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Popular >

(dx)/(dt)=e^t

Solution

\frac{d x}{d t} = e^{t}

Solution

x = e^{t} + c_{1}

Solution steps

\frac{d x}{d t} = e^{t}

Substitute

\frac{d x}{d t}

with

x^{'} (t)

x^{^{'}} (t) = e^{t}

If

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

then

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

x = \int e^{t} d t

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

x = e^{t} + c_{1}

Popular Examples

integral of (2xy-sin(x))

\int (2 x y - sin (x)) d x

tangent of y=x^3-4x,(-2,0)tangent of

y = x^{3} - 4 x, (- 2, 0)

integral from 1 to e^2 of (ln^8(x^2))/x

\int_{1}^{e^{2}} \frac{ln ^{8} ( x ^{2} )}{x} d x

tangent of 5e^x tangent of

5 e^{x}

integral of 2x(-e^{-x})

\int 2 x (- e^{- x}) d x

Frequently Asked Questions (FAQ)

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