Hermite polynomial

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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= 5,
Problem 1. Suppose f(x) is a function with f(0) = 2, ƒ'(0) = 1, ƒ(1) = 4, ƒ'(1¹) = −1, ƒ(3)
and f'(3) = -2. Find the cubic Hermite polynomial that agrees with f and f' at the points to = 0,
T₁ = 1, and r₂ = 3.
Transcribed Image Text:= 5, Problem 1. Suppose f(x) is a function with f(0) = 2, ƒ'(0) = 1, ƒ(1) = 4, ƒ'(1¹) = −1, ƒ(3) and f'(3) = -2. Find the cubic Hermite polynomial that agrees with f and f' at the points to = 0, T₁ = 1, and r₂ = 3.
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