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Popular >

(dy)/(dt)=e^{-3t}

Solution

\frac{d y}{d t} = e^{- 3 t}

Solution

y = - \frac{1}{3} e^{- 3 t} + c_{1}

Solution steps

\frac{d y}{d t} = e^{- 3 t}

Substitute

\frac{d y}{d t}

with

y^{'} (t)

y^{^{'}} (t) = e^{- 3 t}

If

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

then

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

y = \int e^{- 3 t} d t

\int e^{- 3 t} d t = - \frac{1}{3} e^{- 3 t} + c_{1}

y = - \frac{1}{3} e^{- 3 t} + c_{1}

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n = 1 \sum \infty \frac{n ^{5}}{5 ^{n}}

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\int_{x^{2}}^{4 - x^{2}} y d y

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dt)=e^{-3t} ?
The solution for (dy)/(dt)=e^{-3t} is y=-1/3 e^{-3t}+c_{1}