Consider the initial value problem Suppose we know that y(t) → 0 as t→∞. Determine the solution and the initial conditions. y(t) = cos(5t)+sin(5t)+1/26e^(-t) y(0) = y'(0) = -1/26 1/26 y" + 25y = e¯t, y(0) = yo, y'(0) = 40. help (numbers) help (numbers) help (formulas)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the initial value problem
Suppose we know that y(t) → 0 as t→ ∞. Determine the solution and the initial conditions.
y(t) = cos(5t)+sin(5t)+1/26e^(-t) help (formulas)
y(0)
y'(0) =
=
1/26
-1/26
y" + 25y = e-t, y(0) = yo, y'(0) = y.
help (numbers)
help (numbers)
Transcribed Image Text:Consider the initial value problem Suppose we know that y(t) → 0 as t→ ∞. Determine the solution and the initial conditions. y(t) = cos(5t)+sin(5t)+1/26e^(-t) help (formulas) y(0) y'(0) = = 1/26 -1/26 y" + 25y = e-t, y(0) = yo, y'(0) = y. help (numbers) help (numbers)
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