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

a x^{2} + b x + c

\frac{d}{d x} (\frac{6 x}{1 - tan ( x )})

\int_{0}^{\frac{π}{4}} 6 sec^{2} (x) d x

\int \frac{y ^{5} - 1}{y} d y

\frac{d}{d x} (1 + 3^{s i n (x^{3})})

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