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

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

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

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

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

Solution steps

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

Solve separable ODE:

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

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

n = 2 \sum \infty (- 1)^{n} \frac{1}{n}

\int \frac{1}{5 x + x ^{2}} d x

x \to + 0 lim (x ln (x))

f (x) = x + 5, (4, 3)

\frac{d}{d x} (25 - x^{2} - y^{2})

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