Find the solution of the given initial value problem. 3y""+27y810y = 0; y(0) = 9, y'(0) = 63, y"(0) = −315. y(t) = How does the solution behave as t→ ∞? Choose one Decreasing without bounds Increasing without bounds Exponential decay to a constant Oscillating with an increasing amplitude

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Find the solution of the given initial value problem.
3y""+27y810y = 0;
y(0) = 9, y'(0) = 63, y"(0) = −315.
y(t)
=
How does the solution behave as t→ ∞?
Choose one
Decreasing without bounds
Increasing without bounds
Exponential decay to a constant
Oscillating with an increasing amplitude
Transcribed Image Text:Find the solution of the given initial value problem. 3y""+27y810y = 0; y(0) = 9, y'(0) = 63, y"(0) = −315. y(t) = How does the solution behave as t→ ∞? Choose one Decreasing without bounds Increasing without bounds Exponential decay to a constant Oscillating with an increasing amplitude
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