Fundamentals of Differential Equations and Boundary Value Problems

7th Edition

ISBN: 9780321977106

Author: Nagle, R. Kent

Publisher: Pearson Education, Limited

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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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Textbook Question

Chapter 4.2, Problem 28E

In Problems 27–32, use Definition 1 to determine whether the functions y 1 and y 2 are linearly dependent on the interval ( 0 , 1 ) .

y 1 ( t ) = e 3 t , y 2 ( t ) = e − 4 t

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Chapter 4.2, Problem 27E

Chapter 4.2, Problem 29E

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Chapter 4 Solutions

Fundamentals of Differential Equations and Boundary Value Problems

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In Problems 27 – 32 , use Definition 1 to determine whether the functions y 1 and y 2 are linearly dependent on the interval ( 0 , 1 ) . y 1 ( t ) = e 3 t , y 2 ( t ) = e − 4 t

Solution Summary: The author explains that if one function is the constant multiple of another in a certain interval then both functions are linearly dependent to each other in that particular interval.

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