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 | 1.6171 | 1.6171 | 1.6171 | 0.0000 | 0.0000 |
0.4000 | 2.7010 | 2.7026 | 2.7026 | 0.0016 | 0.0016 |
0.6000 | 3.4276 | 3.4450 | 3.4450 | 0.0173 | 0.0173 |
0.8000 | 3.9147 | 4.0073 | 4.0073 | 0.0926 | 0.0926 |
1.0000 | 4.2412 | 4.5780 | 4.5780 | 0.3368 | 0.3368 |
1.2000 | 4.6400 | 5.4208 | 5.4208 | 0.9607 | 0.9607 |
1.4000 | 4.6067 | 6.9249 | 6.9249 | 2.3181 | 2.3181 |
1.6000 | 4.7051 | 9.6553 | 9.6553 | 4.9503 | 4.9503 |
1.8000 | 4.7710 | 14.4033 | 14.4033 | 9.6323 | 9.6323 |
2.0000 | 4.8152 | 22.2360 | 22.2360 | 17.4208 | 17.4208 |