Explanation Given Information: f " ( x ) − 7 f ' ( x ) + 12 f ( x ) = 0 Concept used: This type of differential equation will have a solution of the form: f ( x ) = a e c x + b e d x where a and b can vary. Calculation: Let’s assume that a = b = 1 for this case to make it simpler when solving for c and d . Thus we will have. f ( x ) = e c x + e d x f ' ( x ) = c e c x + d e d x f " ( x ) = c 2 c c x + d 2 e d x Now if we replace these values into the equation f " ( x ) − 7 f ' ( x ) + 12 f ( x ) = 0 we will have

Linear Algebra with Applications (2-Download)

5th Edition

ISBN: 9780321796974

Author: Otto Bretscher

Publisher: PEARSON

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differentia…

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Chapter 4.1, Problem 51E

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To find all solutions to tile differential equation:

f"(x)−7f'(x)+12f(x)=0

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Chapter 4.1, Problem 50E

Chapter 4.1, Problem 52E

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Linear Algebra with Applications (2-Download)

Ch. 4.1 - GOAL Find a basis of a linear space and thus...Ch. 4.1 - GOAL Find a basis of a linear space and thus...Ch. 4.1 - GOAL Find a basis of a linear space and thus...Ch. 4.1 - GOAL Find a basis of a linear space and thus...Ch. 4.1 - GOAL Find a basis of a linear space and thus...Ch. 4.1 - Which of the subsets V of 33given in Exercises 6...Ch. 4.1 - Which of the subsets V of 33given in Exercises 6...Ch. 4.1 - Which of the subsets V of 33given in Exercises 6...Ch. 4.1 - Which of the subsets V of 33given in Exercises 6...Ch. 4.1 - Which of the subsets V of 33given in Exercises 6...

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To find all solutions to tile differential equation: f " ( x ) − 7 f ' ( x ) + 12 f ( x ) = 0

Solution Summary: The author explains that the solution to the tile differential equation will be of the form: f(x)=aecx&b=1.

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To find all solutions to tile differential equation:

f"(x)−7f'(x)+12f(x)=0

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Chapter 4 Solutions

To find all solutions to tile differential equation: f " ( x ) − 7 f ' ( x ) + 12 f ( x ) = 0

Solution Summary: The author explains that the solution to the tile differential equation will be of the form: f(x)=aecx&b=1.

Concept explainers

Videos

To find all solutions to tile differential equation: f"(x)−7f'(x)+12f(x)=0

Want to see the full answer?

Chapter 4 Solutions

To find all solutions to tile differential equation:

f"(x)−7f'(x)+12f(x)=0