What is the solution for (dy)/(dx)=((x-2))/(y-4) ?

The solution for (dy)/(dx)=((x-2))/(y-4) is y=4+sqrt(x^2-4x+c_{1)+16},y=4-sqrt(x^2-4x+c_{1)+16}

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(dy)/(dx)=((x-2))/(y-4)

\frac{d y}{d x} = \frac{( x - 2 )}{y - 4}

y = 4 + x^{2} - 4 x + c_{1} + 16, y = 4 - x^{2} - 4 x + c_{1} + 16

Solution steps

\frac{d y}{d x} = \frac{( x - 2 )}{y - 4}

Solve separable ODE:

y = 4 + x^{2} - 4 x + c_{1} + 16, y = 4 - x^{2} - 4 x + c_{1} + 16

y = 4 + x^{2} - 4 x + c_{1} + 16, y = 4 - x^{2} - 4 x + c_{1} + 16

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x \to 0 lim (\frac{1}{( x - 1 ) ^{2}})

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What is the solution for (dy)/(dx)=((x-2))/(y-4) ?
The solution for (dy)/(dx)=((x-2))/(y-4) is y=4+sqrt(x^2-4x+c_{1)+16},y=4-sqrt(x^2-4x+c_{1)+16}