6) Consider the differential equation yJJ + byJ + 16y = 0 For which value(s) of...

6) Consider the differential equation y^JJ + by^J + 16y = 0 For which value(s) of b does the solution

I. decay rapidly to 0 as t → ∞

II. oscillate regardless of t value

III. decay while oscillating

a. For b = 10 and y(0) = 0, y^J(0) = 6, solve the initial value problem.

Expert Solution

Colby Messinger answered 1 year ago

Find the general solution of the differential equation y′′+16y=17sec2(4t) 0<t<pi/8

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