Program Explanation Given information: The differential equation is y ′ + y = 2 and the initial condition is y ( 0 ) = 0 . Calculation: The given differential equation is y ′ + y = 2 . The given differential equation is the linear differential equation. Compare the given differential equation with a general linear differential equation to obtain the value of P ( x ) , Q ( x ) P ( x ) = 1 , Q ( x ) = 2 Now find the integrating factor IF as, IF = e ∫ p ( x ) d x = e ∫ 1 ⋅ d x = e x Now substitute e x for IF , 2 for Q ( x ) in equation (1) to obtain the general solution

Differential Equations: Computing and Modeling (5th Edition), Edwards, Penney & Calvis

5th Edition

ISBN: 9780321816252

Author: C. Henry Edwards, David E. Penney, David Calvis

Publisher: PEARSON

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Chapter 1.5, Problem 1P

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Program Description: The purpose of the problem is to find the particular solution of the differential equation y′+y=2 .

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Chapter 1.4, Problem 69P

Chapter 1.5, Problem 2P

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Chapter 1 Solutions

Differential Equations: Computing and Modeling (5th Edition), Edwards, Penney & Calvis

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Program Description: The purpose of the problem is to find the particular solution of the differential equation y ′ + y = 2 .

Solution Summary: The author explains how the problem uses the integrating factor method in the linear differential equation.

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Program Description: The purpose of the problem is to find the particular solution of the differential equation y′+y=2 .

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Chapter 1 Solutions