hinese Remainder Theorem Solve for the smallest value of x in the following linear congruences. Show your solutions. 1. x ≡ 3 mod 6 and x ≡ 4 mod 7 2. x ≡ 3 mod 5 and x ≡ 2 mod 3 3. x ≡ 7 mod 9 and x ≡ 1 mod 5 4. x ≡ 10 mod 17 and x ≡ 1 mod

hinese Remainder Theorem Solve for the smallest value of x in the following linear congruences. Show your solutions. 1. x ≡ 3 mod 6 and x ≡ 4 mod 7 2. x ≡ 3 mod 5 and x ≡ 2 mod 3 3. x ≡ 7 mod 9 and x ≡ 1 mod 5 4. x ≡ 10 mod 17 and x ≡ 1 mod

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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Question

Chinese Remainder Theorem

Solve for the smallest value of x in the following linear congruences. Show your solutions.

1. x ≡ 3 mod 6 and x ≡ 4 mod 7

2. x ≡ 3 mod 5 and x ≡ 2 mod 3

3. x ≡ 7 mod 9 and x ≡ 1 mod 5

4. x ≡ 10 mod 17 and x ≡ 1 mod 2

5. x ≡ 4 mod 5 and x ≡ mod 6

I. Solve for the smallest value of x in the following linear congruences.
1. x = 3 mod 6 and x = 4 mod 7
2. x = 3 mod 5 and x = 2 mod 3
3. x = 7 mod 9 and x = 1 mod 5
4. x = 10 mod 17 and x = 1 mod 2
5. x = 4 mod 5 and x = mod 6

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