5. y" - 2y + y = 14x³/2ex

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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In Exercises 1–6, use the variation of parameters to find a particular solution.

1. \( y'' + 9y = \tan 3x \)

2. \( y'' + 4y = \sin 2x \sec^2 2x \)

3. \( y'' - 3y' + 2y = \frac{4}{1 + e^{-x}} \)

4. \( y'' - 2y' + 2y = 3e^x \sec x \)

5. \( y'' - 2y' + y = 14x^{3/2} e^x \)

6. \( y'' - y = \frac{4e^{-x}}{1 - e^{-2x}} \)
Transcribed Image Text:In Exercises 1–6, use the variation of parameters to find a particular solution. 1. \( y'' + 9y = \tan 3x \) 2. \( y'' + 4y = \sin 2x \sec^2 2x \) 3. \( y'' - 3y' + 2y = \frac{4}{1 + e^{-x}} \) 4. \( y'' - 2y' + 2y = 3e^x \sec x \) 5. \( y'' - 2y' + y = 14x^{3/2} e^x \) 6. \( y'' - y = \frac{4e^{-x}}{1 - e^{-2x}} \)
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