a) Find the solution of this initial value problem and describe its behaviour for large t. The solution of this initial value problem is y(t) = For t→→∞ the solution oscillates about an average value of 6 b) Determine the value of t for which the solution first intersects t line y = 6. NOTE: Round your answer to three decimal places.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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1
Consider the initial value problem y' + y = 3+2 cos 2t, y(0) = 0.
a) Find the solution of this initial value problem and describe its
behaviour for large t.
The solution of this initial value problem is
y(t) =
For t→→ ∞ the solution
oscillates about an average value of 6 ▼
b) Determine the value of t for which the solution first intersects the
line y = 6.
NOTE: Round your answer to three decimal places.
t=
=
Transcribed Image Text:1 Consider the initial value problem y' + y = 3+2 cos 2t, y(0) = 0. a) Find the solution of this initial value problem and describe its behaviour for large t. The solution of this initial value problem is y(t) = For t→→ ∞ the solution oscillates about an average value of 6 ▼ b) Determine the value of t for which the solution first intersects the line y = 6. NOTE: Round your answer to three decimal places. t= =
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