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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" + 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

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

Advanced Engineering Mathematics
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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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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