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if a vector space is the set of real valued continuous functions over R , then show dy d y -9. dx? dx that the set W of differential equation 2- +2y=0 is a subspace ofV. || ) Determine whether the set of vectors in P, is linearly independent or linearly dependent. S = {1+x-2x²,2+5x – x²,x+x?}

if a vector space is the set of real valued continuous functions over R , then show dy d y -9. dx? dx that the set W of differential equation 2- +2y=0 is a subspace ofV. || ) Determine whether the set of vectors in P, is linearly independent or linearly dependent. S = {1+x-2x²,2+5x – x²,x+x?}

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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if a vector space is the set of real valued continuous functions over R , then show dy d y -9. dx? dx that the set W of differential equation 2- +2y=0 is a subspace ofV. || ) Determine whether the set of vectors in P, is linearly independent or linearly dependent. S = {1+x-2x²,2+5x – x²,x+x?}
Transcribed Image Text:if a vector space is the set of real valued continuous functions over R , then show dy d y -9. dx? dx that the set W of differential equation 2- +2y=0 is a subspace ofV. || ) Determine whether the set of vectors in P, is linearly independent or linearly dependent. S = {1+x-2x²,2+5x – x²,x+x?}
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