That the given functions e − 4 x , x e − 4 x , x 2 e − 4 x are the solutions of the differential equation y ′ ′ ′ + 12 y ″ + 48 y ′ + 64 y = 0 and form a basis on any interval.

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Answer 1

Question

Chapter 3.1, Problem 4P

To determine

To show: That the given functions e−4x,xe−4x,x2e−4x are the solutions of the differential equation y′′′+12y″+48y′+64y=0 and form a basis on any interval.

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Answer 2

Question

Chapter 3.1, Problem 4P

To determine

To show: That the given functions e−4x,xe−4x,x2e−4x are the solutions of the differential equation y′′′+12y″+48y′+64y=0 and form a basis on any interval.

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Answer 3

Question

Chapter 3.1, Problem 4P

To determine

To show: That the given functions e−4x,xe−4x,x2e−4x are the solutions of the differential equation y′′′+12y″+48y′+64y=0 and form a basis on any interval.

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Answer 4

Question

Chapter 3.1, Problem 4P

To determine

To show: That the given functions e−4x,xe−4x,x2e−4x are the solutions of the differential equation y′′′+12y″+48y′+64y=0 and form a basis on any interval.

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Answer 5

Chapter 3.1, Problem 4P

To determine

To show: That the given functions e−4x,xe−4x,x2e−4x are the solutions of the differential equation y′′′+12y″+48y′+64y=0 and form a basis on any interval.

Answer 6

Chapter 3.1, Problem 4P

To determine

To show: That the given functions e−4x,xe−4x,x2e−4x are the solutions of the differential equation y′′′+12y″+48y′+64y=0 and form a basis on any interval.

Answer 7

Chapter 3.1, Problem 4P

To determine

To show: That the given functions e−4x,xe−4x,x2e−4x are the solutions of the differential equation y′′′+12y″+48y′+64y=0 and form a basis on any interval.

Answer 8

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Answer 9

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Answer 10

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Answer 11

Ch. 3.1 - 1–6 BASES: TYPICAL EXAMPLES To get a feel for...Ch. 3.1 - 1–6 BASES: TYPICAL EXAMPLES To get a feel for...Ch. 3.1 - 1–6 BASES: TYPICAL EXAMPLES To get a feel for...Ch. 3.1 - 1–6 BASES: TYPICAL EXAMPLES To get a feel for...Ch. 3.1 - Prob. 5P Ch. 3.1 - Prob. 6P Ch. 3.1 - Prob. 8P Ch. 3.1 - Prob. 9P Ch. 3.1 - Prob. 10P Ch. 3.1 - Prob. 11P

That the given functions e − 4 x , x e − 4 x , x 2 e − 4 x are the solutions of the differential equation y ′ ′ ′ + 12 y ″ + 48 y ′ + 64 y = 0 and form a basis on any interval.

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To show: That the given functions e−4x,xe−4x,x2e−4x are the solutions of the differential equation y′′′+12y″+48y′+64y=0 and form a basis on any interval.

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Chapter 3 Solutions