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 ln (x + 2) d x

5 y^{^{'}} - y = e^{- t} + 3 t

\int \frac{( 9 sin ^{3} ( x ) )}{cos ( x )} d x

x \to \infty lim (\frac{1}{5 x})

\int (x \cdot sin (x^{2} + 1)) d 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}