Chapter 17.2, Problem 12E

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

Graph the particular solution and several other solutions. What characteristics do these solutions have in common?

**11.** *y" +* 3*y'* + 2*y* = cos *x* **12.** *y"* + 4*y* = *e ^{-x}*

To determine

**To plot:** The graph of the particular solution and several other solutions and found what characteristics of these solutions are common.

Explanation

**Given data:**

The differential equation is,

Consider the auxiliary equation is,

Roots of equation (2) are,

Write the expression for the complementary solution for the complex roots,

Substitute 0 for

If Right hand side (RHS) of a differential equation contains only exponential function.

Therefore, the trail solution

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