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Popular >

(dy)/(dt)=2y-y^2

Solution

\frac{d y}{d t} = 2 y - y^{2}

Solution

y = \frac{2}{- e ^{- 2 t - c_{1}} + 1}

Solution steps

\frac{d y}{d t} = 2 y - y^{2}

Solve Bernoulli ODE:

y = \frac{2}{- e ^{- 2 t - c_{1}} + 1}

y = \frac{2}{- e ^{- 2 t - c_{1}} + 1}

Popular Examples

integral of 1-sin(2x)

\int 1 - sin (2 x) d x

area x, 1/(18x^2), x/(16)area

x, \frac{1}{18 x ^{2}}, \frac{x}{16}

(dy)/(dx)=60yx^{14}

\frac{d y}{d x} = 60 y x^{14}

integral of (40)/(1-cos(5x))

\int \frac{40}{1 - cos ( 5 x )} d x

integral of 1/(7xlog_{7)(x)}

\int \frac{1}{7 x lo g _{7} ( x )} d x

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dt)=2y-y^2 ?
The solution for (dy)/(dt)=2y-y^2 is y= 2/(-e^{-2t-c_{1)}+1}