To verify: The equation y ″ + b y ′ + c y = g ( t ) can be written in the factored form ( D − r 1 ) ( D − r 2 ) y = g ( t ) , where r 1 + r 2 = − b and r 1 r 2 = c .

Question

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Answer 1

Question

Chapter 3.5, Problem 27P

(a)

To determine

To verify: The equation y″+by′+cy=g(t) can be written in the factored form (D−r1)(D−r2)y=g(t), where r1+r2=−b and r1r2=c.

(b)

To determine

To show: The solution of equation y″+by′+cy=g(t) can be found by solving following two first order equations (D−r1)u=g(t),(D−r2)y=u(t).

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Answer 2

Question

Chapter 3.5, Problem 27P

(a)

To determine

To verify: The equation y″+by′+cy=g(t) can be written in the factored form (D−r1)(D−r2)y=g(t), where r1+r2=−b and r1r2=c.

(b)

To determine

To show: The solution of equation y″+by′+cy=g(t) can be found by solving following two first order equations (D−r1)u=g(t),(D−r2)y=u(t).

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Answer 3

Question

Chapter 3.5, Problem 27P

(a)

To determine

To verify: The equation y″+by′+cy=g(t) can be written in the factored form (D−r1)(D−r2)y=g(t), where r1+r2=−b and r1r2=c.

(b)

To determine

To show: The solution of equation y″+by′+cy=g(t) can be found by solving following two first order equations (D−r1)u=g(t),(D−r2)y=u(t).

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Answer 4

Question

Chapter 3.5, Problem 27P

(a)

To determine

To verify: The equation y″+by′+cy=g(t) can be written in the factored form (D−r1)(D−r2)y=g(t), where r1+r2=−b and r1r2=c.

(b)

To determine

To show: The solution of equation y″+by′+cy=g(t) can be found by solving following two first order equations (D−r1)u=g(t),(D−r2)y=u(t).

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Answer 5

Chapter 3.5, Problem 27P

(a)

To determine

To verify: The equation y″+by′+cy=g(t) can be written in the factored form (D−r1)(D−r2)y=g(t), where r1+r2=−b and r1r2=c.

(b)

To determine

To show: The solution of equation y″+by′+cy=g(t) can be found by solving following two first order equations (D−r1)u=g(t),(D−r2)y=u(t).

Answer 6

Chapter 3.5, Problem 27P

(a)

To determine

To verify: The equation y″+by′+cy=g(t) can be written in the factored form (D−r1)(D−r2)y=g(t), where r1+r2=−b and r1r2=c.

Answer 7

Chapter 3.5, Problem 27P

(a)

To determine

To verify: The equation y″+by′+cy=g(t) can be written in the factored form (D−r1)(D−r2)y=g(t), where r1+r2=−b and r1r2=c.

Answer 8

(b)

To determine

To show: The solution of equation y″+by′+cy=g(t) can be found by solving following two first order equations (D−r1)u=g(t),(D−r2)y=u(t).

Answer 9

(b)

To determine

To show: The solution of equation y″+by′+cy=g(t) can be found by solving following two first order equations (D−r1)u=g(t),(D−r2)y=u(t).

Answer 10

Expert Solution & Answer

Answer 11

Expert Solution & Answer

Answer 12

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Answer 13

Ch. 3.1 - Prob. 1P Ch. 3.1 - Prob. 2P Ch. 3.1 - Prob. 3P Ch. 3.1 - Prob. 4P Ch. 3.1 - Prob. 5P Ch. 3.1 - Prob. 6P Ch. 3.1 - Prob. 7P Ch. 3.1 - Prob. 8P Ch. 3.1 - Prob. 9P Ch. 3.1 - Prob. 10P

To verify: The equation y ″ + b y ′ + c y = g ( t ) can be written in the factored form ( D − r 1 ) ( D − r 2 ) y = g ( t ) , where r 1 + r 2 = − b and r 1 r 2 = c .

To verify: The equation y″+by′+cy=g(t) can be written in the factored form (D−r1)(D−r2)y=g(t), where r1+r2=−b and r1r2=c.

To show: The solution of equation y″+by′+cy=g(t) can be found by solving following two first order equations (D−r1)u=g(t),(D−r2)y=u(t).

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Chapter 3 Solutions