What is the solution for (dy)/(dx)=(x-4)/(y+5) ?

The solution for (dy)/(dx)=(x-4)/(y+5) is y=-5+sqrt(x^2-8x+c_{1)+25},y=-sqrt(x^2-8x+c_{1)+25}-5

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(dy)/(dx)=(x-4)/(y+5)

\frac{d y}{d x} = \frac{x - 4}{y + 5}

y = - 5 + x^{2} - 8 x + c_{1} + 25, y = - x^{2} - 8 x + c_{1} + 25 - 5

Solution steps

\frac{d y}{d x} = \frac{x - 4}{y + 5}

Solve separable ODE:

y = - 5 + x^{2} - 8 x + c_{1} + 25, y = - x^{2} - 8 x + c_{1} + 25 - 5

y = - 5 + x^{2} - 8 x + c_{1} + 25, y = - x^{2} - 8 x + c_{1} + 25 - 5

f (x) = \frac{2}{x}, (6, \frac{1}{3})

\int 15 ln (x + 5) d x

\int \frac{x ^{2} + 5 x - 1}{x ^{3}} d x

\int (- 3 x + 2) e - x d x

What is the solution for (dy)/(dx)=(x-4)/(y+5) ?
The solution for (dy)/(dx)=(x-4)/(y+5) is y=-5+sqrt(x^2-8x+c_{1)+25},y=-sqrt(x^2-8x+c_{1)+25}-5