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Popular >

(dx)/(dt)=(2500*7.75)/((1500-7.75t))

Solution

\frac{d x}{d t} = \frac{2500 \cdot 7.75}{( 1500 - 7.75 t )}

Solution

x = - 2499.99999 \dots ln (1500 - 7.75 t) + c_{1}

Solution steps

\frac{d x}{d t} = \frac{2500 \cdot 7.75}{( 1500 - 7.75 t )}

Substitute

\frac{d x}{d t}

with

x^{'} (t)

x^{^{'}} (t) = \frac{2500 \cdot 7.75}{( 1500 - 7.75 t )}

If

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

then

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

x = \int \frac{2500 \cdot 7.75}{1500 - 7.75 t} d t

\int \frac{2500 \cdot 7.75}{1500 - 7.75 t} d t = - 2499.99999 \dots ln (1500 - 7.75 t) + c_{1}

x = - 2499.99999 \dots ln (1500 - 7.75 t) + c_{1}

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\int e^{- s t} d t

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\frac{d}{d x} ((A x + B) e^{- x})

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n = 1 \sum \infty \frac{1}{n ( 2 n - 1 )}

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f (x) = \frac{1}{8 x}

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\frac{d}{d x} ((x + 1)^{- 1})

Frequently Asked Questions (FAQ)

What is the solution for (dx)/(dt)=(2500*7.75)/((1500-7.75t)) ?
The solution for (dx)/(dt)=(2500*7.75)/((1500-7.75t)) is x=-2499.99999…ln(1500-7.75t)+c_{1}