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Popular >

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

Solution

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

Solution

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

Solution steps

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

Solve Bernoulli ODE:

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

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

Popular Examples

derivative of 2x^7-3x^6+3x^3-4x^2-7

\frac{d}{d x} (2 x^{7} - 3 x^{6} + 3 x^{3} - 4 x^{2} - 7)

integral of (7-7x)/(1-sqrt(x))

\int \frac{7 - 7 x}{1 - x} d x

integral of 7/(sqrt(3-3x^2))

\int \frac{7}{3 - 3 x ^{2}} d x

integral of x(x^2-1)^3

\int x (x^{2} - 1)^{3} d x

tangent of 3x^2-26x+8 tangent of

3 x^{2} - 26 x + 8

Frequently Asked Questions (FAQ)

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