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

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

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

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

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

Solution steps

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

Solve separable ODE:

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

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

\frac{d y}{d x} + tan (3 x) y = 0

\frac{d y}{d t} = \frac{4 t ^{2}}{3 y}

2 x y^{^{'}} = 1 - y^{2}

x^{^{'}} - 5 x = 25

\frac{d}{d θ} (r (θ)) = \frac{r ( θ ) ^{2}}{θ}, r (1) = 2

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