What is the solution for (dy)/(dx)-9y^2e^{-1x}=0,y(0)=5 ?

The solution for (dy)/(dx)-9y^2e^{-1x}=0,y(0)=5 is y=-(5e^x)/(-45+44e^x)

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(dy)/(dx)-9y^2e^{-1x}=0,y(0)=5

\frac{d y}{d x} - 9 y^{2} e^{- 1 x} = 0, y (0) = 5

y = - \frac{5 e ^{x}}{- 45 + 44 e ^{x}}

Solution steps

\frac{d y}{d x} - 9 y^{2} e^{- 1 x} = 0

Solve separable ODE:

y = - \frac{5 e ^{x}}{- 45 + 44 e ^{x}}

y = - \frac{5 e ^{x}}{- 45 + 44 e ^{x}}

y = x^{4}, at x = 0

cos (5 t)

\int x (\frac{1}{4} e^{- \frac{x}{4}}) d x

2 x^{2}, x^{2} + 5

y^{^{''}} + 6 y^{^{'}} + 13 = 0

What is the solution for (dy)/(dx)-9y^2e^{-1x}=0,y(0)=5 ?
The solution for (dy)/(dx)-9y^2e^{-1x}=0,y(0)=5 is y=-(5e^x)/(-45+44e^x)