Solved: In 29 and 30, determine the range of values (if

Chapter 5, Problem 30E

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QUESTION:

In Problems 29 and 30, determine the range of values (if any) of the parameter  that will ensure all solutions ,  of the given system remain bounded as

                         \(\frac{d x}{d t}=x+\lambda y\)

                         \(\frac{d y}{d t}=x-y\)

Equation transcription:

Text transcription:

frac{d x}{d t}=x+lambda y

frac{d y}{d t}=x-y

Questions & Answers

QUESTION:

In Problems 29 and 30, determine the range of values (if any) of the parameter  that will ensure all solutions ,  of the given system remain bounded as

                         \(\frac{d x}{d t}=x+\lambda y\)

                         \(\frac{d y}{d t}=x-y\)

Equation transcription:

Text transcription:

frac{d x}{d t}=x+lambda y

frac{d y}{d t}=x-y

ANSWER:

Solution

Step 1 of 3

In this problem we have to determine the value of such that the solutions of the given system remains bounded as .

Given differential equation

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