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Popular >

(dy)/(dx)=4y(8-y)

Solution

\frac{d y}{d x} = 4 y (8 - y)

Solution

y = \frac{8}{e ^{- 32 x + c_{1}} + 1}

Solution steps

\frac{d y}{d x} = 4 y (8 - y)

Solve Bernoulli ODE:

y = \frac{8}{e ^{- 32 x + c_{1}} + 1}

y = \frac{8}{e ^{- 32 x + c_{1}} + 1}

Popular Examples

integral of 1/((4x-5)^2)

\int \frac{1}{( 4 x - 5 ) ^{2}} d x

sum from n=1 to infinity of (1+5/n)^n

n = 1 \sum \infty (1 + \frac{5}{n})^{n}

derivative of f(x)=3xsin^2(x)derivative of

f (x) = 3 x sin^{2} (x)

simplify 8x+(12800)/x simplify

8 x + \frac{12800}{x}

\frac{d y}{d x} = 6 x

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=4y(8-y) ?
The solution for (dy)/(dx)=4y(8-y) is y= 8/(e^{-32x+c_{1)}+1}