1. Given that Pn(x) flrol+flro, z1](z-ro) + a₂(x-xo)(x-T₁) +as(x − To) (x − x₁)(x − x₂) + ......+ an (T-TO)... (x-In-1), - - use Pr (2) to show that a2 = f[ro, F1, T2].

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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1. Given that
Pn(x)
=
f[ro] + f[xo, r1] (x-xo) + a₂(x − xo) (x − x₁)
1
-
+as(x − TO)(x − x₁)(x − x₂) +......+ an(x-xo)... (x-In-1),
-
use Pn (2) to show that a2 = f(xo, 21, x2].
Transcribed Image Text:1. Given that Pn(x) = f[ro] + f[xo, r1] (x-xo) + a₂(x − xo) (x − x₁) 1 - +as(x − TO)(x − x₁)(x − x₂) +......+ an(x-xo)... (x-In-1), - use Pn (2) to show that a2 = f(xo, 21, x2].
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