4)-6 y + 13 y"-24 y +36 y=2e³x+cos(4x) + 5 that r₁2i is a root of the characteristic equation. =
4)-6 y + 13 y"-24 y +36 y=2e³x+cos(4x) + 5 that r₁2i is a root of the characteristic equation. =
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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Question
Transcribed Image Text:Give the form of a particular solution of
4)-6y +13 y"-24 y +36y=2e³x + cos(4x) + 5
given that r₁ = 2i is a root of the characteristic equation.
2-4 e³+ Bx cos(2x) + Cx sin(2x) + D
= 4x e¹¹ + B cos(4x) + C sin(4x) +D
4x² + B cos(4x) + C sin(4x) + D
-4e¹+B cos(4x) + C sin(4x) + D
= 4x² ¹ + Bx cos(2x) + Cx sin(2x) + D
a)
b)
c)
d)
e)
1) O None of the above.
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