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Popular >

x^'=x(1-x)

Solution

x^{^{'}} = x (1 - x)

Solution

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

Solution steps

x^{'} (t) = x (1 - x)

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

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Frequently Asked Questions (FAQ)

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