Column notations: A is ODE degree. B is Program Number of solutions generated. C is CAS Number of solutions generated.
|
# |
ODE |
A |
B |
C |
Program classification |
CAS classification |
Solved? |
Verified? |
time (sec) |
|
\[ {}-a y^{3}-\frac {b}{x^{\frac {3}{2}}}+y^{\prime } = 0 \] |
1 |
1 |
1 |
abelFirstKind, first_order_ode_lie_symmetry_calculated |
[[_homogeneous, ‘class G‘], _rational, _Abel] |
✓ |
✓ |
0.852 |
|
|
\[ {}a x y^{3}+b y^{2}+y^{\prime } = 0 \] |
1 |
1 |
1 |
abelFirstKind, exactWithIntegrationFactor, first_order_ode_lie_symmetry_calculated |
[[_homogeneous, ‘class G‘], _Abel] |
✓ |
✓ |
4.519 |
|
|
\[ {}y^{\prime }-x^{a} y^{3}+3 y^{2}-x^{-a} y-x^{-2 a}+a \,x^{-a -1} = 0 \] |
1 |
1 |
2 |
abelFirstKind |
[_Abel] |
✓ |
✗ |
55.555 |
|
|
\[ {}y^{\prime }-\left (y-f \left (x \right )\right ) \left (y-g \left (x \right )\right ) \left (y-\frac {a f \left (x \right )+b g \left (x \right )}{a +b}\right ) h \left (x \right )-\frac {f^{\prime }\left (x \right ) \left (y-g \left (x \right )\right )}{f \left (x \right )-g \left (x \right )}-\frac {g^{\prime }\left (x \right ) \left (y-f \left (x \right )\right )}{g \left (x \right )-f \left (x \right )} = 0 \] |
1 |
0 |
1 |
abelFirstKind |
[_Abel] |
✗ |
N/A |
4.111 |
|
|
\[ {}x^{2} y^{\prime }+x y^{3}+a y^{2} = 0 \] |
1 |
0 |
1 |
abelFirstKind |
[_rational, _Abel] |
✗ |
N/A |
1.022 |
|
|
\[ {}\left (x a +b \right )^{2} y^{\prime }+\left (x a +b \right ) y^{3}+c y^{2} = 0 \] |
1 |
0 |
1 |
abelFirstKind |
[_rational, _Abel] |
✗ |
N/A |
3.542 |
|
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