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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0e20ff59-9e0f-4b56-8ce7-e53687771f24%2F57975548-e5db-4599-9760-9f4e2356b50d%2Fc47rfz_processed.jpeg&w=3840&q=75)
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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