) हो, तो सिद्ध कीजि...

यदि `y = ( x)/( x + 4)` हो, तो सिद्ध कीजिए - `x (dy)/(dx) = y (1-y)`

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(dy)/(dx) = 4^(x+y)

x(dy)/(dx)+y=x^(2)y^(4)

x(dy)/(dx)+y=x^(2)y^(4)

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

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

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

If y = x/(x+4) then show that x (dy)/(dx) = y(1-y)

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

(dy)/(dx)-(2y)/(x)=y^(4)