Given the formula y(s + h) – 2y(s) + y(s – h) 1 y"(s) + y(")h® + O(h°) h2 use the Taylor series h2 y(s+h) = y(s) + hy'(s) + y"(s) + ...+ hn y(n) (s) + O(h"+1) to determine the integer values of c, p, q and r. (Note that integer values can be positive, negative or zero. Do not forget to include the minus sign for any negative values.) Enter c: Enter p: Enter q: Enter r:

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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Given the formula
y(s + h) – 2y(s) + y(s – h)
+y(")hP + O(h9)
y"(8)
h2
use the Taylor series
h?
h"
y(s +h) = y(s) + hy'(s) +
-y"(s) + ...+
2!
Ty(n)(s) + O(hn+1)
n!
to determine the integer values of c,p, q and r. (Note that integer values can
be positive, negative or zero. Do not forget to include the minus sign for
any negative values.)
Enter c:
Enter p:
Enter q:
Enter r:
Transcribed Image Text:Given the formula y(s + h) – 2y(s) + y(s – h) +y(")hP + O(h9) y"(8) h2 use the Taylor series h? h" y(s +h) = y(s) + hy'(s) + -y"(s) + ...+ 2! Ty(n)(s) + O(hn+1) n! to determine the integer values of c,p, q and r. (Note that integer values can be positive, negative or zero. Do not forget to include the minus sign for any negative values.) Enter c: Enter p: Enter q: Enter r:
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