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Popular >

(dx)/(dt)=3x(8-x)

Solution

\frac{d x}{d t} = 3 x (8 - x)

Solution

x = \frac{8}{e ^{- 24 t + c_{1}} + 1}

Solution steps

\frac{d x}{d t} = 3 x (8 - x)

Solve Bernoulli ODE:

x = \frac{8}{e ^{- 24 t + c_{1}} + 1}

x = \frac{8}{e ^{- 24 t + c_{1}} + 1}

Popular Examples

derivative of 60x^4-160x^3+120x^2-20

\frac{d}{d x} (60 x^{4} - 160 x^{3} + 120 x^{2} - 20)

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\frac{d}{d x} ((11 x^{2} - 22 x + 22) e^{x})

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\int 3 4 x - 7 d x

(\partial)/(\partial y)(ln(x^2+y^2)-z)

\frac{\partial}{\partial y} (ln (x^{2} + y^{2}) - z)

(2+y)dx-(3-x)dy=0

(2 + y) d x - (3 - x) d y = 0

Frequently Asked Questions (FAQ)

What is the solution for (dx)/(dt)=3x(8-x) ?
The solution for (dx)/(dt)=3x(8-x) is x= 8/(e^{-24t+c_{1)}+1}