Chapter 4.1, Problem 2E

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7th Edition

Stefan Waner + 1 other

ISBN: 9781337274203

Textbook Problem

In Exercises 1-6, find three different particular solutions of the given equation and also its general solution in two forms (if possible): parameterized by x and parameterized by y.

**[HINT:** See Example 1 and Quick Examples 2-4**]**

To determine

**To calculate:** The general solution in two forms: parameterized by

and also three different particular solutions of the equation

Explanation

**Given Information:**

The provided equation is

**Formula used:**

For any real numbers *a*, *b*, and *c*, the general solution of a linear equation of the form

For any real numbers *a*, *b*, and *c*, the particular solution of a linear equation of the form

**Calculation:**

Consider the provided equation,

To find the general solution of the equation when parameterized by

Substitute this expression of

To find the general solution of the equation when parameterized by

Substitute this expression of

Recall that the particular solution of a linear equation is obtained by selecting specific values for

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