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Popular Calculus >

(dx)/(dt)=5x(9-x)

Solution

\frac{d x}{d t} = 5 x (9 - x)

Solution

x = \frac{9}{e ^{- 45 t + c_{1}} + 1}

Solution steps

\frac{d x}{d t} = 5 x (9 - x)

Solve Bernoulli ODE:

x = \frac{9}{e ^{- 45 t + c_{1}} + 1}

x = \frac{9}{e ^{- 45 t + c_{1}} + 1}

Graph

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Frequently Asked Questions (FAQ)

What is the solution for (dx)/(dt)=5x(9-x) ?
The solution for (dx)/(dt)=5x(9-x) is x= 9/(e^{-45t+c_{1)}+1}