The solution of the homogeneous linear DE with constant coefficients when m 1 = 3 , m 2 = − 5 and m 3 = 1 are roots of multiplicity one, two and three, respectively of an auxiliary equation.

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Answer 1

Question

Chapter 3, Problem 11CR

(a)

To determine

To write: The solution of the homogeneous linear DE with constant coefficients when m1=3,m2=−5 and m3=1 are roots of multiplicity one, two and three, respectively of an auxiliary equation.

(b)

To determine

To write: The solution of the homogeneous linear Cauchy Euler DE when m1=3,m2=−5 and m3=1 are roots of multiplicity one, two and three, respectively of an auxiliary equation.

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Answer 2

Question

Chapter 3, Problem 11CR

(a)

To determine

To write: The solution of the homogeneous linear DE with constant coefficients when m1=3,m2=−5 and m3=1 are roots of multiplicity one, two and three, respectively of an auxiliary equation.

(b)

To determine

To write: The solution of the homogeneous linear Cauchy Euler DE when m1=3,m2=−5 and m3=1 are roots of multiplicity one, two and three, respectively of an auxiliary equation.

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Answer 3

Question

Chapter 3, Problem 11CR

(a)

To determine

To write: The solution of the homogeneous linear DE with constant coefficients when m1=3,m2=−5 and m3=1 are roots of multiplicity one, two and three, respectively of an auxiliary equation.

(b)

To determine

To write: The solution of the homogeneous linear Cauchy Euler DE when m1=3,m2=−5 and m3=1 are roots of multiplicity one, two and three, respectively of an auxiliary equation.

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Answer 4

Question

Chapter 3, Problem 11CR

(a)

To determine

To write: The solution of the homogeneous linear DE with constant coefficients when m1=3,m2=−5 and m3=1 are roots of multiplicity one, two and three, respectively of an auxiliary equation.

(b)

To determine

To write: The solution of the homogeneous linear Cauchy Euler DE when m1=3,m2=−5 and m3=1 are roots of multiplicity one, two and three, respectively of an auxiliary equation.

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Answer 5

Chapter 3, Problem 11CR

(a)

To determine

To write: The solution of the homogeneous linear DE with constant coefficients when m1=3,m2=−5 and m3=1 are roots of multiplicity one, two and three, respectively of an auxiliary equation.

(b)

To determine

To write: The solution of the homogeneous linear Cauchy Euler DE when m1=3,m2=−5 and m3=1 are roots of multiplicity one, two and three, respectively of an auxiliary equation.

Answer 6

Chapter 3, Problem 11CR

(a)

To determine

To write: The solution of the homogeneous linear DE with constant coefficients when m1=3,m2=−5 and m3=1 are roots of multiplicity one, two and three, respectively of an auxiliary equation.

Answer 7

Chapter 3, Problem 11CR

(a)

To determine

To write: The solution of the homogeneous linear DE with constant coefficients when m1=3,m2=−5 and m3=1 are roots of multiplicity one, two and three, respectively of an auxiliary equation.

Answer 8

(b)

To determine

To write: The solution of the homogeneous linear Cauchy Euler DE when m1=3,m2=−5 and m3=1 are roots of multiplicity one, two and three, respectively of an auxiliary equation.

Answer 9

(b)

To determine

To write: The solution of the homogeneous linear Cauchy Euler DE when m1=3,m2=−5 and m3=1 are roots of multiplicity one, two and three, respectively of an auxiliary equation.

Answer 10

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Answer 11

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Answer 12

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Answer 13

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

The solution of the homogeneous linear DE with constant coefficients when m 1 = 3 , m 2 = − 5 and m 3 = 1 are roots of multiplicity one, two and three, respectively of an auxiliary equation.

Solution Summary: The author explains the solution of the homogeneous linear DE with constant coefficients.

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To write: The solution of the homogeneous linear DE with constant coefficients when m1=3,m2=−5 and m3=1 are roots of multiplicity one, two and three, respectively of an auxiliary equation.

To write: The solution of the homogeneous linear Cauchy Euler DE when m1=3,m2=−5 and m3=1 are roots of multiplicity one, two and three, respectively of an auxiliary equation.

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