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6. Consider the following system 3 a) Take the case a = . Use a trapping region as in Poincare Bendixsons Theorem to show th
0 0
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Answer #1

0 dl t d+ X dt dr dt 2. imil dtIn nbhd of o 2. Here als Sam tyrr

Plot for a=0.5

4.5 1.5 0.5 0.5 1.5 -2.5 -3.5 5 -4.5 4-3.5 3 2.5 -2 -1.5-1 -0.5 00.5 1 1.5225 3 3.544.5

Plot for a= 1

4.5 3.5 1.5 0.5 0.5 1.5 -2 -2.5 -3 -3.5 5 -4.5 4-3.5 3 2.5 -2 -1.5-1 -0.5 00.5 1 1.5225 3 3.544.5

As there is cos term in change in radius so qualitative there is no change as we adjust trap by changing angle or radius

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