/home/denis/python-projects/computations/math-models-course-work/venv/bin/python /home/denis/python-projects/computations/math-models-course-work/main.py
Solution:
+-----+---------------+-----+---------------+----+---------------+-------------+------------+
| x1  | x2            | x3  | x4            | p1 | p2            | p3          | p4         |
+-----+---------------+-----+---------------+----+---------------+-------------+------------+
| 0.1 | 210.656160256 | 3.9 | 10.4076526956 | 2  | 40.1017397756 | 0.000950625 | 0.00950625 |
| 0.2 | 55.6621578947 | 3.8 | 5.44066204986 | 2  | 20.1974115789 | 0.00361     | 0.0361     |
| 0.3 | 26.2235758258 | 3.7 | 3.80744564159 | 2  | 13.6210131644 | 0.007700625 | 0.07700625 |
| 0.4 | 15.6737777778 | 3.6 | 3.00809876543 | 2  | 10.3731911111 | 0.01296     | 0.1296     |
| 0.5 | 10.6794642857 | 3.5 | 2.54272959184 | 2  | 8.45457589286 | 0.019140625 | 0.19140625 |
| 0.6 | 7.90733986928 | 3.4 | 2.24479469435 | 2  | 7.1991172549  | 0.02601     | 0.2601     |
| 0.7 | 6.20098438466 | 3.3 | 2.04300646071 | 2  | 6.32170567641 | 0.033350625 | 0.33350625 |
| 0.8 | 5.0715        | 3.2 | 1.9018125     | 2  | 5.68008       | 0.04096     | 0.4096     |
| 0.9 | 4.28257755874 | 3.1 | 1.80155830154 | 2  | 5.19546577509 | 0.048650625 | 0.48650625 |
| 1.0 | 3.70833333333 | 3.0 | 1.73055555556 | 2  | 4.82083333333 | 0.05625     | 0.5625     |
| 1.1 | 3.27656105728 | 2.9 | 1.68148062372 | 2  | 4.52647273119 | 0.063600625 | 0.63600625 |
| 1.2 | 2.94336507937 | 2.8 | 1.64957823129 | 2  | 4.2927847619  | 0.07056     | 0.7056     |
| 1.3 | 2.68078309226 | 2.7 | 1.6316995621  | 2  | 4.1064033084  | 0.077000625 | 0.77000625 |
| 1.4 | 2.47030926217 | 2.6 | 1.62575908707 | 2  | 3.9579843956  | 0.08281     | 0.8281     |
| 1.5 | 2.29930555556 | 2.5 | 1.63041666667 | 2  | 3.84088541667 | 0.087890625 | 0.87890625 |
| 1.6 | 2.15891666667 | 2.4 | 1.64488888889 | 2  | 3.75034666667 | 0.09216     | 0.9216     |
| 1.7 | 2.0428094253  | 2.3 | 1.66883973646 | 2  | 3.68297036125 | 0.095550625 | 0.95550625 |
| 1.8 | 1.94638496072 | 2.2 | 1.7023241506  | 2  | 3.6363840404  | 0.09801     | 0.9801     |
| 1.9 | 1.86627288616 | 2.1 | 1.74577100489 | 2  | 3.60902381266 | 0.099500625 | 0.99500625 |
| -   | -             | -   | -             | -  | -             | -           | -          |
| 2.1 | 1.74577100489 | 1.9 | 1.86627288616 | 2  | 3.60902381266 | 0.099500625 | 0.99500625 |
| 2.2 | 1.7023241506  | 1.8 | 1.94638496072 | 2  | 3.6363840404  | 0.09801     | 0.9801     |
| 2.3 | 1.66883973646 | 1.7 | 2.0428094253  | 2  | 3.68297036125 | 0.095550625 | 0.95550625 |
| 2.4 | 1.64488888889 | 1.6 | 2.15891666667 | 2  | 3.75034666667 | 0.09216     | 0.9216     |
| 2.5 | 1.63041666667 | 1.5 | 2.29930555556 | 2  | 3.84088541667 | 0.087890625 | 0.87890625 |
| 2.6 | 1.62575908707 | 1.4 | 2.47030926217 | 2  | 3.9579843956  | 0.08281     | 0.8281     |
| 2.7 | 1.6316995621  | 1.3 | 2.68078309226 | 2  | 4.1064033084  | 0.077000625 | 0.77000625 |
| 2.8 | 1.64957823129 | 1.2 | 2.94336507937 | 2  | 4.2927847619  | 0.07056     | 0.7056     |
| 2.9 | 1.68148062372 | 1.1 | 3.27656105728 | 2  | 4.52647273119 | 0.063600625 | 0.63600625 |
| 3.0 | 1.73055555556 | 1.0 | 3.70833333333 | 2  | 4.82083333333 | 0.05625     | 0.5625     |
| 3.1 | 1.80155830154 | 0.9 | 4.28257755874 | 2  | 5.19546577509 | 0.048650625 | 0.48650625 |
| 3.2 | 1.9018125     | 0.8 | 5.0715        | 2  | 5.68008       | 0.04096     | 0.4096     |
| 3.3 | 2.04300646071 | 0.7 | 6.20098438466 | 2  | 6.32170567641 | 0.033350625 | 0.33350625 |
| 3.4 | 2.24479469435 | 0.6 | 7.90733986928 | 2  | 7.1991172549  | 0.02601     | 0.2601     |
| 3.5 | 2.54272959184 | 0.5 | 10.6794642857 | 2  | 8.45457589286 | 0.019140625 | 0.19140625 |
| 3.6 | 3.00809876543 | 0.4 | 15.6737777778 | 2  | 10.3731911111 | 0.01296     | 0.1296     |
| 3.7 | 3.80744564159 | 0.3 | 26.2235758258 | 2  | 13.6210131644 | 0.007700625 | 0.07700625 |
| 3.8 | 5.44066204986 | 0.2 | 55.6621578947 | 2  | 20.1974115789 | 0.00361     | 0.0361     |
| 3.9 | 10.4076526956 | 0.1 | 210.656160256 | 2  | 40.1017397756 | 0.000950625 | 0.00950625 |
+-----+---------------+-----+---------------+----+---------------+-------------+------------+

 Verification:
+-----+--------+--------+--------+--------+----------+
| x1  | dx1/dt | dx2/dt | dx3/dt | dx4/dt | Jacobian |
+-----+--------+--------+--------+--------+----------+
| 0.1 | 6e-16  | 0e+00  | 7e-12  | -7e-12 | -6e-16   |
| 0.2 | -2e-16 | 0e+00  | 9e-14  | -8e-14 | 3e-15    |
| 0.3 | -2e-17 | 4e-16  | 4e-13  | -4e-13 | -3e-15   |
| 0.4 | -5e-16 | 0e+00  | 1e-13  | -1e-13 | 9e-15    |
| 0.5 | -2e-16 | 0e+00  | -8e-15 | 1e-14  | 2e-15    |
| 0.6 | -3e-16 | 0e+00  | -9e-15 | 4e-15  | -6e-15   |
| 0.7 | 7e-17  | 2e-16  | 2e-14  | -2e-14 | 2e-15    |
| 0.8 | 3e-16  | 0e+00  | 3e-14  | -3e-14 | -9e-15   |
| 0.9 | -1e-16 | -2e-16 | 5e-15  | -7e-15 | -2e-14   |
| 1.0 | 2e-16  | -2e-16 | 2e-15  | -2e-15 | -5e-15   |
| 1.1 | 3e-16  | 0e+00  | 6e-15  | -7e-15 | -6e-15   |
| 1.2 | 1e-17  | -1e-16 | -9e-16 | 1e-16  | 5e-15    |
| 1.3 | 6e-16  | -2e-16 | 7e-15  | -7e-15 | -3e-15   |
| 1.4 | 3e-17  | -1e-16 | 9e-16  | -3e-15 | -1e-14   |
| 1.5 | -1e-15 | 1e-16  | -2e-15 | -1e-16 | 3e-15    |
| 1.6 | 8e-16  | 6e-16  | -8e-16 | 2e-15  | -3e-15   |
| 1.7 | 9e-17  | -2e-16 | 8e-16  | 2e-16  | -1e-14   |
| 1.8 | -1e-15 | -4e-16 | -1e-15 | 4e-16  | -1e-14   |
| 1.9 | 5e-16  | 3e-16  | -5e-16 | 6e-16  | 7e-15    |
| 2.1 | -2e-16 | -3e-16 | 1e-15  | -6e-16 | 0e+00    |
| 2.2 | 1e-15  | -2e-16 | -1e-15 | 2e-16  | 8e-15    |
| 2.3 | -7e-16 | 4e-16  | 7e-16  | -1e-15 | -5e-15   |
| 2.4 | 9e-16  | -8e-16 | 9e-16  | -1e-16 | -1e-14   |
| 2.5 | 0e+00  | 0e+00  | -9e-16 | 0e+00  | 0e+00    |
| 2.6 | -1e-15 | -6e-16 | -2e-15 | 1e-15  | 6e-15    |
| 2.7 | -1e-15 | 7e-16  | -5e-16 | 2e-16  | 0e+00    |
| 2.8 | -8e-16 | 2e-16  | -5e-15 | 4e-15  | 1e-14    |
| 2.9 | -7e-16 | 7e-16  | -1e-15 | 1e-15  | 0e+00    |
| 3.0 | 7e-16  | -4e-16 | 2e-16  | -4e-16 | -4e-15   |
| 3.1 | -2e-15 | 0e+00  | -3e-15 | 3e-15  | 9e-15    |
| 3.2 | 2e-15  | -2e-15 | 7e-16  | -7e-16 | 2e-15    |
| 3.3 | -4e-16 | 0e+00  | -2e-15 | 1e-15  | 1e-15    |
| 3.4 | -2e-15 | 2e-16  | -2e-15 | 2e-15  | 1e-15    |
| 3.5 | -7e-16 | -3e-15 | 7e-16  | -9e-16 | -1e-15   |
| 3.6 | -1e-15 | -2e-16 | -5e-15 | 5e-15  | 3e-15    |
| 3.7 | 6e-15  | -1e-15 | -8e-15 | 8e-15  | -1e-15   |
| 3.8 | 1e-15  | 2e-15  | 7e-15  | -6e-15 | 1e-15    |
| 3.9 | -1e-14 | 6e-15  | 2e-14  | -2e-14 | -2e-16   |
+-----+--------+--------+--------+--------+----------+