Research Article
Symbolic Solution to Complete Ordinary Differential Equations with Constant Coefficients
Table 2
Numerical error in the symbolic (
) and numeric (
) approximations, with respect to the exact solution
.
| | | |
| 0.1 | 0.0000047853239 | 0.0000001672031 | 0.4 | 0.0000712453497 | 0.0000358751267 | 0.7 | 0.0002074165163 | 0.0003544605868 | 1.0 | 0.0003710415717 | 0.0014307873617 | 1.3 | 0.0004547161744 | 0.0038253117836 | 1.6 | 0.0003284030320 | 0.0080436899562 | 1.9 | 0.0000622406880 | 0.0144197157174 | 2.2 | 0.0006216534547 | 0.0230329551851 | 2.5 | 0.0011277539714 | 0.0336675456541 | 2.8 | 0.0013572764337 | 0.0458134712942 | 3.1 | 0.0012347982225 | 0.0587076431208 | 3.4 | 0.0008953272672 | 0.0714078077594 | 3.7 | 0.0006002231245 | 0.0828896894497 | 4.0 | 0.0005492334199 | 0.0921556872924 | 4.3 | 0.0007154938930 | 0.0983431460014 | 4.6 | 0.0008300921248 | 0.1008204330678 | 4.9 | 0.0005487250652 | 0.0992608551151 | 5.2 | 0.0002963137375 | 0.0936868279861 | 5.5 | 0.0015298326576 | 0.0844798593631 | 5.8 | 0.0026838757810 | 0.0723553936143 | 6.1 | 0.0032571351779 | 0.0583046260627 | 6.4 | 0.0030289419613 | 0.0435091879952 | 6.7 | 0.0022189180928 | 0.0292364988851 | 7.0 | 0.0013691340100 | 0.0167257096706 | 7.3 | 0.0010043530807 | 0.0070750555622 | 7.6 | 0.0012821439144 | 0.0011409176473 | 7.9 | 0.0018689726696 | 0.0005417339524 | 8.2 | 0.0021436005756 | 0.0021897330323 | 8.5 | 0.0016148602301 | 0.0091082291225 | 8.8 | 0.0002869277587 | 0.0196147078451 | 9.1 | 0.0012796703448 | 0.0327897203523 | 9.4 | 0.0022771057968 | 0.0474740017777 | 9.7 | 0.0021518593816 | 0.0623710756305 | 10.0 | 0.0009803998394 | 0.0761625070468 |
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