What is the solution for (dy)/(dx)=(x-8)e^{-2y} ?

The solution for (dy)/(dx)=(x-8)e^{-2y} is y=(ln(x^2-16x+c_{1}))/2

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(dy)/(dx)=(x-8)e^{-2y}

\frac{d y}{d x} = (x - 8) e^{- 2 y}

y = \frac{ln ( x ^{2} - 16 x + c _{1} )}{2}

Solution steps

\frac{d y}{d x} = (x - 8) e^{- 2 y}

Solve separable ODE:

y = \frac{ln ( x ^{2} - 16 x + c _{1} )}{2}

y = \frac{ln ( x ^{2} - 16 x + c _{1} )}{2}

f (x) = 2 x + 6

2 x^{2} + x y + y^{2} = 4

f (x) = \frac{x ^{2} - 4 x + 3}{x + 1}

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

x \to 1 lim (x^{3} - 2 x^{2} - 7 x - 6)

What is the solution for (dy)/(dx)=(x-8)e^{-2y} ?
The solution for (dy)/(dx)=(x-8)e^{-2y} is y=(ln(x^2-16x+c_{1}))/2