In Exercises 9-12, find the solution of the given initial-value problem. d²y dy +6 di² y (0) = y(0) = 0 d2 +4 +13y=-3e-2¹, y(0)=y'(0)=0 11. 10. 12. d²y dy d1² y (0) = 2, y'(0) = 1 +7+12y=3e", day +7- +10y=e-2¹, dr² dt y(0)=y'(0)=0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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HELP ASAP 9 AND 10 PLEASE!!!

In Exercises 9-12, find the solution of the given initial-value problem.
d²y
dy
+6
dt2
dt
y (0) = y'(0) = 0
9.
11.
+8y=e=¹₁
d²y
dy
+4 +13y = -3e-2t,
dt² dt
y (0) = y'(0) = 0
10.
12.
d²y
dt2
dy
+7+12y = 3e-¹,
dt
y (0) = 2, y'(0) =
d²y
dy
+7
+10y = e-2¹,
dt² dt
y (0) = y'(0) = 0
= 1
Transcribed Image Text:In Exercises 9-12, find the solution of the given initial-value problem. d²y dy +6 dt2 dt y (0) = y'(0) = 0 9. 11. +8y=e=¹₁ d²y dy +4 +13y = -3e-2t, dt² dt y (0) = y'(0) = 0 10. 12. d²y dt2 dy +7+12y = 3e-¹, dt y (0) = 2, y'(0) = d²y dy +7 +10y = e-2¹, dt² dt y (0) = y'(0) = 0 = 1
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