у" + 8y + 25у 3 0; у(0) %3D 2 у' (0) — — 7

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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Question
Solve the initial value problem.
y" + 8y' + 25y = 0; y(0) = 2 y'(0) = - 7
Chapter 6, Section 6.2, Go Tutorial Problem 12
Good.
Find Y(s).
2.s – 9
Y(s) =
s2 + 8s + 25
2.s + 9
Y(s) = -
s2 + 8s + 25
s2 + 8s + 25
Y(s) =
2s + 9
2s + 9
Y(s) =
s² + 8s + 25
Transcribed Image Text:Solve the initial value problem. y" + 8y' + 25y = 0; y(0) = 2 y'(0) = - 7 Chapter 6, Section 6.2, Go Tutorial Problem 12 Good. Find Y(s). 2.s – 9 Y(s) = s2 + 8s + 25 2.s + 9 Y(s) = - s2 + 8s + 25 s2 + 8s + 25 Y(s) = 2s + 9 2s + 9 Y(s) = s² + 8s + 25
Chapter 6, Section 6.2, Go Tutorial Problem 12
Find y(t).
y(t)
= e-4' (6sint + sin3t)
1
-41
(6cos3t + sin3t)
y(t) =
y(t) = e-4t
(cost + sint)
y(t) = e (3cos4t + sin4t)
1
je"(6cos3t + sin3t)
y(t) =
O O
оо
Transcribed Image Text:Chapter 6, Section 6.2, Go Tutorial Problem 12 Find y(t). y(t) = e-4' (6sint + sin3t) 1 -41 (6cos3t + sin3t) y(t) = y(t) = e-4t (cost + sint) y(t) = e (3cos4t + sin4t) 1 je"(6cos3t + sin3t) y(t) = O O оо
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