Given the initial value problem 2 y y' + = 0, y(0) = 28, y'(0) = b, 5 25 Find the solution as a function of b, and then determine the critical value of b that separates solutions that remain positive for all t > 0 from those that eventually become negative. NOTE: Use t as the independent variable. y" - y(t): = The critical value of b is

Calculus: Early Transcendentals
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Given the initial value problem
Y
25
Find the solution as a function of b, and then determine the critical
value of b that separates solutions that remain positive for all t > 0
from those that eventually become negative.
NOTE: Use t as the independent variable.
y".
-
y(t)
2
=
y' +
=
= 0, y(0) = 28, y'(0) = b,
The critical value of b is
Transcribed Image Text:Given the initial value problem Y 25 Find the solution as a function of b, and then determine the critical value of b that separates solutions that remain positive for all t > 0 from those that eventually become negative. NOTE: Use t as the independent variable. y". - y(t) 2 = y' + = = 0, y(0) = 28, y'(0) = b, The critical value of b is
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