26. Solve the recurrence relation. Given: a. = 3 = 6 • a = 6a n-1 + 7a n-2 Show your work in the space provided. a. Find c, and c, a_ = (6)a+ (7)a-2 %3D 'n-1 C2 = b. Substitute c, and c, into the following equation: * - c,r - c, = 0 | Show your work here: c. Identify a, b, and c in the quadratic equation. a = c=

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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d. Use the quadratic formula to find the two roots. Here is the quadratic formula:
-b± v – 4ac
2a
Show your work here:
-b± v – 4ac
2a
e. Substitute two roots, r, and r, into the equation a = a,
2'
Show your work here:
f. Now substitute to find two equations, a, and a,. Remember to use the equation
you found from step e.
Transcribed Image Text:d. Use the quadratic formula to find the two roots. Here is the quadratic formula: -b± v – 4ac 2a Show your work here: -b± v – 4ac 2a e. Substitute two roots, r, and r, into the equation a = a, 2' Show your work here: f. Now substitute to find two equations, a, and a,. Remember to use the equation you found from step e.
26. Solve the recurrence relation. Given:
= 3
• a, = 6
• a = 6a
+
n-1
+ 7a
n-2
Show your work in the space provided.
a. Find c, and c,
a = (6)a- + (7)a-2
n-1
b. Substitute c, and c, into the following equation:
* - cr - e, = 0
Show your work here:
c. Identify a, b, and c in the quadratic equation.
a =
c=
Transcribed Image Text:26. Solve the recurrence relation. Given: = 3 • a, = 6 • a = 6a + n-1 + 7a n-2 Show your work in the space provided. a. Find c, and c, a = (6)a- + (7)a-2 n-1 b. Substitute c, and c, into the following equation: * - cr - e, = 0 Show your work here: c. Identify a, b, and c in the quadratic equation. a = c=
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