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Popular >

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

Solution

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

Solution

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

Solution steps

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

Substitute

\frac{d y}{d t}

with

y^{'} (t)

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

If

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

then

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

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

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

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

Popular Examples

(\partial)/(\partial y)(2xz)

\frac{\partial}{\partial y} (2 x z)

derivative of e^{-4}derivative of

e^{- 4}

tangent of y=sqrt(x+3),(1,2)tangent of

y = x + 3, (1, 2)

derivative of sin(x)+7/5 cot(x)derivative of

sin (x) + \frac{7}{5} cot (x)

area x^2=y+1,x+y=1 area

x^{2} = y + 1, x + y = 1

Frequently Asked Questions (FAQ)

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