x-value | Exact solution | Picard’s solution | Taylor’s solution | Absolute Error (Picard) | Absolute Error (Taylor) |
0 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 |
0.2000 | 1.7783 | 1.7783 | 1.7783 | 0.0000 | 0.0000 |
0.4000 | 3.2342 | 3.2342 | 3.2342 | 0.0001 | 0.0001 |
0.6000 | 4.4262 | 4.4267 | 4.4267 | 0.0006 | 0.0006 |
0.8000 | 5.4021 | 5.4053 | 5.4053 | 0.0032 | 0.0032 |
1.0000 | 6.2011 | 6.2130 | 6.2130 | 0.0119 | 0.0119 |
1.2000 | 6.8553 | 6.8899 | 6.8899 | 0.0346 | 0.0346 |
1.4000 | 7.3909 | 7.4761 | 7.4761 | 0.0852 | 0.0852 |
1.6000 | 7.8294 | 7.0146 | 7.0146 | 0.1852 | 0.1852 |
1.8000 | 8.1884 | 8.5549 | 8.5549 | 0.3665 | 0.3665 |
2.0000 | 8.4824 | 9.1560 | 9.1560 | 0.6736 | 0.6736 |