Question: (a) Prove that if ui (t) and u2 (t) are any two distinct solutions to du/dt = au with a > 0, then |u1(t) -

(a) Prove that if ui (t) and u2 (t) are any two distinct solutions to
du/dt = au
with a > 0, then |u1(t) - u2(t)| → ∞ as t → ∞.
(b) If a = .02 and u1(0) = .1, u2(0) = .05, how long do you have to wait until |u1(t) - u2(t)| > 1.000?

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