What is the solution for derivative of xy= derivative of x+y ?

The solution for derivative of xy= derivative of x+y is y=-(c_{1})/(x-1)+1

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derivative of xy= derivative of x+y

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

y = - \frac{c _{1}}{x - 1} + 1

Solution steps

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

Solve separable ODE:

y = - \frac{c _{1}}{x - 1} + 1

y = - \frac{c _{1}}{x - 1} + 1

\frac{d}{d x} ((x) y) = (y) x

\frac{d}{d x} (z (x) \cdot e^{2 x}) = e^{2 x}

e^{y} \cdot d y - 2 x \cdot d x = 0

\frac{d y}{d t} + 24 \cdot 1 0^{- 3} y = 384 \cdot 1 0^{- 3}

\frac{d y}{d x} (\frac{x ^{2}}{3 y ^{2}}) = 1

What is the solution for derivative of xy= derivative of x+y ?
The solution for derivative of xy= derivative of x+y is y=-(c_{1})/(x-1)+1