Solved: In 25–28, use the elimination method to find a

Chapter 5, Problem 27E

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QUESTION:

In Problems , use the elimination method to find a general solution for the given system of three equations in the three unknown functions \(x(t), y(t), z(t)\)

                                    \(x^{\prime}=4 x-4 z\),
                                   \(y^{\prime}=4 y-2 z\)

                                    \(z^{\prime}=2 x-4 y+4 z\)

Equation transcription:

Text transcription:

x(t), y(t), z(t)

x^{prime}=4 x-4 z

y^{prime}=4 y-2 z

z^{prime}=2 x-4 y+4 z

Questions & Answers

QUESTION:

In Problems , use the elimination method to find a general solution for the given system of three equations in the three unknown functions \(x(t), y(t), z(t)\)

                                    \(x^{\prime}=4 x-4 z\),
                                   \(y^{\prime}=4 y-2 z\)

                                    \(z^{\prime}=2 x-4 y+4 z\)

Equation transcription:

Text transcription:

x(t), y(t), z(t)

x^{prime}=4 x-4 z

y^{prime}=4 y-2 z

z^{prime}=2 x-4 y+4 z

ANSWER:

Solution. Our aim is to solve the given system of equation using Elimination method i.e. to find the general solution of

Step 1. Given set of equation named as follows

…………………… (1)

………………….. (2)

……………………. (3)

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