That the point x = 1 is a regular singular point of the given differential equation ln x y ″ + 1 2 y ′ + y = 0 .

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Answer 1

Question

Chapter 5.6, Problem 13P

(a)

To determine

To show: That the point x=1 is a regular singular point of the given differential equation lnxy″+12y′+y=0.

(b)

To determine

The roots of the indicial equation at x=1.

(c)

To determine

The first three nonzero terms corresponding to the larger root.

(d)

To determine

To observe: On the convergence radius of the series.

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Answer 2

Question

Chapter 5.6, Problem 13P

(a)

To determine

To show: That the point x=1 is a regular singular point of the given differential equation lnxy″+12y′+y=0.

(b)

To determine

The roots of the indicial equation at x=1.

(c)

To determine

The first three nonzero terms corresponding to the larger root.

(d)

To determine

To observe: On the convergence radius of the series.

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Answer 3

Question

Chapter 5.6, Problem 13P

(a)

To determine

To show: That the point x=1 is a regular singular point of the given differential equation lnxy″+12y′+y=0.

(b)

To determine

The roots of the indicial equation at x=1.

(c)

To determine

The first three nonzero terms corresponding to the larger root.

(d)

To determine

To observe: On the convergence radius of the series.

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Answer 4

Question

Chapter 5.6, Problem 13P

(a)

To determine

To show: That the point x=1 is a regular singular point of the given differential equation lnxy″+12y′+y=0.

(b)

To determine

The roots of the indicial equation at x=1.

(c)

To determine

The first three nonzero terms corresponding to the larger root.

(d)

To determine

To observe: On the convergence radius of the series.

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Answer 5

Chapter 5.6, Problem 13P

(a)

To determine

To show: That the point x=1 is a regular singular point of the given differential equation lnxy″+12y′+y=0.

(b)

To determine

The roots of the indicial equation at x=1.

(c)

To determine

The first three nonzero terms corresponding to the larger root.

(d)

To determine

To observe: On the convergence radius of the series.

Answer 6

Chapter 5.6, Problem 13P

(a)

To determine

To show: That the point x=1 is a regular singular point of the given differential equation lnxy″+12y′+y=0.

Answer 7

Chapter 5.6, Problem 13P

(a)

To determine

To show: That the point x=1 is a regular singular point of the given differential equation lnxy″+12y′+y=0.

Answer 8

(b)

To determine

The roots of the indicial equation at x=1.

Answer 9

(b)

To determine

The roots of the indicial equation at x=1.

Answer 10

(c)

To determine

The first three nonzero terms corresponding to the larger root.

Answer 11

(c)

To determine

The first three nonzero terms corresponding to the larger root.

Answer 12

(d)

To determine

To observe: On the convergence radius of the series.

Answer 13

(d)

To determine

To observe: On the convergence radius of the series.

Answer 14

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Answer 15

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Answer 16

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Answer 17

Ch. 5.1 - Prob. 1P Ch. 5.1 - Prob. 2P Ch. 5.1 - Prob. 3P Ch. 5.1 - Prob. 4P Ch. 5.1 - Prob. 5P Ch. 5.1 - Prob. 6P Ch. 5.1 - Prob. 7P Ch. 5.1 - Prob. 8P Ch. 5.1 - Prob. 9P Ch. 5.1 - Prob. 10P

That the point x = 1 is a regular singular point of the given differential equation ln x y ″ + 1 2 y ′ + y = 0 .

To show: That the point x=1 is a regular singular point of the given differential equation lnxy″+12y′+y=0.

The roots of the indicial equation at x=1.

The first three nonzero terms corresponding to the larger root.

To observe: On the convergence radius of the series.

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Chapter 5 Solutions