Consider the initial value problem y + 2 cos 2t, y(0) = 0. ) 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 to the solution Choose one ) Determine the value of t for which the solution first intersects the 16 line y 3 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
Section: Chapter Questions
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3
Consider the initial value problem y' + y = 4+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 to the solution
Choose one
b) Determine the value of t for which the solution first intersects the
16
line y =
3
NOTE: Round your answer to three decimal places.
Transcribed Image Text:3 Consider the initial value problem y' + y = 4+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 to the solution Choose one b) Determine the value of t for which the solution first intersects the 16 line y = 3 NOTE: Round your answer to three decimal places.
3
Consider the initial value problem y' + y = 4+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
Choose one
Choose one
ion first intersects the
oscillates about an average value of
16
tends to the constant value
3
is unbounded.
b)
Transcribed Image Text:3 Consider the initial value problem y' + y = 4+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 Choose one Choose one ion first intersects the oscillates about an average value of 16 tends to the constant value 3 is unbounded. b)
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