What is the solution for (dr)/(ds)=e^{r-7s} ?

The solution for (dr)/(ds)=e^{r-7s} is r=-ln(1/7 e^{-7s}-c_{1})

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(dr)/(ds)=e^{r-7s}

\frac{d r}{d s} = e^{r - 7 s}

r = - ln (\frac{1}{7} e^{- 7 s} - c_{1})

Solution steps

\frac{d r}{d s} = e^{r - 7 s}

Solve separable ODE:

r = - ln (\frac{1}{7} e^{- 7 s} - c_{1})

r = - ln (\frac{1}{7} e^{- 7 s} - c_{1})

\int [3 sin (x) + (\frac{1}{2}) tan (x)] d x

d er i v a t i v e 4 x^{7}

\int \frac{e ^{2 x} - 7}{e ^{2 x}} d x

d er i v a t i v e \frac{7}{8 t ^{4}}

\frac{d}{d x} (x^{2} + c)

What is the solution for (dr)/(ds)=e^{r-7s} ?
The solution for (dr)/(ds)=e^{r-7s} is r=-ln(1/7 e^{-7s}-c_{1})