```
D02BJF Example Program Results

Case 1: intermediate output, root-finding

Calculation with TOL = 0.1E-03
X         Y(1)         Y(2)         Y(3)
0.00       0.5000       0.5000       0.6283
2.00       1.5493       0.4055       0.3066
4.00       1.7423       0.3743      -0.1289
6.00       1.0055       0.4173      -0.5507
Root of Y(1) = 0.0 at  7.288
Solution is      -0.0000       0.4749      -0.7601

Calculation with TOL = 0.1E-04
X         Y(1)         Y(2)         Y(3)
0.00       0.5000       0.5000       0.6283
2.00       1.5493       0.4055       0.3066
4.00       1.7423       0.3743      -0.1289
6.00       1.0055       0.4173      -0.5507
Root of Y(1) = 0.0 at  7.288
Solution is       0.0000       0.4749      -0.7601

Case 2: no intermediate output, root-finding

Calculation with TOL = 0.1E-03
Root of Y(1) = 0.0 at  7.288
Solution is      -0.0000       0.4749      -0.7601

Calculation with TOL = 0.1E-04
Root of Y(1) = 0.0 at  7.288
Solution is       0.0000       0.4749      -0.7601

Case 3: intermediate output, no root-finding

Calculation with TOL = 0.1E-03
X         Y(1)         Y(2)         Y(3)
0.00       0.5000       0.5000       0.6283
2.00       1.5493       0.4055       0.3066
4.00       1.7423       0.3743      -0.1289
6.00       1.0055       0.4173      -0.5507
8.00      -0.7460       0.5130      -0.8537
10.00      -3.6283       0.6333      -1.0515

Calculation with TOL = 0.1E-04
X         Y(1)         Y(2)         Y(3)
0.00       0.5000       0.5000       0.6283
2.00       1.5493       0.4055       0.3066
4.00       1.7423       0.3743      -0.1289
6.00       1.0055       0.4173      -0.5507
8.00      -0.7459       0.5130      -0.8537
10.00      -3.6282       0.6333      -1.0515

Case 4: no intermediate output, no root-finding ( integrate to XEND)

Calculation with TOL = 0.1E-03
X         Y(1)         Y(2)         Y(3)
0.00       0.5000       0.5000       0.6283
10.00      -3.6283       0.6333      -1.0515

Calculation with TOL = 0.1E-04
X         Y(1)         Y(2)         Y(3)
0.00       0.5000       0.5000       0.6283
10.00      -3.6282       0.6333      -1.0515
```