Observe that a constant function y = c has derivative U. Hence 3; = c is a solution to t ' = F(y) if and
Observe that a constant function y = c has derivative U. Hence 3; = c is a solution to t ' = F(y) if and only if {1' : FICC). We conclude that the equilibrium solutions correspond to the zeros of F. As an example, if y' = y(1 y] then F(c] = U 4:} C(1 e} = (I
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