4. The following function is a cubic spline for what values of a, b, c? 2x3 – 3x2 + 3x – 6 for 0 < x < 1 x3 + ax? + bx + c s(x) - - for 1

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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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4. The following function is a cubic spline for what values of a, b, c?
4
2x3 – 3x2 + 3x – 6 for 0< x < 1
23 + ax? + bx +c
at x=1
s(x)
for 1<x < 2
Jこ
22-3x4 3x-6
-4 =ltatb+c
3 =3 +2a+8 3x+2ax +b
6=6+2a
6x?_Gx +3
12x -6
6x +Za
こ
a=0
C=-S
Transcribed Image Text:4. The following function is a cubic spline for what values of a, b, c? 4 2x3 – 3x2 + 3x – 6 for 0< x < 1 23 + ax? + bx +c at x=1 s(x) for 1<x < 2 Jこ 22-3x4 3x-6 -4 =ltatb+c 3 =3 +2a+8 3x+2ax +b 6=6+2a 6x?_Gx +3 12x -6 6x +Za こ a=0 C=-S
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