Metode Numerik 2 - Universitas Indonesia
Metode Numerik 2 - Universitas Indonesia
Metode Numerik 2 - Universitas Indonesia
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a<br />
(c<br />
3<br />
1<br />
w<br />
c<br />
w<br />
b<br />
w<br />
a<br />
)<br />
a<br />
(c<br />
2<br />
1<br />
cw<br />
bw<br />
aw<br />
a<br />
-<br />
c<br />
w<br />
w<br />
w<br />
3<br />
3<br />
3<br />
2<br />
2<br />
2<br />
1<br />
2<br />
2<br />
2<br />
3<br />
2<br />
1<br />
3<br />
2<br />
1<br />
−<br />
=<br />
+<br />
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=<br />
+<br />
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)<br />
w<br />
c<br />
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b<br />
w<br />
t(a<br />
)<br />
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bw<br />
s(aw<br />
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w<br />
w<br />
r(w<br />
)<br />
a<br />
t(c<br />
3<br />
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s(c<br />
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r(c<br />
)<br />
tc<br />
sc<br />
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w<br />
)<br />
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sb<br />
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sa<br />
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w<br />
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)<br />
tx<br />
sx<br />
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2<br />
2<br />
2<br />
1<br />
2<br />
3<br />
2<br />
1<br />
3<br />
2<br />
1<br />
3<br />
3<br />
2<br />
2<br />
2<br />
3<br />
2<br />
2<br />
2<br />
1<br />
c<br />
a<br />
2<br />
+<br />
+<br />
+<br />
+<br />
+<br />
+<br />
+<br />
+<br />
=<br />
−<br />
+<br />
−<br />
+<br />
+<br />
+<br />
+<br />
+<br />
+<br />
+<br />
+<br />
+<br />
=<br />
+<br />
+<br />
∫<br />
2<br />
tx<br />
sx<br />
r<br />
p(x) +<br />
+<br />
=<br />
a)<br />
(c<br />
3<br />
2<br />
w<br />
a)<br />
(c<br />
6<br />
1<br />
w<br />
w<br />
2<br />
3<br />
1<br />
−<br />
=<br />
−<br />
=<br />
=<br />
Integrasi numerik dikerjakan untuk N = 3:<br />
p(c)<br />
w<br />
p(b)<br />
w<br />
p(a)<br />
w<br />
)<br />
p(x<br />
w<br />
dx<br />
p(x) 3<br />
2<br />
1<br />
3<br />
1<br />
i<br />
i<br />
i<br />
c<br />
a<br />
+<br />
+<br />
=<br />
= ∑<br />
∫ =<br />
?<br />
w<br />
,<br />
w<br />
,<br />
w 3<br />
2<br />
1<br />
=<br />
Mencari :<br />
3<br />
2<br />
1<br />
w<br />
,<br />
w<br />
,<br />
w<br />
86