a, = -2a,-1 + 24a,-2 for n > 2 with initial conditions ao = 3, a = 4. The solution is of the form: an = a1(r1)" + a2(r2)" for suitable constants a1, a2, r1,r2 with ri
a, = -2a,-1 + 24a,-2 for n > 2 with initial conditions ao = 3, a = 4. The solution is of the form: an = a1(r1)" + a2(r2)" for suitable constants a1, a2, r1,r2 with ri
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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Question
Find the solution to the following lhcc recurrence:
Transcribed Image Text:An =
-2a,-1 +24a,–2 for n > 2 with initial conditions ao
3, aj = 4. The solution is of the form:
п-2
a, = a¡(r1)" + a2(r2)"
for suitable constants a1, a2, r1, r2 with rı <r2. Find these constants.
ri =
r2
=
= Ip
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