What is the solution for (dy)/(dx)=(x-2)/(y-2) ?

The solution for (dy)/(dx)=(x-2)/(y-2) is y=2+sqrt(x^2-4x+c_{1)+4},y=2-sqrt(x^2-4x+c_{1)+4}

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

\frac{d y}{d x} = \frac{x - 2}{y - 2}

y = 2 + x^{2} - 4 x + c_{1} + 4, y = 2 - x^{2} - 4 x + c_{1} + 4

Solution steps

\frac{d y}{d x} = \frac{x - 2}{y - 2}

Solve separable ODE:

y = 2 + x^{2} - 4 x + c_{1} + 4, y = 2 - x^{2} - 4 x + c_{1} + 4

y = 2 + x^{2} - 4 x + c_{1} + 4, y = 2 - x^{2} - 4 x + c_{1} + 4

\int 10 x^{9} + 10 x^{5} - 2 x^{4} - 1 d x

\frac{1}{x ^{8}}

sin (x) ln (sec (x) + tan (x)) - 1

x^{- 2}, 7

\frac{d}{d x} (\frac{7}{1 + 7 x})

What is the solution for (dy)/(dx)=(x-2)/(y-2) ?
The solution for (dy)/(dx)=(x-2)/(y-2) is y=2+sqrt(x^2-4x+c_{1)+4},y=2-sqrt(x^2-4x+c_{1)+4}