Our second ord. const. coeff. eq x(t): x¨ + bx˙ + 2x = 0.
1) What is the smallest number b>0 so that our solutions have two properties (I)x(t) → 0 as t → [infinity] (II) does not pass equilibrium more than once (no periodicity associated to them).
2) Explain why you chose that number for b in three sentences.