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

\int x^{3} + 7 x - 5 x e^{- 2 x^{2}} d x

\int \frac{1}{x ^{2} + 18 x} d x

\frac{d}{d t} (tan (t))

x \to 3 lim (x - 2)

\frac{\partial}{\partial x} (L - x \cdot cos (b))

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}