Answer: In each of 10 through 12, solve the given initial value problem. Describe the

Chapter 7, Problem 12

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QUESTION:

In each of 10 through 12, solve the given initial value problem. Describe the behavior of the solution as t .x_ = 0 0 1 2 0 0 1 2 4 x, x(0) = 755 1

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QUESTION:

In each of 10 through 12, solve the given initial value problem. Describe the behavior of the solution as t .x_ = 0 0 1 2 0 0 1 2 4 x, x(0) = 755 1

ANSWER:

Step 1 of 5

Write the characteristic polynomial of the matrix from the given equation.

                                                  

The eigenvalues are as follows,

                                                                           

An eigenvector  belonging to an eigenvalue  is the solution of the equation.

                                                                  

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