If f', and y are continuous on [a, b] and derivable on Ja, b[, then show that there is a value c lying between a and b such that f(a) f(b) f(c) (a) w(a) (b) (c) = 0 (b) y'(c)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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If f', and y are continuous on [a, b] and derivable on Ja, b[, then show that there is a value c lying
between a and b such that
f(a) f(b) f'(c)
þ(a) (b) $'(c) = 0
y(a) y(b) y'(c)
Transcribed Image Text:If f', and y are continuous on [a, b] and derivable on Ja, b[, then show that there is a value c lying between a and b such that f(a) f(b) f'(c) þ(a) (b) $'(c) = 0 y(a) y(b) y'(c)
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