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(ii) Show that the set of solutions {₁, 2} is a fundamental set of solutions. (iii) Hence, or otherwise, write down the general solution of the equation

(ii) Show that the set of solutions {₁, 2} is a fundamental set of solutions. (iii) Hence, or otherwise, write down the general solution of the equation

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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DON'T SOLVE (i), I already solved it, I just need (ii) and (iii) please, thank you. 

(b) Consider the 2nd order linear differential equation xy" + y = 0. (i) Given that y₁= In solves the equation, use reduction of order to obtain the other solution 1/₂. (ii) Show that the set of solutions {₁, 2} is a fundamental set of solutions. (iii) Hence, or otherwise, write down the general solution of the equation
Transcribed Image Text:(b) Consider the 2nd order linear differential equation xy" + y = 0. (i) Given that y₁= In solves the equation, use reduction of order to obtain the other solution 1/₂. (ii) Show that the set of solutions {₁, 2} is a fundamental set of solutions. (iii) Hence, or otherwise, write down the general solution of the equation
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