What is the solution for 3(dr)/(ds)=e^{r-2s} ?

The solution for 3(dr)/(ds)=e^{r-2s} is r=-ln((e^{-2s})/6-c_{1})

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3(dr)/(ds)=e^{r-2s}

3 \frac{d r}{d s} = e^{r - 2 s}

r = - ln (\frac{e ^{- 2 s}}{6} - c_{1})

Solution steps

3 \frac{d r}{d s} = e^{r - 2 s}

Solve separable ODE:

r = - ln (\frac{e ^{- 2 s}}{6} - c_{1})

r = - ln (\frac{e ^{- 2 s}}{6} - c_{1})

(x, y) \to (4, 2) lim (6 x + 3 y)

f (x) = e^{2 x} - 6 e^{x} + 3

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What is the solution for 3(dr)/(ds)=e^{r-2s} ?
The solution for 3(dr)/(ds)=e^{r-2s} is r=-ln((e^{-2s})/6-c_{1})