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- Thread starter ehabmozart
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pasmith

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An equilibrium solution is a solution which is a constant. Since the derivative of a constant is zero, a constant solution [itex]v(t) = v_0[/itex] of [itex]\dot v(t) = f(v(t))[/itex] must satisfy [itex]f(v_0) = 0[/itex].

Thus any equilibrium solution of [itex]\dot v = 9.8 - \frac15 v[/itex] must satisfy [itex]9.8 - \frac15 v = 0[/itex], ie. [itex]v(t) = 49[/itex].

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