Answer: In each of 11 through 13, determine the values of r for which the given

Chapter 1, Problem 12

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QUESTION:

In each of Problems 11 through 13, determine the values of for which the given differential equation has solutions of the form y = ert

y” + y’ − 6y = 0

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QUESTION:

In each of Problems 11 through 13, determine the values of for which the given differential equation has solutions of the form y = ert

y” + y’ − 6y = 0

ANSWER:

Step 1 of 2

Given differential equation is

It is a second order linear homogeneous ordinary differential equation. Let us consider the solution of the equation be in the form of .

Differentiating with respect to  twice,

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