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2. Find the general and definite solution for the following higher order differential equations and in each case comment on the dynamic stability of the time path. Also, explain whether the time path will have dampened, explosive or uniform fluctuations? 5 [y(0) = -,y'(0) = 31] a. y"(t) +9y' (t) + 14y(t) = 7 b. y"(t)- 6y' (t) + 25y(t) = 150 [y(0) 13,y'(0) = 25 =

2. Find the general and definite solution for the following higher order differential equations and in each case comment on the dynamic stability of the time path. Also, explain whether the time path will have dampened, explosive or uniform fluctuations? 5 [y(0) = -,y'(0) = 31] a. y"(t) +9y' (t) + 14y(t) = 7 b. y"(t)- 6y' (t) + 25y(t) = 150 [y(0) 13,y'(0) = 25 =

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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2. Find the general and definite solution for the following higher order differential equations and in each case comment on the dynamic stability of the time path. Also, explain whether the time path will have dampened, explosive or uniform fluctuations? 5 a. y"(t) + 9y'(t) + 14y(t) = 7 [y(0) = -,y'(0) = 31] b. y"(t) – 6y'(t) + 25y(t) = 150 [y(0) = 13,y'(0) = 25 %3D
Transcribed Image Text:2. Find the general and definite solution for the following higher order differential equations and in each case comment on the dynamic stability of the time path. Also, explain whether the time path will have dampened, explosive or uniform fluctuations? 5 a. y"(t) + 9y'(t) + 14y(t) = 7 [y(0) = -,y'(0) = 31] b. y"(t) – 6y'(t) + 25y(t) = 150 [y(0) = 13,y'(0) = 25 %3D
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