What is the solution for (dy)/(dx)-9y^2e^{-3x}=0,y(0)=10 ?

The solution for (dy)/(dx)-9y^2e^{-3x}=0,y(0)=10 is y=-(10e^{3x})/(-30+29e^{3x)}

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(dy)/(dx)-9y^2e^{-3x}=0,y(0)=10

\frac{d y}{d x} - 9 y^{2} e^{- 3 x} = 0, y (0) = 10

y = - \frac{10 e ^{3 x}}{- 30 + 29 e ^{3 x}}

Solution steps

\frac{d y}{d x} - 9 y^{2} e^{- 3 x} = 0

Solve separable ODE:

y = - \frac{10 e ^{3 x}}{- 30 + 29 e ^{3 x}}

y = - \frac{10 e ^{3 x}}{- 30 + 29 e ^{3 x}}

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What is the solution for (dy)/(dx)-9y^2e^{-3x}=0,y(0)=10 ?
The solution for (dy)/(dx)-9y^2e^{-3x}=0,y(0)=10 is y=-(10e^{3x})/(-30+29e^{3x)}