1. y' = 3 – 2y

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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From number 5 on section 1.1 how to draw a direction field for the given differential equations determine the behavior of y as t to infinity if this behavior depends on the initial value of y at t = 0 describe the dependency. 

EMS
In each of Problems 1 through 6 draw a direction field for the given differential equation.
Based on the direction field, determine the behavior of y as t → ∞. If this behavior depends
on the initial value of y at t = 0, describe the dependency.
1. y' = 3 – 2y
2 3. y = 3+ 2y
5. y' = 1+ 2y
o leor
2. y' = 2y – 3
2 4. y' = -1– 2y
|
ahoold odin 0e
6. y' = y +2
Transcribed Image Text:EMS In each of Problems 1 through 6 draw a direction field for the given differential equation. Based on the direction field, determine the behavior of y as t → ∞. If this behavior depends on the initial value of y at t = 0, describe the dependency. 1. y' = 3 – 2y 2 3. y = 3+ 2y 5. y' = 1+ 2y o leor 2. y' = 2y – 3 2 4. y' = -1– 2y | ahoold odin 0e 6. y' = y +2
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