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

The solution for (dy)/(dx)= 1/(y-2) is y=(4+sqrt(16-4(-c_{1)-2x)})/2 ,y=(4-sqrt(16-4(-c_{1)-2x)})/2

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(dy)/(dx)= 1/(y-2)

\frac{d y}{d x} = \frac{1}{y - 2}

y = \frac{4 + 16 - 4 ( - c _{1} - 2 x )}{2}, y = \frac{4 - 16 - 4 ( - c _{1} - 2 x )}{2}

Solution steps

\frac{d y}{d x} = \frac{1}{y - 2}

Solve separable ODE:

y = \frac{4 + 16 - 4 ( - c _{1} - 2 x )}{2}, y = \frac{4 - 16 - 4 ( - c _{1} - 2 x )}{2}

y = \frac{4 + 16 - 4 ( - c _{1} - 2 x )}{2}, y = \frac{4 - 16 - 4 ( - c _{1} - 2 x )}{2}

What is the solution for (dy)/(dx)= 1/(y-2) ?
The solution for (dy)/(dx)= 1/(y-2) is y=(4+sqrt(16-4(-c_{1)-2x)})/2 ,y=(4-sqrt(16-4(-c_{1)-2x)})/2