What is the solution for (dy)/(dx)=(x-3)/(y+5) ?

The solution for (dy)/(dx)=(x-3)/(y+5) is y=-5+sqrt(x^2-6x+c_{1)+25},y=-sqrt(x^2-6x+c_{1)+25}-5

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(dy)/(dx)=(x-3)/(y+5)

\frac{d y}{d x} = \frac{x - 3}{y + 5}

y = - 5 + x^{2} - 6 x + c_{1} + 25, y = - x^{2} - 6 x + c_{1} + 25 - 5

Solution steps

\frac{d y}{d x} = \frac{x - 3}{y + 5}

Solve separable ODE:

y = - 5 + x^{2} - 6 x + c_{1} + 25, y = - x^{2} - 6 x + c_{1} + 25 - 5

y = - 5 + x^{2} - 6 x + c_{1} + 25, y = - x^{2} - 6 x + c_{1} + 25 - 5

n = 1 \sum \infty 3 \cdot (\frac{1}{5})^{n}

n \to \infty lim (n^{2} e^{- 3 n})

\frac{( s - 3 )}{( s ^{2} + 4 s + 13 )}

y^{^{'}} - 7 y = - x

y^{^{'}} = \frac{3100}{1 + 0.25 t}

What is the solution for (dy)/(dx)=(x-3)/(y+5) ?
The solution for (dy)/(dx)=(x-3)/(y+5) is y=-5+sqrt(x^2-6x+c_{1)+25},y=-sqrt(x^2-6x+c_{1)+25}-5