Answer: In each of 4 through 6, determine a lower bound for the radius of convergence of

Chapter 5, Problem 6

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QUESTION:

In each of 4 through 6, determine a lower bound for the radius of convergence of series solutions (1 + x3) y__ + 4xy_ + y = 0; x0 = 0, x0 = 2

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QUESTION:

In each of 4 through 6, determine a lower bound for the radius of convergence of series solutions (1 + x3) y__ + 4xy_ + y = 0; x0 = 0, x0 = 2

ANSWER:

Step 1 of 4

Consider the given differential equation.

                                                           

Compare the given differential equation with .

                                                                        

If  and  has a convergent power series expansion about point , then the radius of convergence of the power series for  is the distance from  to the nearest zero of the .

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