What is implicit (dy)/(dx),x-y=xy ?

The answer to implicit (dy)/(dx),x-y=xy is (dy)/(dx)=-(y-1)/(1+x)

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implicit (dy)/(dx),x-y=xy

implicit derivative

\frac{d y}{d x}, x - y = x y

\frac{d y}{d x} = - \frac{y - 1}{1 + x}

Solution steps

x - y = x y

Treat

y

y (x)

Differentiate both sides:

1 - \frac{d y}{d x} = y + x \frac{d y}{d x}

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = - \frac{y - 1}{1 + x}

\frac{d y}{d x} = - \frac{y - 1}{1 + x}

\int \frac{x ^{2} + 2}{x} d x

x \to 2 lim (x + 5)

\int_{0}^{1} \frac{1}{x ^{\frac{18}{19}}} d x

x \to \frac{π}{4} lim (\frac{1 - 2 sin ( 2 x )}{cos ( x ) - sin ( x )})

\frac{d}{d x} (3 x^{2} - 5 x + 7)

What is implicit (dy)/(dx),x-y=xy ?
The answer to implicit (dy)/(dx),x-y=xy is (dy)/(dx)=-(y-1)/(1+x)