Program Explanation Given information: The differential equation is y ″ + y = 0 . Calculation: By inspection the solution of the given differential equation is y = sin x . Label the equation as follows: y = sin x ....... (1) Label the given differential equation as follows: y ″ + y = 0 ....... (2) Differentiate the equation (1) with respect to x as follows: y ′ = d ( sin x ) d x = cos x Again differentiate the y ′ = cos x with respect to x as follows: y ″ = d ( cos x ) d x = − sin x </

5th Edition

ISBN: 9780135988510

Author: Edwards

Publisher: PEARSON CO

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Rod Cutting

A naïve solution for the above-stated problem is to evaluate all of the possible combinations of different pieces of varying size to find the maximum revenue-generating combination. Although this method seems the easiest and quick to practice, it has exp…

Question

Chapter 1.1, Problem 42P

Program Plan Intro

To find: At least one solution of the given differential equation y″+y=0 .

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Chapter 1.1, Problem 41P

Chapter 1.1, Problem 43P

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Chapter 1 Solutions

EP DIFF.EQUAT.+BOUND.VALUE,...UPD.-ACC.

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At least one solution of the given differential equation y ″ + y = 0 .

Solution Summary: The author explains the differential equation y′′+y=0 and its solution.

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To find: At least one solution of the given differential equation y″+y=0 .

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Chapter 1 Solutions