What is the solution for (dx)/(dt)=x^2e^{-2t} ?

The solution for (dx)/(dt)=x^2e^{-2t} is x=-(2e^{2t})/(-1+2c_{1)e^{2t}}

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(dx)/(dt)=x^2e^{-2t}

\frac{d x}{d t} = x^{2} e^{- 2 t}

x = - \frac{2 e ^{2 t}}{- 1 + 2 c _{1} e ^{2 t}}

Solution steps

\frac{d x}{d t} = x^{2} e^{- 2 t}

Solve separable ODE:

x = - \frac{2 e ^{2 t}}{- 1 + 2 c _{1} e ^{2 t}}

x = - \frac{2 e ^{2 t}}{- 1 + 2 c _{1} e ^{2 t}}

\int (\frac{3 - x}{x ^{2} - 6 x + 2}) d x

\frac{d}{d x} (cos (\frac{π x}{4}))

f (x) = x^{2}, at x = - 3

x \to 4 lim (\frac{x ^{q (x)} ( 4 - x )}{e ^{4 - x} - 1})

x \to 9 lim (\frac{7}{x - 9})

What is the solution for (dx)/(dt)=x^2e^{-2t} ?
The solution for (dx)/(dt)=x^2e^{-2t} is x=-(2e^{2t})/(-1+2c_{1)e^{2t}}