What is the solution for (dy)/(dx)= 1/2 (y-1)^2,y(0)=2 ?

The solution for (dy)/(dx)= 1/2 (y-1)^2,y(0)=2 is y= x/(x-2)-4/(x-2)

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(dy)/(dx)= 1/2 (y-1)^2,y(0)=2

\frac{d y}{d x} = \frac{1}{2} (y - 1)^{2}, y (0) = 2

y = \frac{x}{x - 2} - \frac{4}{x - 2}

Solution steps

\frac{d y}{d x} = \frac{1}{2} (y - 1)^{2}

Solve separable ODE:

y = \frac{x}{x - 2} - \frac{4}{x - 2}

y = \frac{x}{x - 2} - \frac{4}{x - 2}

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What is the solution for (dy)/(dx)= 1/2 (y-1)^2,y(0)=2 ?
The solution for (dy)/(dx)= 1/2 (y-1)^2,y(0)=2 is y= x/(x-2)-4/(x-2)