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

(1 + cos (t)) \frac{d y}{d t} = (1 - e^{- y}) sin (t)

y = lo g_{5} (x) + lo g_{5} (x^{4})

n = 1 \sum \infty e^{- n} n^{3}

(2 x y^{2} - 4) d x + (2 x^{2} y + 7) d y = 0

(7) (0.1)

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}