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
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff562fc48-424b-4397-b0c3-fec4819da9c2%2F9ec323cf-e2a9-4fc8-8867-f8f06c643c84%2Ffuhzfg_processed.jpeg&w=3840&q=75)
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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