2 12 y" + 3ty' - 15y = 8 e6 (1) Find the characteristic equation, (2) Solve the characteristic equation, and (3) Write the general solution of the characteristic equation. A yc = C, 12.5 = C,125 BYc = C, 18 + C,t-4.031 © c = C, + c,1-1.5 D 'c = C,13 + C,1-3.5 E y, = Yc = C, 12.089 + C,1-3.589 F) Yc = C,1.76 + C,1-4.26
2 12 y" + 3ty' - 15y = 8 e6 (1) Find the characteristic equation, (2) Solve the characteristic equation, and (3) Write the general solution of the characteristic equation. A yc = C, 12.5 = C,125 BYc = C, 18 + C,t-4.031 © c = C, + c,1-1.5 D 'c = C,13 + C,1-3.5 E y, = Yc = C, 12.089 + C,1-3.589 F) Yc = C,1.76 + C,1-4.26
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
q6

Transcribed Image Text:2 12 y" + 3ty' - 15y = 8 e6t
(1) Find the characteristic equation, (2) Solve the characteristic equation, and (3) Write the general solution of the characteristic
equation.
A yc =
Yc = C,125 + C,1-3
B Yc = C, 18 + C,t-4.031
2.
© c = C, + c,r-1.5
D
'c = C,13 + C,1-3.5
E y, =
'c = C,12.089 + ,1-3.589
F)
Yc = C,t1.76 + C,1-4.26
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