Problem 5 Draw a direction field for the given differential equation. Based on the direction field, determined the behavior of y as t→ o, If this behavior depends on the initial value of y at t = 0, describe the dependency. y' = 3+ 2y

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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1:10
..l 5G 4
HW1 for Ch1.1, Differential Equations
Problem 5
Draw a direction field for the given differential equation. Based on the direction field,
determined the behavior of y as t- 0o. If this behavior depends on the initial value of y at
t = 0, describe the dependency.
y' = 3+ 2y
Problem 21
Draw a direction field for the given differential equation. Based on the direction field,
determine the bchavior of y as t → 0o. If this behavior depends on the initial value of y at
t = 0, describe the dependency. Note that the right-hand sides of these equations depend on t
as well as y; therefore, their solutions can exhibit more complicated behavior than the above
problem.
y' = -3 +t-y
1/1
1.
Transcribed Image Text:1:10 ..l 5G 4 HW1 for Ch1.1, Differential Equations Problem 5 Draw a direction field for the given differential equation. Based on the direction field, determined the behavior of y as t- 0o. If this behavior depends on the initial value of y at t = 0, describe the dependency. y' = 3+ 2y Problem 21 Draw a direction field for the given differential equation. Based on the direction field, determine the bchavior of y as t → 0o. If this behavior depends on the initial value of y at t = 0, describe the dependency. Note that the right-hand sides of these equations depend on t as well as y; therefore, their solutions can exhibit more complicated behavior than the above problem. y' = -3 +t-y 1/1 1.
1:10
..l 5G 4
HW2 for Ch2.1, Differential Equations
Problem 10 & 12
Find the solution of the given initial value problems.
y' + 3y = te-3,
y(1) = 0
ty' + 2y = 2 sint,
y) = 1,
t>0
1/1
1.
Transcribed Image Text:1:10 ..l 5G 4 HW2 for Ch2.1, Differential Equations Problem 10 & 12 Find the solution of the given initial value problems. y' + 3y = te-3, y(1) = 0 ty' + 2y = 2 sint, y) = 1, t>0 1/1 1.
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