Find the solution of the given initial value problem. y(4) 4y" + 4y" = 0; y(1) = 11+ e², y'(1) = 9+2e², y'(1) = 4e², y"" (1) = 8e². y(t) = 2 +9t+e²t How does the solution behave as too? Increasing without bounds

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.
y(4) 4y"" + 4y" = 0;
y(1) = 11+e², y′(1) = 9+2e², y″(1) = 4e², y'"(1) = 8e².
y(t) = 2 +9t+e²t
How does the solution behave as t→ ∞o?
Increasing without bounds
Transcribed Image Text:Find the solution of the given initial value problem. y(4) 4y"" + 4y" = 0; y(1) = 11+e², y′(1) = 9+2e², y″(1) = 4e², y'"(1) = 8e². y(t) = 2 +9t+e²t How does the solution behave as t→ ∞o? Increasing without bounds
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