(b) By determining constants c,, C2, C3 and c4, which are not all zero and are such that cifi(x) + c2f2(x) + c3f3(x) + c4f¾(x) = 0, show that the functions fi = x, fz = e*, f3 = xe*, fa = (2 – 3x)e* are linearly dependent. %3D -
(b) By determining constants c,, C2, C3 and c4, which are not all zero and are such that cifi(x) + c2f2(x) + c3f3(x) + c4f¾(x) = 0, show that the functions fi = x, fz = e*, f3 = xe*, fa = (2 – 3x)e* are linearly dependent. %3D -
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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![(b) By determining constants c1, C2, C3 and c4, which are not all zero and are such that
Cifi(x) + c2f2(x) + czf3(x) + C4f4(x) = 0, show that the functions fi = x, f2 =
ex, f3 = xe*, fa = (2 – 3x)e* are linearly dependent.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F63139c09-85f3-4de6-81e4-34af70c339ec%2Faf338c5d-a875-4d0c-b297-ce0ef960d8b3%2Fr5iq7k_processed.png&w=3840&q=75)
Transcribed Image Text:(b) By determining constants c1, C2, C3 and c4, which are not all zero and are such that
Cifi(x) + c2f2(x) + czf3(x) + C4f4(x) = 0, show that the functions fi = x, f2 =
ex, f3 = xe*, fa = (2 – 3x)e* are linearly dependent.
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