Solved: In 9–16 decide whether the method of undetermined

Chapter 4, Problem 13E

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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

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.

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