. Solve the recurrence relation xn = 6xn-1-9xn-2 with tial condition Xo = 1, x₁ = 4 Write the close form solution for the given recurrence relation r ..+2" with

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Q1. Solve the recurrence relation x, = 6xn-1-9 xn-2 with
initial condition xo 1,x1 = 4
Q2. Write the close form solution for the given recurrence relation x = xn-i+ 2" with
Xo = 1
Q3. Draw Cobweb diagram for the given difference equations, test stability
(1) x =Xn-1 = 2 , x, = 0.3
(2) xn = 3.88xn-1 (1 Xn-1) , x1 = 0.17
Q4. Find the fixed points for the following recurrence relation and test for stability.
Xn = X-1 + Xn-1- ,n21
Q5. Construct a recurrence relation that has stable fixed point at x =1 and unstable fixed
point at x = 6
Transcribed Image Text:Q1. Solve the recurrence relation x, = 6xn-1-9 xn-2 with initial condition xo 1,x1 = 4 Q2. Write the close form solution for the given recurrence relation x = xn-i+ 2" with Xo = 1 Q3. Draw Cobweb diagram for the given difference equations, test stability (1) x =Xn-1 = 2 , x, = 0.3 (2) xn = 3.88xn-1 (1 Xn-1) , x1 = 0.17 Q4. Find the fixed points for the following recurrence relation and test for stability. Xn = X-1 + Xn-1- ,n21 Q5. Construct a recurrence relation that has stable fixed point at x =1 and unstable fixed point at x = 6
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