Solve the following CDES by variation of paramete y" + 5y' + 4y = x²e²x

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 59E
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Solve the following CDES by variation of parameters method:
y" + 5y' + 4y = x² e²x
Ans:
y=c₁e¯4x+c₂e¯× + €²x(²1x² − 1/3x+12/¹1)
e2x
18
Transcribed Image Text:Solve the following CDES by variation of parameters method: y" + 5y' + 4y = x² e²x Ans: y=c₁e¯4x+c₂e¯× + €²x(²1x² − 1/3x+12/¹1) e2x 18
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