= a, Consider the initial value problem 25y" + 40y' + 16y = 0, y(0) y'(0) = -1. Find the critical value of a that separates solutions that become negative from those that are always positive for t > 0. NOTE: Enter an exact answer. a =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
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3.4.1

= a,
Consider the initial value problem 25y" + 40y' + 16y = 0, y(0) =
y'(0) = −1. Find the critical value of a that separates solutions that
become negative from those that are always positive for t > 0.
NOTE: Enter an exact answer.
a
Transcribed Image Text:= a, Consider the initial value problem 25y" + 40y' + 16y = 0, y(0) = y'(0) = −1. Find the critical value of a that separates solutions that become negative from those that are always positive for t > 0. NOTE: Enter an exact answer. a
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