1.a) Given the equation xị + x2 + x3 = 16, how many solutions (x1, x2, x3) does it have, where x1 > 0, x2 > 0, x3 > 0 are integers. b) How many integer solutions does the equation in Part a has if we require instead that a1 2 0, x2 > 0, and r3 > 0. c) How many integer solutions does the equation in Part a has if we require that x1 2 2, x2 2 3, and x3 2 5.
1.a) Given the equation xị + x2 + x3 = 16, how many solutions (x1, x2, x3) does it have, where x1 > 0, x2 > 0, x3 > 0 are integers. b) How many integer solutions does the equation in Part a has if we require instead that a1 2 0, x2 > 0, and r3 > 0. c) How many integer solutions does the equation in Part a has if we require that x1 2 2, x2 2 3, and x3 2 5.
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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