QUESTION FOUR (a) Find the maximal solutions for the following initial value problems dx (i) (ii)...

 

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QUESTION FOUR (a) Find the maximal solutions for the following initial value problems dx (i) (ii) = x dt x(0) =< dx =cos dt (X(to) = C, to # 0 [0, {2(1²xXx),xe (1/2, 1) (b) Verify whether the tent map f₂(x) = extended to a map g: [1,1] → [1,1] defined by g(x) = Where the function is a le-limit set. (-f₂(x),x € [-1,0] -f₂(x),x € [0, 1] [5 Marks] [5 Marks] [5 Marks] QUESTION FOUR (a) Find the maximal solutions for the following initial value problems dx (i) (ii) = x dt x(0) =< dx =cos dt (X(to) = C, to # 0 [0, {2(1²xXx),xe (1/2, 1) (b) Verify whether the tent map f₂(x) = extended to a map g: [1,1] → [1,1] defined by g(x) = Where the function is a le-limit set. (-f₂(x),x € [-1,0] -f₂(x),x € [0, 1] [5 Marks] [5 Marks] [5 Marks]

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The image you have provided contains two parts a and b that consist of questions related to differential equations and dynamical systems I will address each part separately a i The first initial value ... View the full answer