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Popular >

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

Solution

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

Solution

y = - e^{- x} + c_{1}

Solution steps

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

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = e^{- x}

If

f^{^{'}} (x) = g (x)

then

f (x) = \int g (x) d x

y = \int e^{- x} d x

\int e^{- x} d x = - e^{- x} + c_{1}

y = - e^{- x} + c_{1}

Graph

Popular Examples

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\int - \frac{1400}{x ^{2}} d x

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x \to - 1 + lim (6 x^{2} + 11)

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\int cos^{7} (\frac{1}{5} x) d x

integral of t^2e^{-10t}

\int t^{2} e^{- 10 t} d t

(\partial)/(\partial x)(-6xysin(xy^2))

\frac{\partial}{\partial x} (- 6 x y sin (x y^{2}))

Frequently Asked Questions (FAQ)

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