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