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Popular >

x^'=x-x^2

Solution

x^{^{'}} = x - x^{2}

Solution

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

Solution steps

x^{'} (t) = x - x^{2}

Solve separable ODE:

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

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

Graph

Popular Examples

derivative of e^{2x}+e^{-2x}

\frac{d}{d x} (e^{2 x} + e^{- 2 x})

integral of e^{iwt+ibt}

\int e^{i wt + ib t} d t

limit as x approaches 3 of x+4

x \to 3 lim (x + 4)

limit as x approaches 1 of (x^n-1)/(x-1)

x \to 1 lim (\frac{x ^{n} - 1}{x - 1})

limit as x approaches 5+of (-2)/(x^2-25)

x \to 5 + lim (\frac{- 2}{x ^{2} - 25})

Frequently Asked Questions (FAQ)

What is the solution for x^'=x-x^2 ?
The solution for x^'=x-x^2 is x=-(e^{t+c_{1}})/(1-e^{t+c_{1)}}