3. Find the general solution for the following differential equations: (a) y(6) – 12y(5) + 63y(4) – 184y" +315y" – 300/ + 125y = 0. (Hint: P(A) = (X² – 4X + 5)*) (b) y" – 5y – 2y = 0. (Hint: A= -2 is a root of P(A)) (c) y(7) + 18y(5) + 81y" = 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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3. Find the general solution for the following differential equations:
(a) y(6) – 12y(5) + 63y(4) – 184y" +315y" – 300y + 125y = 0. (Hint: P(X) = (X² – 4X + 5)*)
(b) y" – 5y – 2y = 0. (Hint: A= –2 is a root of P())
(c) y(7) + 18y(5) + 81y" = 0
Transcribed Image Text:3. Find the general solution for the following differential equations: (a) y(6) – 12y(5) + 63y(4) – 184y" +315y" – 300y + 125y = 0. (Hint: P(X) = (X² – 4X + 5)*) (b) y" – 5y – 2y = 0. (Hint: A= –2 is a root of P()) (c) y(7) + 18y(5) + 81y" = 0
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