Find the general solution of the differential equation ㅠ y" + 16y= 13 sec² (4t), 0
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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can you help me to provide a short solution here? need help please.
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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