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

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

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(dy)/(dx)=y^2e^{-2x}

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

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

Solution steps

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

Solve separable ODE:

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

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

\frac{d}{d x} (\frac{5}{2} x^{- 2})

e^{m x}

y = 9 - 0.25 x^{2}, y = 1, 2 < x < 5

\frac{\partial}{\partial x} (\frac{x}{x ^{2} + 9 y ^{2}})

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