e Elementary Differential xv e Chegg Study | Guided S WileyPLUS C × secure ! htt
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e Elementary Differential xv e Chegg Study | Guided S WileyPLUS C × secure ! https://edugen.wileyplus.com/edugen/student/mainfr.uni WileyPLUS: MyWileyPLUS WileyPLUS Boyce/DiPrima, Differential Equations and Boundary Value Problems, 1oth Edition Boyce/DiPrima, Differential Equations and Boundary Value Problems, 10th Edition DIFFERENTIAL EQUATIONS (MATH 350) Home Read, Study&Practice; Asslanment> open Assignment FULL SCREEN PRINTER VERSION BACK NEXT ASSIGNMENT RESOURCES Chapter 4, Section 4.1, Question 06 Sum XIncorect. Determine the intervals in which solutions are sure to exist. Enter your answer in interval notation. Do not use inequality signs (eg, , ). ick here to enter or edit your answer Valid on the interval(s) Click if you would llke to Show Work for this questlon: Open Show Work https://edugen, wileyplus com/edugen/shared/assignment/test/aglist uni#N 1 0051Explanation / Answer
lets divide the equation by (x^2-1)
=>
y^6 + x^2/(x^2-1) y’’’ + 4/(x^2-1) = 0
a solution of equation of
y^n + p1(x) y^n-1…….+ pn y = 0 exists when p1,p2,…pn is continuous
=>
x^2/x^2- 1 is continuous for t != 1 and t != -1
also 4/(x^2-1) is also continuous for same interval
hence the interval of existence is , (-infinity, infinity) - {1,-1}
or (-infinity,-1) U ( -1,1 ) U (1, infinity)
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