What is the solution for (dx)/(dt)= 5/(xe^{t+5x)} ?

The solution for (dx)/(dt)= 5/(xe^{t+5x)} is x=(\W((-125e^{-t}+c_{1})/e))/(5)+1/5

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(dx)/(dt)= 5/(xe^{t+5x)}

\frac{d x}{d t} = \frac{5}{x e ^{t + 5 x}}

x = \frac{W ( \frac{- 125 e ^{- t} + c _{1}}{e} )}{5} + \frac{1}{5}

Solution steps

\frac{d x}{d t} = \frac{5}{x e ^{t + 5 x}}

Solve separable ODE:

x = \frac{W ( \frac{- 125 e ^{- t} + c _{1}}{e} )}{5} + \frac{1}{5}

x = \frac{W ( \frac{- 125 e ^{- t} + c _{1}}{e} )}{5} + \frac{1}{5}

\int_{- 5}^{- 2} 4 x^{3} d x

\frac{\partial}{\partial x} (5 x^{2} y^{2})

f (x) = 5 cos^{2} (x)

x \to 4 lim (\frac{x + 4}{x - 3})

\int (\frac{3 - 7 x + 9 x ^{2} e ^{7 x}}{x ^{2}}) d x

What is the solution for (dx)/(dt)= 5/(xe^{t+5x)} ?
The solution for (dx)/(dt)= 5/(xe^{t+5x)} is x=(\W((-125e^{-t}+c_{1})/e))/(5)+1/5