Number of problems in this table is 16
Column notations: A is ODE degree. B is Program Number of solutions generated. C is CAS Number of solutions generated.
|
# |
ODE |
A |
B |
C |
CAS classification |
Solved? |
Verified? |
time (sec) |
|
\[ {}y^{\prime } = \frac {-6 x +y-3}{2 x -y-1} \] |
1 |
1 |
1 |
[[_homogeneous, ‘class C‘], _rational, [_Abel, ‘2nd type‘, ‘class A‘]] |
✓ |
✓ |
1.35 |
|
|
\[ {}y^{\prime } = \frac {2 x +y+1}{x +2 y-4} \] |
1 |
1 |
1 |
[[_homogeneous, ‘class C‘], _rational, [_Abel, ‘2nd type‘, ‘class A‘]] |
✓ |
✓ |
1.258 |
|
|
\[ {}y^{\prime } = \frac {-x +3 y-14}{x +y-2} \] |
1 |
1 |
1 |
[[_homogeneous, ‘class C‘], _rational, [_Abel, ‘2nd type‘, ‘class A‘]] |
✓ |
✓ |
0.929 |
|
|
\[ {}y^{\prime } = \frac {x +y-2}{y-x -4} \] |
1 |
1 |
1 |
[[_homogeneous, ‘class C‘], _rational, [_Abel, ‘2nd type‘, ‘class A‘]] |
✓ |
✓ |
1.264 |
|
|
\[ {}2 x -4 y+6+\left (x +y-2\right ) y^{\prime } = 0 \] |
1 |
1 |
1 |
[[_homogeneous, ‘class C‘], _rational, [_Abel, ‘2nd type‘, ‘class A‘]] |
✓ |
✓ |
0.81 |
|
|
\[ {}y^{\prime } = \frac {2 y-x +5}{2 x -y-4} \] |
1 |
1 |
1 |
[[_homogeneous, ‘class C‘], _rational, [_Abel, ‘2nd type‘, ‘class A‘]] |
✓ |
✓ |
0.946 |
|
|
\[ {}y^{\prime } = -\frac {4 x +3 y+15}{2 x +y+7} \] |
1 |
1 |
1 |
[[_homogeneous, ‘class C‘], _rational, [_Abel, ‘2nd type‘, ‘class A‘]] |
✓ |
✓ |
0.898 |
|
|
\[ {}y^{\prime } = \frac {x +3 y-5}{x -y-1} \] |
1 |
1 |
1 |
[[_homogeneous, ‘class C‘], _rational, [_Abel, ‘2nd type‘, ‘class A‘]] |
✓ |
✓ |
0.607 |
|
|
\[ {}2 x +y+1-\left (4 x +2 y-3\right ) y^{\prime } = 0 \] |
1 |
1 |
1 |
[[_homogeneous, ‘class C‘], _rational, [_Abel, ‘2nd type‘, ‘class A‘]] |
✓ |
✓ |
0.326 |
|
|
\[ {}x -y-1+\left (-x +y+2\right ) y^{\prime } = 0 \] |
1 |
1 |
2 |
[[_homogeneous, ‘class C‘], _exact, _rational, [_Abel, ‘2nd type‘, ‘class A‘]] |
✓ |
✓ |
0.306 |
|
|
\[ {}\left (x +4 y\right ) y^{\prime } = 2 x +3 y-5 \] |
1 |
1 |
1 |
[[_homogeneous, ‘class C‘], _rational, [_Abel, ‘2nd type‘, ‘class A‘]] |
✓ |
✓ |
0.892 |
|
|
\[ {}y^{\prime } = \frac {x -2 y+5}{y-2 x -4} \] |
1 |
1 |
1 |
[[_homogeneous, ‘class C‘], _rational, [_Abel, ‘2nd type‘, ‘class A‘]] |
✓ |
✓ |
0.926 |
|
|
\[ {}y^{\prime } = \frac {3 x -y+1}{2 x +y+4} \] |
1 |
1 |
1 |
[[_homogeneous, ‘class C‘], _rational, [_Abel, ‘2nd type‘, ‘class A‘]] |
✓ |
✓ |
0.9 |
|
|
\[ {}y^{\prime } = \frac {x -y+2}{x +y-1} \] |
1 |
1 |
1 |
[[_homogeneous, ‘class C‘], _rational, [_Abel, ‘2nd type‘, ‘class A‘]] |
✓ |
✓ |
1.474 |
|
|
\[ {}y^{\prime } = \frac {2 x +3 y+1}{x -2 y-1} \] |
1 |
1 |
1 |
[[_homogeneous, ‘class C‘], _rational, [_Abel, ‘2nd type‘, ‘class A‘]] |
✓ |
✓ |
1.199 |
|
|
\[ {}y^{\prime } = \frac {1+x +y}{2 x +2 y-1} \] |
1 |
1 |
1 |
[[_homogeneous, ‘class C‘], _rational, [_Abel, ‘2nd type‘, ‘class A‘]] |
✓ |
✓ |
0.244 |
|
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