Assume f(x) = ) anx" converges on (-R, R). Show that F(r) = o n+1 is defined m%3D0 n+1 on (–R, R) and satisfies F' = f on (-R, R).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Assume f(x) = ) anx" converges on (-R, R). Show that F(r) = o n+1 is defined
m%3D0 n+1
on (–R, R) and satisfies F' = f on (-R, R).
Transcribed Image Text:Assume f(x) = ) anx" converges on (-R, R). Show that F(r) = o n+1 is defined m%3D0 n+1 on (–R, R) and satisfies F' = f on (-R, R).
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