Solve the

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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2.4.1
Example A
The equation
Yk+1 = (k – k²)Yk
(2.73)
can be written as
Yk+1 = (-)k(k – 1)yk-
(2.74)
Its solution is
= A(-)*T(k)F(k – 1) = A(-)*(k – 1)r°(k – 1),
(2.75)
Yk =
where A is an arbitrary constant.
Transcribed Image Text:2.4.1 Example A The equation Yk+1 = (k – k²)Yk (2.73) can be written as Yk+1 = (-)k(k – 1)yk- (2.74) Its solution is = A(-)*T(k)F(k – 1) = A(-)*(k – 1)r°(k – 1), (2.75) Yk = where A is an arbitrary constant.
2.10. Solve the following equations:
(k² + 1)yk,
(k – k² – k³)yk,
(а) Ук+1 —
(b) Ук+1
-
Yk+1
k+1
Yk
(c)
Transcribed Image Text:2.10. Solve the following equations: (k² + 1)yk, (k – k² – k³)yk, (а) Ук+1 — (b) Ук+1 - Yk+1 k+1 Yk (c)
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