5. 7. d²y dt2 + dy dt d²y dy dt2 dt +4 + 8y = cost + 13y = 3 cos 2t d²y dy 9. +4 +20y=-3 sin 2t dt² dt 6. dt2 d²y dy +4 + 20y = -cos 5t dt² dt d²y dy +2 + y = cos 3t d1² dt 8. dy +6 +8y=-4 cos 3t dt 10.

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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Help asap! Help with #5,#8,#9 please !
In Exercises 1-10, find the general solution of the given equation.
d²y dy
+3
d²y dy
dt²
dt
+3 + 2y = 5 cost
dt² dt
d²y
dy
+3
d12 dt
1.
3.
5.
7.
d²y
dt2
dy
dt
d²y
dt2
+3
d²y
dy
+6
dt2 dt
+4
dt
+ 2y = cost
+ 2y = sint
+ 8y = cost
+ 13y = 3 cos 2t
dy
9.
d²y
+4 + 20y = -3 sin 2t
d12 dt
2.
4.
6.
8.
10.
dy
+6
dt² dt
dt2
+ 2y = 2 sint
+8y=-4 cos 3t
dy
+4 + 20y = -cos 5t
dt
dy
+2 + y = cos 3t
dt² dt
Transcribed Image Text:In Exercises 1-10, find the general solution of the given equation. d²y dy +3 d²y dy dt² dt +3 + 2y = 5 cost dt² dt d²y dy +3 d12 dt 1. 3. 5. 7. d²y dt2 dy dt d²y dt2 +3 d²y dy +6 dt2 dt +4 dt + 2y = cost + 2y = sint + 8y = cost + 13y = 3 cos 2t dy 9. d²y +4 + 20y = -3 sin 2t d12 dt 2. 4. 6. 8. 10. dy +6 dt² dt dt2 + 2y = 2 sint +8y=-4 cos 3t dy +4 + 20y = -cos 5t dt dy +2 + y = cos 3t dt² dt
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