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Popular >

(dx)/(dt)=5x(6-x)

Solution

\frac{d x}{d t} = 5 x (6 - x)

Solution

x = \frac{6}{e ^{- 30 t + c_{1}} + 1}

Solution steps

\frac{d x}{d t} = 5 x (6 - x)

Solve Bernoulli ODE:

x = \frac{6}{e ^{- 30 t + c_{1}} + 1}

x = \frac{6}{e ^{- 30 t + c_{1}} + 1}

Popular Examples

(dy)/(dx)+3y=50

\frac{d y}{d x} + 3 y = 50

(dy)/(dx)= y/x+x/(y^5)

\frac{d y}{d x} = \frac{y}{x} + \frac{x}{y ^{5}}

integral of (12u)/(sqrt(u(u-8)))

\int \frac{12 u}{u ( u - 8 )} d u

sum from k=0 to infinity of (k+1)x^k

k = 0 \sum \infty (k + 1) x^{k}

derivative of 5x^2e^{3x}derivative of

5 x^{2} e^{3 x}

Frequently Asked Questions (FAQ)

What is the solution for (dx)/(dt)=5x(6-x) ?
The solution for (dx)/(dt)=5x(6-x) is x= 6/(e^{-30t+c_{1)}+1}