3. Solve the recurrence relation. Given: • a - 3 a = 6 a = 6a+ 7a_2 Show your work in the space provided. a Find c, and c, (6)a_, + (7)ª,-2 b. Substitute c, and c, into the following equation: - cr -, = 0 Show your work here:

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
3. Solve the recurrence relation. Given:
= 3
• a. = 6
a = 6a
n-1
+ 74-2
Show
your work in the space provided.
!e, and c,
а. Find
a, = (6)a
+ (7)a-2
n-1
b. Substitute c, and c, into the following equation:
7 - cr - e, = 0
Show your work here:
Transcribed Image Text:3. Solve the recurrence relation. Given: = 3 • a. = 6 a = 6a n-1 + 74-2 Show your work in the space provided. !e, and c, а. Find a, = (6)a + (7)a-2 n-1 b. Substitute c, and c, into the following equation: 7 - cr - e, = 0 Show your work here:
c. Identify a, b, and c in the quadratic equation.
a =
b =
c=
d. Use the quadratic formula to find the two roots. Here is the quadratic formula:
-b+ vb? – 4ac
2a
Show your work here:
-6+ v – 4ac
2a
e. Substitute two roots, r, and r, into the equation a = a
2'
Show your work here:
Transcribed Image Text:c. Identify a, b, and c in the quadratic equation. a = b = c= d. Use the quadratic formula to find the two roots. Here is the quadratic formula: -b+ vb? – 4ac 2a Show your work here: -6+ v – 4ac 2a e. Substitute two roots, r, and r, into the equation a = a 2' Show your work here:
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