The general solution to the DE in the initial value problem (IVP) 4 (y" + 6y' +9y = 0 y (0) = 1 y'(0) = 3 is y(x) = C₁xe-3x + C₂e-3x. Imposing the initial conditions, the values of the constants C₁₂ and C₂ are C₁ = and C₂ || 32% 20°C ^O64 ENG 42 11:21 2022/10/21
The general solution to the DE in the initial value problem (IVP) 4 (y" + 6y' +9y = 0 y (0) = 1 y'(0) = 3 is y(x) = C₁xe-3x + C₂e-3x. Imposing the initial conditions, the values of the constants C₁₂ and C₂ are C₁ = and C₂ || 32% 20°C ^O64 ENG 42 11:21 2022/10/21
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
![The general solution to the DE in the initial value problem (IVP)
4
(y" + 6y' +9y = 0
y (0) = 1
y'(0) = 3
3x
is y(x) = C₁xe-³x + С₂e-³x.
Imposing the initial conditions, the values of the constants C₁ and C₂
are
C₁ =
and
C₂ =
32%
20°C
Aoàn) ENG
(42)
11:21
2022/10/21](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3795f814-f144-4171-a903-c2c6b9f2f1e8%2F1000a321-84ea-41c1-b89d-a33fadaa3439%2Fu2831p8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The general solution to the DE in the initial value problem (IVP)
4
(y" + 6y' +9y = 0
y (0) = 1
y'(0) = 3
3x
is y(x) = C₁xe-³x + С₂e-³x.
Imposing the initial conditions, the values of the constants C₁ and C₂
are
C₁ =
and
C₂ =
32%
20°C
Aoàn) ENG
(42)
11:21
2022/10/21
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