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How many solutions are there to the equation y, + Y2 + Y3+ Y4 = 34 %3! shown in Example 9.6.5 to answer this question.

How many solutions are there to the equation y, + Y2 + Y3+ Y4 = 34 %3! shown in Example 9.6.5 to answer this question.

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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How many solutions are there to the equation y, + y, + Y3 + Y4 = 34, if each y, is a non-negative integer? Use the method shown in Example 9.6.5 to answer this question. Submit Answer
Transcribed Image Text:How many solutions are there to the equation y, + y, + Y3 + Y4 = 34, if each y, is a non-negative integer? Use the method shown in Example 9.6.5 to answer this question. Submit Answer
Therefore, there are as many solutions to the equation as there are strings of ten crosses and three vertical bars, namely, 13 12 11 10! 101-3-2-1 10+3 13 13! = 286. 10 10!(13 – 10)! Example 9.6.6 illustrates a variation on Example 9.6.5.
Transcribed Image Text:Therefore, there are as many solutions to the equation as there are strings of ten crosses and three vertical bars, namely, 13 12 11 10! 101-3-2-1 10+3 13 13! = 286. 10 10!(13 – 10)! Example 9.6.6 illustrates a variation on Example 9.6.5.
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