Find the particular solution to the following equation y" + 4y' + 5y = 0 y(0) = 1; y'(0) = -3 Hint: 1. Note that ea+b = eªeb. 2. Use the Euler's formula: e±ix = cOs x ± i sin x

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter7: Analytic Trigonometry
Section7.4: Basic Trigonometric Equations
Problem 3E
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important to show the use of euler's formula thanks

. Find the particular solution to the following equation
y" + 4y' + 5y = 0
y(0) = 1;
У (0)
y'(0) = -3
Hint:
1.
Note that ea+b = eªeb.
2. Use the Euler's formula:
etix
= cOs x ± i sin x
Transcribed Image Text:. Find the particular solution to the following equation y" + 4y' + 5y = 0 y(0) = 1; У (0) y'(0) = -3 Hint: 1. Note that ea+b = eªeb. 2. Use the Euler's formula: etix = cOs x ± i sin x
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