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11th Edition

Ron Larson + 1 other

Publisher: Cengage Learning

ISBN: 9781337275378

Chapter 16.1, Problem 31E

Textbook Problem

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Finding an Integrating Factor In Exercises 23-32, find the integrating factor that is a function of *x* or *y* alone and use it to find the general solution of the differential equation.

To determine

The integrating factor that is function of *x* or *y* alone and use it to find the general solution of the differential equation

**Given information:**

The given differential equation is

**Concept Used:**

1) Let *M* and *N* have continuous partial derivatives on an open disk *R*. The differential equation

2) If *x* alone, then

3) If *y* alone, then

4) The equation *f* of two variables x and y having continuous partial derivatives such that

The general solution of the equation is

**Calculation:**

First we will compare differential equation

We have

Since

Now, we can calculate

The integrating factor is given as:

If we multiply the given differential equation by

Multivariable Calculus

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