Consider the differential equation y'' + 6y' +9y = 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...
Question
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
=
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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