Find the solution of the given initial value problem. y(4) - 8y" + 16y" = 0; y(1) = 10 + e¹, y'(1) = 8 + 4e¹, y"(1) = 16e¹, y"(1) = 64e¹. y(t) = How does the solution behave as t→∞0? Choose one 4

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find the solution of the given initial value problem.
y(4) - 8y" + 16y" = 0;
y(1) = 10 + e, y'(1) = 8 + 4e², y" (1) = 16e4, y"(1) = 64e¹.
لعليم
H
Choose one
Decreasing without bounds
Inceasing without bounds
Exponential decay to a constant
Oscillating with a decreasing amplitude
Oscillating with an increasing amplitude
Transcribed Image Text:Find the solution of the given initial value problem. y(4) - 8y" + 16y" = 0; y(1) = 10 + e, y'(1) = 8 + 4e², y" (1) = 16e4, y"(1) = 64e¹. لعليم H Choose one Decreasing without bounds Inceasing without bounds Exponential decay to a constant Oscillating with a decreasing amplitude Oscillating with an increasing amplitude
Find the solution of the given initial value problem.
y(4) - 8y" + 16y" = 0;
y(1) = 10 + e, y'(1) = 8 + 4e¹, y'"(1) = 16e¹, y""(1) = 64e¹.
y(t) =
How does the solution behave as t→ ∞0?
Choose one
27
Transcribed Image Text:Find the solution of the given initial value problem. y(4) - 8y" + 16y" = 0; y(1) = 10 + e, y'(1) = 8 + 4e¹, y'"(1) = 16e¹, y""(1) = 64e¹. y(t) = How does the solution behave as t→ ∞0? Choose one 27
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