In Exercises 1-8 find the fixed point and determine both its stability and whether or not oscillation occurs. 1. Xn+1 = 2.x, – 3/4 5. Xn+1 = -1.75xm 6. Xn+1 = 0.9(1 – xn) 7. Xn+1 = 4(x, – 1)/5 2. Xn+= 0.7.xm 3. Xn+1 = }Xn + 4

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Problems 7 And 1

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-4 stable, no oscil for problem 7

3/4 unstable, no oscil for problem 1

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In Exercises 1-8 find the fixed point and determine both its stability and whether or not
oscillation occurs.
= -1.75x,
0.9(1- Xn)
:4(x – 1)/5
1. xp+1 = 2x, – 3/4
5. Xn+1 =
2. Xp+1 =
0.7xm
6. Xn+1
3. Xn+1 = }xn + 4
7. Xn+1
Transcribed Image Text:In Exercises 1-8 find the fixed point and determine both its stability and whether or not oscillation occurs. = -1.75x, 0.9(1- Xn) :4(x – 1)/5 1. xp+1 = 2x, – 3/4 5. Xn+1 = 2. Xp+1 = 0.7xm 6. Xn+1 3. Xn+1 = }xn + 4 7. Xn+1
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