Find the solution of the given initial value problem. 7y""+154y' - 2436y = 0; y(0) = 10, y'(0) = 69, y"(0) = -474.

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.
7y"" + 154y' - 2436y = 0;
y(0) = 10, y'(0) = 69, y"(0) = -474.
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. 7y"" + 154y' - 2436y = 0; y(0) = 10, y'(0) = 69, y"(0) = -474. 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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