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Get Full Access to Fundamentals Of Differential Equations - 8 Edition - Chapter 2.3 - Problem 2e
Get Full Access to Fundamentals Of Differential Equations - 8 Edition - Chapter 2.3 - Problem 2e

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# Solved: In 1–6, determine whether the given equation is

ISBN: 9780321747730 43

## Solution for problem 2E Chapter 2.3

Fundamentals of Differential Equations | 8th Edition

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Problem 2E

Problem 2E

In Problems 1–6, determine whether the given equation is separable, linear, neither, or both.

Step-by-Step Solution:
Step 1 of 3

Solution:-

Step1

Given that

We have to determine whether the given equation is separable, linear, neither, nor      both.

Step2

We have

The equation

Can be written as function h(x) that depends only on x times a function q(y) that depends only on y, then the equation is known as separable.

Step3

Rewrite the given equation:-

This equation , we can not write in the form of

So, by using definition of separable , this equation is not separable equation.

Step4

Linear differential equation:-

Where r(x) and s(x) are continuous functions in x.

The equation is  in the form of

Where

So,  is  a linear equation.

Step 2 of 3

Step 3 of 3

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Solved: In 1–6, determine whether the given equation is