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

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

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(dy)/(dx)=(y^2)/(e^x)

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

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

Solution steps

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

Solve separable ODE:

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

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

y = 1 4^{- \frac{8}{x}}

\frac{d}{d x} (20 + x)

\frac{\partial}{\partial x} ((x y - 3) e^{- x y})

y^{^{''}} - 4 y^{^{'}} + 3 y = 3 x^{2} - 5 x + 1

\int \frac{4 x ^{2} + 2}{1 + x ^{2}} d x

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