G 20 Consider the initial value problem y + 2 cos t, y(0) = -1. %3D %3D Find the coordinates of the first local maximum point of the solution for t> 0.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
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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Number20. Help me out

18. ty
solving
N 19. Consider the initial value problem
y +y = 1 - 3t, y(0) = yo-
y = 1 ·
2
Find the value of yo for which the solution touches, but does not cross.
the t-axis.
G 20. Consider the initial value problem
1
y'-
y = 2 cos t, y(0) = –1.
%3D
21
Find the coordinates of the first local maximum point of the solution
for t > 0.
21. Find the value of yo for which the solution of the initial value
problem
y – y = 2 +3 sin t, y(0) = yo
remains finite as t → ∞.
22. Consider the initial value problem
y+
= 3 +2 cos(2t), y(0) = 0.
%3D
a. Find the
Transcribed Image Text:18. ty solving N 19. Consider the initial value problem y +y = 1 - 3t, y(0) = yo- y = 1 · 2 Find the value of yo for which the solution touches, but does not cross. the t-axis. G 20. Consider the initial value problem 1 y'- y = 2 cos t, y(0) = –1. %3D 21 Find the coordinates of the first local maximum point of the solution for t > 0. 21. Find the value of yo for which the solution of the initial value problem y – y = 2 +3 sin t, y(0) = yo remains finite as t → ∞. 22. Consider the initial value problem y+ = 3 +2 cos(2t), y(0) = 0. %3D a. Find the
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