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3. Show that if fE R(a1) NR(a2) on [a, b), then f E R(cia1 + c2a2) on [a, b] for any constants c and c2 and we have | f d(ca1 + c202) = C1 | f dan + c2 f do2.

3. Show that if fE R(a1) NR(a2) on [a, b), then f E R(cia1 + c2a2) on [a, b] for any constants c and c2 and we have | f d(ca1 + c202) = C1 | f dan + c2 f do2.

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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3. Show that if f E R(a1) N R(a2) on [a, b), then f E R(cia1 + c202) on [a, b] for any constants c and c2 and we have f d(cia1 + c20a2) = c1 | f dan + c2 f da2.
Transcribed Image Text:3. Show that if f E R(a1) N R(a2) on [a, b), then f E R(cia1 + c202) on [a, b] for any constants c and c2 and we have f d(cia1 + c20a2) = c1 | f dan + c2 f da2.
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