An autonomous differential equation is a differential equation that does not explicitly include the independent variable. If the independent variable is time, the equation is called time-invariant. First order autonomous differential equations of the form

\frac{dy}{dt} = f(y)

are very easy to solve, as they will always be separable. In addition, since y(t) will have a stationary point when f(c) = 0 for some c, y(t) = c is a solution to the equation. Such a solution is known as the equilibrium solution, and are the only constant solutions of such an equation.

Ad blocker interference detected!

Wikia is a free-to-use site that makes money from advertising. We have a modified experience for viewers using ad blockers

Wikia is not accessible if you’ve made further modifications. Remove the custom ad blocker rule(s) and the page will load as expected.