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}

x \to 0 + lim (- 1)

\int 6 (x + 2) d x

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

\int \frac{a x + b}{a ^{2} x ^{2} + b ^{2}} d x

\frac{d y}{d x} + 4 y = 0

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)