Solve the initial value problem. Find the solution of the given initial value problem. Determine the behavior of the solution as t→∞, y" + 7y' = 0, y(0) = -9, y'(0) = 7 Oy=-8-e-7t, limy(t) = -8 O y = 8 + e-7t, limy(t) = 8 0 y = −8+ e-7, limy(t) = -8 O y = 8 + et, limy(t) = co O y = 8e-¹t, limy(t) = 8

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Solve the initial value problem. Find the solution of the given initial value problem. Determine the behavior of the solution as t → *.
y" + 7y' = 0, y(0) = -9, y(0) = 7
0 y = 8e-¹t, limy(t) = - 8
O y = 8 + et, limy(t) = 8
O y = 8 + e-t, limy(t) =
O y = 8 + et,
limy(t) = ∞
O y = 8-et,
limy(t) = 8
1-→00
- 8
Transcribed Image Text:Solve the initial value problem. Find the solution of the given initial value problem. Determine the behavior of the solution as t → *. y" + 7y' = 0, y(0) = -9, y(0) = 7 0 y = 8e-¹t, limy(t) = - 8 O y = 8 + et, limy(t) = 8 O y = 8 + e-t, limy(t) = O y = 8 + et, limy(t) = ∞ O y = 8-et, limy(t) = 8 1-→00 - 8
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