d²y dy dt2 y (0) = y'(0) = 0 12. +6+8y=2 cos 3t dt

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Help please ! Help with #12
In Exercises 11-14, find the solution of the given initial-value problem.
d²y
dy
dt2
dt
y (0) = y'(0)
11.
13.
+6-
+ 8y = cost
0
d²y
dt2
y (0) = y'(0) = 0
dy
+4 + 20y = -3 sin 2t
dt
12.
14.
d²y dy
+6 +8y=2 cos 3t
d1² dt
y (0) = y'(0) = 0
d²y
dy
+2-
dt² dt
y (0) = y'(0) = 0
+ y = 2 cos 2t
Transcribed Image Text:In Exercises 11-14, find the solution of the given initial-value problem. d²y dy dt2 dt y (0) = y'(0) 11. 13. +6- + 8y = cost 0 d²y dt2 y (0) = y'(0) = 0 dy +4 + 20y = -3 sin 2t dt 12. 14. d²y dy +6 +8y=2 cos 3t d1² dt y (0) = y'(0) = 0 d²y dy +2- dt² dt y (0) = y'(0) = 0 + y = 2 cos 2t
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