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

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

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

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

y = \frac{c _{1}}{x ^{2} - 4 x + 4}

Solution steps

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

Solve separable ODE:

y = \frac{c _{1}}{x ^{2} - 4 x + 4}

y = \frac{c _{1}}{x ^{2} - 4 x + 4}

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