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Solved: In 9–16 decide whether the method of undetermined
Chapter 4, Problem 13E(choose chapter or problem)
In Problems 9-16 decide whether the method of undetermined coefficients together with superposition can be applied to find a particular solution of the given equation. Do not solve the equation.
\(2 y^{\prime \prime}+3 y^{\prime}-4 y=2 t+\sin ^{2} t+3\)
Equation Transcription:
Text Transcription:
2y''+3y'-4y=2t+sin^2 t+3
Questions & Answers
QUESTION:
In Problems 9-16 decide whether the method of undetermined coefficients together with superposition can be applied to find a particular solution of the given equation. Do not solve the equation.
\(2 y^{\prime \prime}+3 y^{\prime}-4 y=2 t+\sin ^{2} t+3\)
Equation Transcription:
Text Transcription:
2y''+3y'-4y=2t+sin^2 t+3
ANSWER:
Solution:
Step 1:
Strategy for undetermined coefficients is utilized for finding an answer for a nonhomogeneous straight condition with steady coefficients and the term on right-hand side ought not to have the negative power of t.