Solve the initial value problem. Find the solution of the given initial value problem. Determine the behavior of the solution as t→∞. y" + 3y = 0, y (0) = -20, y' (0) = 3 O y = 19+ e³, limy (t) = ∞ 118 O y = 19 + e-31. limy (t) 19 118 O y = 19e-3t, limy(t) = 19 Oy=19-e-31. O y = 19 + et, limy(t) = 19 limy (1) 19

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 15CR
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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→∞⁰.
y" + 3y = 0, y (0) = - 20, y' (0) = 3
O y = 19 + e³t, limy (t) = ∞
1→00
O y = 19 + e-31, limy (t) = - 19
1-00
O y = 19e-31
limy (t) = 19
1-00
Oy=19- e-31. limy(t) = 19
Oy 19 + e-3t
limy (t) = 19
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→∞⁰. y" + 3y = 0, y (0) = - 20, y' (0) = 3 O y = 19 + e³t, limy (t) = ∞ 1→00 O y = 19 + e-31, limy (t) = - 19 1-00 O y = 19e-31 limy (t) = 19 1-00 Oy=19- e-31. limy(t) = 19 Oy 19 + e-3t limy (t) = 19
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,