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Find the general solution of the differential equation π y" + 4y = 13 sec² (2t), 0 < t < 4 NOTE: Use C₁ and C₂ as arbitrary constants, and enter an exact answer. y(t) =C₁ cos(2 t) + C₂ sin(2 t) - . 13 13 + sin (2 t) In sec(2 t) + tan(2 t)| 4 4

Find the general solution of the differential equation π y" + 4y = 13 sec² (2t), 0 < t < 4 NOTE: Use C₁ and C₂ as arbitrary constants, and enter an exact answer. y(t) =C₁ cos(2 t) + C₂ sin(2 t) - . 13 13 + sin (2 t) In sec(2 t) + tan(2 t)| 4 4

Advanced Engineering Mathematics
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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Find the general solution of the differential equation π y" + 4y = 13 sec²(2t), 0 < t < 1/ 4 NOTE: Use C₁ and C₂ as arbitrary constants, and enter an exact answer. y(t) = C₁ cos(2 t) + C₂ sin(2 t) 13 13 + sin (2 t) In sec(2 t) + tan(2 t)| 4 4 ✓
Transcribed Image Text:Find the general solution of the differential equation π y" + 4y = 13 sec²(2t), 0 < t < 1/ 4 NOTE: Use C₁ and C₂ as arbitrary constants, and enter an exact answer. y(t) = C₁ cos(2 t) + C₂ sin(2 t) 13 13 + sin (2 t) In sec(2 t) + tan(2 t)| 4 4 ✓
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