5. y" + 16y= 2 sin 4t

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 69E
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Finding Particular Solutions. Find a particular solution for each equation
in Exercise Group 4.2.7.1-8.
1. y" - 2y' - 3y = 3e²t
d²x
dx²
3.
5.
7.
6
dx
dt
+ 25x
64e-t
y" + 16y 2 sin 4t
y" + 6y' +8y= cos 3t
2.
4.
y" - y' 2y = 4x²
y" + 16y=2 sin 2t
6.
y" + 2y' + y = 2e-t
8. u" +wy = cos wt, w² #wo
Transcribed Image Text:Finding Particular Solutions. Find a particular solution for each equation in Exercise Group 4.2.7.1-8. 1. y" - 2y' - 3y = 3e²t d²x dx² 3. 5. 7. 6 dx dt + 25x 64e-t y" + 16y 2 sin 4t y" + 6y' +8y= cos 3t 2. 4. y" - y' 2y = 4x² y" + 16y=2 sin 2t 6. y" + 2y' + y = 2e-t 8. u" +wy = cos wt, w² #wo
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