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  3. consider the nonlinear dtds tl 1104rt where r gt 0...

Question: consider the nonlinear dtds tl 1104rt where r gt 0...

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Consider the nonlinear DTDS TL 11+0.4rt where r > 0 is some parameter a) Calculate the fixed point(s). If there are multiple, separate them with a semi-colon () (Note: the answer may contain the parameter r.) Answer b) Set r 4. Calculate 1, 2, 3, 4 starting from o 3 with an accuracy of two decimal places 1Number T9- Number 2Number and Number c) Still with r 4, calculate 1, .3, 4 starting from zo 10.5 with an accuracy of two decimal places Number 2Number Number and Number d) Do you observe a trend in these values? If so, what is it? (You may need to compute more points on the orbits in (b) and (c) above to be able to reach a conclusion.) O Unless the initial condition zo 0 is an equilibrium point, the solution z0,1,2,. .. diverges towards infinity O Unless the initial condition zo> 0 is an equilibrium point, the solution o,1, either converges to 0 or diverges towards infinity if o >0, then independently of the exact choice of this initial condition, the solution 0,12.. converges toward the same equilibrium point O Unless the initial condition zo > 0 is an equilibrium point, the solution o,1,, . .travels randomly on the real line without converging

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