- recurrence relation is given as: a, = 04 an-1 - 4 an-2 - initial conditions are given as: ao =1, a1 =4 and a2 = 12, .. en you solve the characteristic equation, the root/roots of the characteristic equation can be found as: Seç. Seç. e a calculator and calculate ag -2 and 1 -0.5 and 2 2 and -2 en you solve the general equation, the constants alpha 1 and alpha 2 are respectively calculated as: -2 12464 11264 1 and 1
- recurrence relation is given as: a, = 04 an-1 - 4 an-2 - initial conditions are given as: ao =1, a1 =4 and a2 = 12, .. en you solve the characteristic equation, the root/roots of the characteristic equation can be found as: Seç. Seç. e a calculator and calculate ag -2 and 1 -0.5 and 2 2 and -2 en you solve the general equation, the constants alpha 1 and alpha 2 are respectively calculated as: -2 12464 11264 1 and 1
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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Transcribed Image Text:The recurrence relation is given as: a, = 04 an-1 - 4 an-2
The initial conditions are given as: ao =1, a1 =4 and a2 = 12, .
When you solve the characteristic equation, the root/roots of the characteristic equation can be found as:
Seç.
Seç.
Use a calculator and calculate ag
2
-2 and 1
-0.5 and 2
2 and -2
When you solve the general equation, the constants alpha 1 and alpha 2 are respectively calculated as:
-2
12464
11264
1 and 1
16368
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