Question: Use Mathematica or Maple to derive the trajectory {y(t),r(t)} for examples 10.5 and 10.6 in section 10.6. Verify the statements in the text, namely (i)

Use Mathematica or Maple to derive the trajectory {y(t),r(t)} for examples 10.5 and 10.6 in section 10.6. Verify the statements in the text, namely

(i) Example 10.5 leads to a stable path which appears to traverse a straight line path after a certain time period.

(ii) Example 10.6 leads to an unstable spiral.

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