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We would like to solve the general case. How many non-negative, integer solutions exist for the following

We would like to solve the general case. How many non-negative, integer solutions exist for the following

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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Consider the integer equation x, +x, = 4 where x,,x, e Z. The non-negative solutions to this equation can be listed down as {0,4}, {1,3}, {2,2}, {3,1} and {4,0}. Thus, 5 non-negative integer solutions exist for this equation. We would like to solve the general case. How many non-negative, integer solutions exist for the following equation? X, + x, + .…+x, =r
Transcribed Image Text:Consider the integer equation x, +x, = 4 where x,,x, e Z. The non-negative solutions to this equation can be listed down as {0,4}, {1,3}, {2,2}, {3,1} and {4,0}. Thus, 5 non-negative integer solutions exist for this equation. We would like to solve the general case. How many non-negative, integer solutions exist for the following equation? X, + x, + .…+x, =r
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