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(Solved): (Strogatz 2.4.1-6) In this question, we will consider the ODE x^()(t)=f(x(t)), for various choice ...
(Strogatz 2.4.1-6) In this question, we will consider the ODE
x^(?)(t)=f(x(t)),for various choices of right-hand side
f. Find the fixed points. Classify the linear stability of the fixed points. If linear stability analysis fails, use a graphical argument to determine the stability. Do the above tasks for the following choices of
f. (a)
f(x)=x(1-x)(b)
f(x)=x(1-x)(2-x)(c)
f(x)=tanx(d)
f(x)=x^(2)(6-x)(e)
f(x)=1-e^(x^(2))(f)
f(x)=1-e^(-x^(2))(g)
f(x)=logx