The indicated function y₁(x) is a solution of the associated homogeneous equation. Use the method of reduction of order to find a second solution y₂(x) of the homogeneous equation and a particular solution y(x) of the given nonhomogeneous equation. y2₂(x) = Yp(x) y" - 5y' + 4y = x; Y₁ = ex

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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4.2.10

The indicated function y₁(x) is a solution of the associated homogeneous equation. Use the method of reduction of order to
find a second solution ⁄₂(x) of the homogeneous equation and a particular solution y(x) of the given nonhomogeneous
equation.
Y₂(x) =
=
Yp(x) =
y" − 5y' + 4y = x; Y₁ = ex
-
Transcribed Image Text:The indicated function y₁(x) is a solution of the associated homogeneous equation. Use the method of reduction of order to find a second solution ⁄₂(x) of the homogeneous equation and a particular solution y(x) of the given nonhomogeneous equation. Y₂(x) = = Yp(x) = y" − 5y' + 4y = x; Y₁ = ex -
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