Find the general solution of the differential equation ㅠ y" + 16y= 13 sec² (4t), 0

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 33CR
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Find the general solution of the differential equation
y" + 16y = 13 sec² (4t), 0 < t < TI
NOTE: Use C₁ and C₂ as arbitrary constants, and enter an exact answer.
y(t) = C₁ cos(4 t) + C₂ sin(4 t).
13
13
16 16
sin(4 t) In sec(4 t) + tan(4 t)|
Transcribed Image Text:Find the general solution of the differential equation y" + 16y = 13 sec² (4t), 0 < t < TI NOTE: Use C₁ and C₂ as arbitrary constants, and enter an exact answer. y(t) = C₁ cos(4 t) + C₂ sin(4 t). 13 13 16 16 sin(4 t) In sec(4 t) + tan(4 t)|
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ISBN:
9780321964038
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GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
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Pearson Addison Wesley,