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258
0.9786338518
> Lpi[3]:=Runge_Kutt(1.5);
Lpi
3
:= [t = 1.5, p
0
t( ) = 0.286213544236109174, p
1
t( ) = 0.349803781980962346,
p
2
t( ) = 0.212478425238188384, p
3
t( ) = 0.0846530453924127790, p
4
t( ) = 0.0239472623493153306,
p
5
t( ) = 0.00416074768888044252, p
6
t( ) = -0.000722857123369889752,
p
7
t( ) = 0.000125572225305657362, p
8
t( ) = -0.0000218116817224484696,
p
9
t( ) = 0.00000378813963176650392, p
10
t( ) = -6.57875427459016678 10
-7
,
p
11
t( ) = 1.14139816984668836 10
-7
, p
12
t( ) = -1.99312175151031828 10
-8
,
p
13
t( ) = 3.29143191882903562 10
-9
, p
14
t( ) = -8.09757797243293456 10
-10
,
p
15
t( ) = -1.99149148638418078 10
-10
]
> add(rhs(Lpi[3][i]), i=2..n+m+2);
0.9606409370
> Lpi[4]:=Runge_Kutt(2.0);
Lpi
4
:= [t = 2.0, p
0
t( ) = 0.280490572394702653, p
1
t( ) = 0.343236637358365182,
p
2
t( ) = 0.208731223546831406, p
3
t( ) = 0.0832455820990807005, p
4
t( ) = 0.0235682782287928578,
p
5
t( ) = 0.00409674657127121964, p
6
t( ) = -0.000712109545727838728,
p
7
t( ) = 0.000123779958681629818, p
8
t( ) = -0.0000215154173442108834,
p
9
t( ) = 0.00000373971331404797910, p
10
t( ) = -6.50076789964125307 10
-7
,
p
11
t( ) = 1.12907505839305068 10
-7
, p
12
t( ) = -1.97429590389136502 10
-8
,
p
13
t( ) = 3.26299874071853600 10
-9
, p
14
t( ) = -8.06113990264782594 10
-10
,
p
15
t( ) = -1.99060469424200050 10
-10
]
> add(rhs(Lpi[4][i]), i=2..n+m+2);
0.9427623804
> Lpi[5]:=Runge_Kutt(5.0);
Lpi
5
:= [t = 5.0, p
0
t( ) = 0.250510816421309290, p
1
t( ) = 0.306594487803761472,
p
2
t( ) = 0.186473053367351954, p
3
t( ) = 0.0743775114390351905, p
4
t( ) = 0.0210594814558259479,
p
5
t( ) = 0.00366088858374711028, p
6
t( ) = -0.000636380889392754408,
p
7
t( ) = 0.000110611335199102404, p
8
t( ) = -0.0000192264844653646133,
p
9
t( ) = 0.00000334792335774215258, p
10
t( ) = -5.81930015469857459 10
-7
,
p
11
t( ) = 9.98718243511481420 10
-8
, p
12
t( ) = -1.74858921464577080 10
-8
,
0.9786338518
> Lpi[3]:=Runge_Kutt(1.5);
Lpi3 := [t = 1.5, p0(t) = 0.286213544236109174, p1(t) = 0.349803781980962346,
p2(t) = 0.212478425238188384, p3(t) = 0.0846530453924127790, p4(t) = 0.0239472623493153306,
p5(t) = 0.00416074768888044252, p6(t) = -0.000722857123369889752,
p7(t) = 0.000125572225305657362, p8(t) = -0.0000218116817224484696,
-7
p9(t) = 0.00000378813963176650392, p10(t) = -6.57875427459016678 10 ,
-7 -8
p11(t) = 1.14139816984668836 10 , p12(t) = -1.99312175151031828 10 ,
-9 -10
p13(t) = 3.29143191882903562 10 , p14(t) = -8.09757797243293456 10 ,
-10
p15(t) = -1.99149148638418078 10 ]
> add(rhs(Lpi[3][i]), i=2..n+m+2);
0.9606409370
> Lpi[4]:=Runge_Kutt(2.0);
Lpi4 := [t = 2.0, p0(t) = 0.280490572394702653, p1(t) = 0.343236637358365182,
p2(t) = 0.208731223546831406, p3(t) = 0.0832455820990807005, p4(t) = 0.0235682782287928578,
p5(t) = 0.00409674657127121964, p6(t) = -0.000712109545727838728,
p7(t) = 0.000123779958681629818, p8(t) = -0.0000215154173442108834,
-7
p9(t) = 0.00000373971331404797910, p10(t) = -6.50076789964125307 10 ,
-7 -8
p11(t) = 1.12907505839305068 10 , p12(t) = -1.97429590389136502 10 ,
-9 -10
p13(t) = 3.26299874071853600 10 , p14(t) = -8.06113990264782594 10 ,
-10
p15(t) = -1.99060469424200050 10 ]
> add(rhs(Lpi[4][i]), i=2..n+m+2);
0.9427623804
> Lpi[5]:=Runge_Kutt(5.0);
Lpi5 := [t = 5.0, p0(t) = 0.250510816421309290, p1(t) = 0.306594487803761472,
p2(t) = 0.186473053367351954, p3(t) = 0.0743775114390351905, p4(t) = 0.0210594814558259479,
p5(t) = 0.00366088858374711028, p6(t) = -0.000636380889392754408,
p7(t) = 0.000110611335199102404, p8(t) = -0.0000192264844653646133,
-7
p9(t) = 0.00000334792335774215258, p10(t) = -5.81930015469857459 10 ,
-8 -8
p11(t) = 9.98718243511481420 10 , p12(t) = -1.74858921464577080 10 ,
258
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