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Popular >

(dy)/(dx)=2y(9-y)

Solution

\frac{d y}{d x} = 2 y (9 - y)

Solution

y = \frac{9}{e ^{- 18 x + c_{1}} + 1}

Solution steps

\frac{d y}{d x} = 2 y (9 - y)

Solve Bernoulli ODE:

y = \frac{9}{e ^{- 18 x + c_{1}} + 1}

y = \frac{9}{e ^{- 18 x + c_{1}} + 1}

Popular Examples

(dx)/(dt)=x(1-1/2500 x)

\frac{d x}{d t} = x (1 - \frac{1}{2500} x)

integral of (x+4)sqrt(8x+x^2)

\int (x + 4) 8 x + x^{2} d x

derivative of sqrt(r^2-7x^2)

\frac{d}{d x} (r^{2} - 7 x^{2})

derivative of 2sec^2(xtan(x))

\frac{d}{d x} (2 sec^{2} (x) tan (x))

limit as x approaches 0 of 5/(x-1)

x \to 0 lim (\frac{5}{x - 1})

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=2y(9-y) ?
The solution for (dy)/(dx)=2y(9-y) is y= 9/(e^{-18x+c_{1)}+1}