4.3.5 Exercises Finding Particular Solutions. Find a pa in Exercise Group 4.3.5.1-10 using complexi 1. " + 4y = 3 cos 2t 2, dr dt + 6+ 7u3sin 2t 9. 8. 5 7. y Foy + 8y cos 3t 27-2008 2t 21 da² u" +4u' + 20u = -3 sin 3t 4 6 8 +

Calculus: Early Transcendentals
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Chapter1: Functions And Models
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4.3.5 Exercises
Finding Particular Solutions. Find a particular solution for each equation
in Exercise Group 4.3.5.1-10 using complexification.
1. " + 4y = 3 cos 2t
2.
dz
TZ
dr2 dt
56+7u
7. y Foy+by
3.
21
9.
- 2 cos 2t
3 sin 2t
cos 3t
y" + 7y² + 10µ--4sin 3t
Hint Acoume the complex
solution h has formu. Ae3it
4. " 25 SCOST
6
8.
10.
"A 13y 9cos 26
+2 +32 2 sin 2t
da2 dt
will
Avl 20ucos 5t
u" +4u' + 20u = -3 sin 3t
Find a par-
Finding Frequencies, Amplitudes, and Phase Angles.
ticular solution of the form Up = A cos(wto) for each equation in Exercise
Transcribed Image Text:4.3.5 Exercises Finding Particular Solutions. Find a particular solution for each equation in Exercise Group 4.3.5.1-10 using complexification. 1. " + 4y = 3 cos 2t 2. dz TZ dr2 dt 56+7u 7. y Foy+by 3. 21 9. - 2 cos 2t 3 sin 2t cos 3t y" + 7y² + 10µ--4sin 3t Hint Acoume the complex solution h has formu. Ae3it 4. " 25 SCOST 6 8. 10. "A 13y 9cos 26 +2 +32 2 sin 2t da2 dt will Avl 20ucos 5t u" +4u' + 20u = -3 sin 3t Find a par- Finding Frequencies, Amplitudes, and Phase Angles. ticular solution of the form Up = A cos(wto) for each equation in Exercise
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