Find the general solution of the differential equation y" + 2y + 5y = 3 sin(2t).
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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![Your answer is correct.
Find the general solution of the differential equation
y" + 2y + 5y = 3 sin(2t).
NOTE: Use c₁ and ce for the constants of integration.
y(t)
=
et (c₁ cos(2 t) + C₂ sin(2 t))
12
17
3
cos(2 t) + sin (2 t)
17](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2ffbc1d8-30c0-4fb7-b8ef-40672e1fb1c7%2Fbc3019f0-c10a-40a7-bdd8-6a609b39fa75%2F2swfa56_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Your answer is correct.
Find the general solution of the differential equation
y" + 2y + 5y = 3 sin(2t).
NOTE: Use c₁ and ce for the constants of integration.
y(t)
=
et (c₁ cos(2 t) + C₂ sin(2 t))
12
17
3
cos(2 t) + sin (2 t)
17
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