What is the solution for d/(dy)((100y)/(x+y))=0 ?

The solution for d/(dy)((100y)/(x+y))=0 is x(y)=(100y)/(c_{1)}-y

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d/(dy)((100y)/(x+y))=0

\frac{d}{d y} (\frac{100 y}{x + y}) = 0

x (y) = \frac{100 y}{c _{1}} - y

Solution steps

\frac{d}{d y} (\frac{100 y}{x ( y ) + y}) = 0

f^{^{'}} (x) = g (x)

then

f (x) = \int g (x) d x

\frac{100 y}{x ( y ) + y} = \int 0 d y

\int 0 d y = c_{1}

\frac{100 y}{x ( y ) + y} = c_{1}

Isolate

x (y) : x (y) = \frac{100 y}{c _{1}} - y

x (y) = \frac{100 y}{c _{1}} - y

What is the solution for d/(dy)((100y)/(x+y))=0 ?
The solution for d/(dy)((100y)/(x+y))=0 is x(y)=(100y)/(c_{1)}-y