2. Find the coefficients in the interval [0, 2], where s (x) is a natural cubic spline.1+x - ax? + br,re (0, 1],z) = { c+d{x= 1) + e(z – 2)² + (x – 2)*, z€ [1,2).%3Dc+ d(x – 1) +e(r - 2)2 + (r- 2)°, rE [1,2].

we have s(x)=1+x-ax2+bx3 x∈0,1c+d(x-1)+e(x-2)2+(x-2)3 x∈1,2 s(x)…

Answered: 2. Find the coefficients in the…

2. Find the coefficients in the interval [0, 2], where s (x) is a natural cubic spline. 1+x - ax? + br³, ) ={c+d(x- 1) + e(z– 2)ª + (z – 2)", z € [1,2). I € (0, 1],

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

2. Find the coefficients in the interval [0, 2], where s (x) is a natural cubic spline.
1+x - ax? + br,
re (0, 1],
z) = { c+d{x= 1) + e(z – 2)² + (x – 2)*, z€ [1,2).
%3D
c+ d(x – 1) +e(r - 2)2 + (r- 2)°, rE [1,2].

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