In 3–18, use the elimination method to find a

Chapter 5, Problem 10E

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QUESTION:

In Problems 3-18, use the elimination method to find a general solution for the given linear system, where differentiation is with respect to .

                                   \(2 x^{\prime}+y^{\prime}-x-y=e^{-t}\),
                                   \(x^{\prime}+y^{\prime}+2 x+y=e^{t}\)

Equation transcription:

Text transcription:

2 x^{prime}+y^{prime}-x-y=e^{-t}

x^{prime}+y^{prime}+2 x+y=e^{t}

Questions & Answers

QUESTION:

In Problems 3-18, use the elimination method to find a general solution for the given linear system, where differentiation is with respect to .

                                   \(2 x^{\prime}+y^{\prime}-x-y=e^{-t}\),
                                   \(x^{\prime}+y^{\prime}+2 x+y=e^{t}\)

Equation transcription:

Text transcription:

2 x^{prime}+y^{prime}-x-y=e^{-t}

x^{prime}+y^{prime}+2 x+y=e^{t}

ANSWER:

Solution:

Step 1:

In this problem we need to find a general solution for the linear system , by using the elimination method.

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