What is the solution for 5(dr)/(ds)=e^{r-8s} ?

The solution for 5(dr)/(ds)=e^{r-8s} is r=-ln((e^{-8s})/(40)-c_{1})

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5(dr)/(ds)=e^{r-8s}

5 \frac{d r}{d s} = e^{r - 8 s}

r = - ln (\frac{e ^{- 8 s}}{40} - c_{1})

Solution steps

5 \frac{d r}{d s} = e^{r - 8 s}

Solve separable ODE:

r = - ln (\frac{e ^{- 8 s}}{40} - c_{1})

r = - ln (\frac{e ^{- 8 s}}{40} - c_{1})

\frac{\partial}{\partial x} (4 y^{2} - x^{2})

\int_{- 1}^{5} x^{2} - 4 x - 5 d x

y^{^{'}} + 4 x y^{4} = 0

\frac{d}{d x} (\frac{x + 1 - 1}{x})

\frac{d}{d x} (x (24 - 2 x) (24 - 2 x))

What is the solution for 5(dr)/(ds)=e^{r-8s} ?
The solution for 5(dr)/(ds)=e^{r-8s} is r=-ln((e^{-8s})/(40)-c_{1})