pe 19.27. F four equidistant values u_1, Uo, U1, and uz are given and a value u, is Enterpolated by Lagrange's formula, show that yly? – 1) x(x² – 1) Uz = yuo + Xu, + Au_1+ 3! where x + y =1

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Example 19-27. If four equidistant values u_1, Uo, U1, and uz are given and a value u, is
interpolated by Lagrange's formula, show that
y(y² – 1)
x(x² – 1)
3 !
-
Ux= yuo+ xu1 +
A2u_1+
%3D
3!
where x +y =1,
Transcribed Image Text:Example 19-27. If four equidistant values u_1, Uo, U1, and uz are given and a value u, is interpolated by Lagrange's formula, show that y(y² – 1) x(x² – 1) 3 ! - Ux= yuo+ xu1 + A2u_1+ %3D 3! where x +y =1,
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