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X=4(mod nod 13) X2-7(mod 15)

X=4(mod nod 13) X2-7(mod 15)

Advanced Engineering Mathematics
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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Find all solutions using the Chinese Reminder Theorem.
The image contains a system of congruences written in modulo notation: 1. \( x \equiv 9 \pmod{11} \) 2. \( x \equiv 2 \pmod{13} \) 3. \( x \equiv -7 \pmod{15} \) These expressions represent a set of congruences where \( x \) is the unknown integer that satisfies all the conditions simultaneously. This is a typical problem that can be solved using methods such as the Chinese Remainder Theorem.
Transcribed Image Text:The image contains a system of congruences written in modulo notation: 1. \( x \equiv 9 \pmod{11} \) 2. \( x \equiv 2 \pmod{13} \) 3. \( x \equiv -7 \pmod{15} \) These expressions represent a set of congruences where \( x \) is the unknown integer that satisfies all the conditions simultaneously. This is a typical problem that can be solved using methods such as the Chinese Remainder Theorem.
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