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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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Transcribed Image Text:Exercise 5.5.18.
(a) Find the general integer solution to: 242m + 119n = 53.
(b) Use your solution to solve the modular equation: 242x = 53 (mod 119).
(c) Use your solution to solve the modular equation: 119y = 53 (mod 242).
This example shows that Diophantine equations are just modular equa-
tions in a disguised form! Furthermore, each Diophantine equation is asso-
ciated with two modular equations:
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