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Solved: In 9 and 10, find a particular solution first by
Chapter 4, Problem 10E(choose chapter or problem)
In Problems 9 and 10, find a particular solution first by undetermined coefficients, and then by variation of parameters. Which method was quicker?
\(2 x^{\prime \prime}(t)-2 x^{\prime}(t)-4 x(t)=2 e^{2 t}\)
Equation Transcription:
Text Transcription:
2x''(t)-2x'(t)-4x(t)=2e^2t
Questions & Answers
QUESTION:
In Problems 9 and 10, find a particular solution first by undetermined coefficients, and then by variation of parameters. Which method was quicker?
\(2 x^{\prime \prime}(t)-2 x^{\prime}(t)-4 x(t)=2 e^{2 t}\)
Equation Transcription:
Text Transcription:
2x''(t)-2x'(t)-4x(t)=2e^2t
ANSWER:
Solution
Step 1
In this problem, we have find the particular solution by undetermined coefficient and then variation of parameters.