Find the general solution of y" - 6y +9y = ²x Hint: First, find a particular solution of the form y = Ae²x. Next, find the general solution of the homogeneous equation y" - 6y +9y = 0. Then, add them together.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.3: Quadratic Equations
Problem 51E
icon
Related questions
Question
Find the general solution of
y" - 6y +9y = ²x
Hint: First, find a particular solution of the form y = Ae²x.
Next, find the general solution of the homogeneous equation y" - 6y +9y = 0.
Then, add them together.
Transcribed Image Text:Find the general solution of y" - 6y +9y = ²x Hint: First, find a particular solution of the form y = Ae²x. Next, find the general solution of the homogeneous equation y" - 6y +9y = 0. Then, add them together.
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer