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

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

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

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

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

Solution steps

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

Solve separable ODE:

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

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

\frac{d y}{d x} = 7 x y, y \neq = 0

r^{^{'}} + 2 t r = r, r (0) = 2

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

\frac{d x}{d t} = 14 - \frac{42}{100} x

y^{^{'}} = k y^{2}

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