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

Transcribed Image Text:Consider the differential equation
y'' + 6y' + 9y = 0.
- 3x
(a) Verify that y₁ = e and Y2 = xe
solutions.
Y
(b) Use constants c₁ and c₂ to write the most
general solution. You may use an underscore _ to
write subscripts.
=
C₁xe
- 3x
- 3x
+ c₂e
- 3x
(c) Find the solution which satisfies y(0)
y'(0) = 3.
y =
are
=
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