The general solution to the DE in the initial value problem (IVP) (y" + 8y' +16y = 0 y(0) = 1 y'(0) = 4 y(x) = C₁xe-4x + С₂e-4x. Imposing the initial conditions, the values of the constants C₁ and C₂
The general solution to the DE in the initial value problem (IVP) (y" + 8y' +16y = 0 y(0) = 1 y'(0) = 4 y(x) = C₁xe-4x + С₂e-4x. Imposing the initial conditions, the values of the constants C₁ and C₂
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)
(y" + 8y' + 16y=0
y(0) = 1
y'(0) = 4
y(x) = C₁xe¯4x + С₂e-4x.
Imposing the initial
conditions, the
values of the
constants C₁ and C₂
are
C₁ =
=
and
C₂
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F127cb3e0-a29c-4a03-97bb-e0ced4c9c118%2F412372f9-1b9c-4440-8eed-20e4428395f0%2F1xsvgj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The general solution
to the DE in the
initial value problem
(IVP)
(y" + 8y' + 16y=0
y(0) = 1
y'(0) = 4
y(x) = C₁xe¯4x + С₂e-4x.
Imposing the initial
conditions, the
values of the
constants C₁ and C₂
are
C₁ =
=
and
C₂
=
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