b What is the general solution of the differential equation? Reason out why it is the general solution.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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2. Consider the differential equation r°y(3) – 6xy' + 12y = 0.
a Show that the set {x;}"-1 is linearly independent.
b What is the general solution of the differential equation? Reason out why it is the general solution.
Find distinct values of r, say r1,r2,. .."n so that y = x"i is a solution of the differential equation for each i = 1,...n.
C
Transcribed Image Text:2. Consider the differential equation r°y(3) – 6xy' + 12y = 0. a Show that the set {x;}"-1 is linearly independent. b What is the general solution of the differential equation? Reason out why it is the general solution. Find distinct values of r, say r1,r2,. .."n so that y = x"i is a solution of the differential equation for each i = 1,...n. C
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