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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
Publisher: Cengage Learning
ISBN: 9781305860919

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BuyFindarrow_forward

Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
Publisher: Cengage Learning
ISBN: 9781305860919
Chapter 11, Problem 57RE
Textbook Problem
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Solving a Linear Differential Equation In Exercises 57–64, find the general solution of the first-order linear differential equation.

d y d x + 4 y = 8

To determine

To calculate: The general solution of first order linear differential equation of dydx+4y=8

Explanation of Solution

Given Information:

First order linear differential equation is c

Formula used:

Standard differential equation form:

dydx+P(x)y=Q(x)

The general solution of standard differential equation is y=1u(x)u(x).Q(x)dx.

Where, u(x) is integrating factor. And defined as below,

u(x)=eP(x)dx

Calculation:

Consider the given equation

dydx+4y=8

Compare the given equation dydx+4y=8 with the equation, dydx+P(x)y=Q(x)

Comparing given equation with primary equation

P(x)=4,Q(x)=8

Consider the secondary equation for value of integrating factor u(x)

u(x)=e

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Chapter 11 Solutions

Calculus: An Applied Approach (MindTap Course List)
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