What is the solution for (dy)/(dx)=(2-x)/(y-3) ?

The solution for (dy)/(dx)=(2-x)/(y-3) is y=3+sqrt(-x^2+4x+c_{1)+9},y=3-sqrt(-x^2+4x+c_{1)+9}

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(dy)/(dx)=(2-x)/(y-3)

\frac{d y}{d x} = \frac{2 - x}{y - 3}

y = 3 + - x^{2} + 4 x + c_{1} + 9, y = 3 - - x^{2} + 4 x + c_{1} + 9

Solution steps

\frac{d y}{d x} = \frac{2 - x}{y - 3}

Solve separable ODE:

y = 3 + - x^{2} + 4 x + c_{1} + 9, y = 3 - - x^{2} + 4 x + c_{1} + 9

y = 3 + - x^{2} + 4 x + c_{1} + 9, y = 3 - - x^{2} + 4 x + c_{1} + 9

\int \frac{1}{x ( x - 1 ) ( x - 2 )} d x

\frac{\partial}{\partial v} (\frac{v}{u})

f (x) = (2 x)^{4 x}

y^{^{''}} + 16 y = 2 sin (2 t)

\frac{d}{d x} (x^{2} - 5)

What is the solution for (dy)/(dx)=(2-x)/(y-3) ?
The solution for (dy)/(dx)=(2-x)/(y-3) is y=3+sqrt(-x^2+4x+c_{1)+9},y=3-sqrt(-x^2+4x+c_{1)+9}