Explanation Given information: The provided first order linear initial value problem is d y d x + y x = sin x x . The above equation passes through ( − 2 , 0 ) and the graphical solution is, Concept used: The first order linear initial value problem is of the form, d y d x + p ( x ) y = q ( x ) The general solution is given by, y = 1 I ( x ) [ ∫ I ( x ) q ( x ) d x + C ] ; where I ( x ) is the integrating factor and equals to I ( x ) = e ∫ p ( x ) d x . Consider the first order linear initial value problem d y d x + y x = sin x x . The integrating factor is, I ( x ) = e ∫ ( 1 x ) d x = e ln ( x ) = x The general solution is given by, y = 1 x [ ∫ ( x ) ( <

Student's Solution and Survival Manual for Calculus

7th Edition

ISBN: 9781524934040

Author: STRAUSS MONTY J, TODA MAGDALENA DANIELE, SMITH KARL J

Publisher: Kendall Hunt Publishing

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Chapter 14.1, Problem 8PS

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The solution of the first order linear initial value problem dydx+yx=sinxx and compare the result with the provided graphical solution.

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Chapter 14.1, Problem 7PS

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Chapter 14 Solutions

Student's Solution and Survival Manual for Calculus

Ch. 14.1 - Prob. 1PS Ch. 14.1 - Prob. 2PS Ch. 14.1 - Prob. 3PS Ch. 14.1 - Prob. 4PS Ch. 14.1 - Prob. 5PS Ch. 14.1 - Prob. 6PS Ch. 14.1 - Prob. 7PS Ch. 14.1 - Prob. 8PS Ch. 14.1 - Prob. 9PS Ch. 14.1 - Prob. 10PS

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The solution of the first order linear initial value problem d y d x + y x = sin x x and compare the result with the provided graphical solution.

Solution Summary: The author compares the solution of the first order linear initial value problem with the provided graphical solution.

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The solution of the first order linear initial value problem dydx+yx=sinxx and compare the result with the provided graphical solution.

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Chapter 14 Solutions