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

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}