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) |
\(\left [\begin {array}{cc} 4 & -2 \\ 1 & 1 \end {array}\right ]\) |
|
|
|
Eigenvectors |
N/A |
✓ |
N/A |
0.11 |
|
\(\left [\begin {array}{cc} 5 & -6 \\ 3 & -4 \end {array}\right ]\) |
|
|
|
Eigenvectors |
N/A |
✓ |
N/A |
0.108 |
|
\(\left [\begin {array}{cc} 8 & -6 \\ 3 & -1 \end {array}\right ]\) |
|
|
|
Eigenvectors |
N/A |
✓ |
N/A |
0.109 |
|
\(\left [\begin {array}{cc} 4 & -3 \\ 2 & -1 \end {array}\right ]\) |
|
|
|
Eigenvectors |
N/A |
✓ |
N/A |
0.115 |
|
\(\left [\begin {array}{cc} 10 & -9 \\ 6 & -5 \end {array}\right ]\) |
|
|
|
Eigenvectors |
N/A |
✓ |
N/A |
0.112 |
|
\(\left [\begin {array}{cc} 6 & -4 \\ 3 & -1 \end {array}\right ]\) |
|
|
|
Eigenvectors |
N/A |
✓ |
N/A |
0.116 |
|
\(\left [\begin {array}{cc} 10 & -8 \\ 6 & -4 \end {array}\right ]\) |
|
|
|
Eigenvectors |
N/A |
✓ |
N/A |
0.109 |
|
\(\left [\begin {array}{cc} 7 & -6 \\ 12 & -10 \end {array}\right ]\) |
|
|
|
Eigenvectors |
N/A |
✓ |
N/A |
0.119 |
|
\(\left [\begin {array}{cc} 8 & -10 \\ 2 & -1 \end {array}\right ]\) |
|
|
|
Eigenvectors |
N/A |
✓ |
N/A |
0.127 |
|
\(\left [\begin {array}{cc} 9 & -10 \\ 2 & 0 \end {array}\right ]\) |
|
|
|
Eigenvectors |
N/A |
✓ |
N/A |
0.138 |
|
\(\left [\begin {array}{cc} 19 & -10 \\ 21 & -10 \end {array}\right ]\) |
|
|
|
Eigenvectors |
N/A |
✓ |
N/A |
0.123 |
|
\(\left [\begin {array}{cc} 13 & -15 \\ 6 & -6 \end {array}\right ]\) |
|
|
|
Eigenvectors |
N/A |
✓ |
N/A |
0.126 |
|
\(\left [\begin {array}{ccc} 2 & 0 & 0 \\ 2 & -2 & -1 \\ -2 & 6 & 3 \end {array}\right ]\) |
|
|
|
Eigenvectors |
N/A |
✓ |
N/A |
0.213 |
|
\(\left [\begin {array}{ccc} 5 & 0 & 0 \\ 4 & -4 & -2 \\ -2 & 12 & 6 \end {array}\right ]\) |
|
|
|
Eigenvectors |
N/A |
✓ |
N/A |
0.207 |
|
\(\left [\begin {array}{ccc} 2 & -2 & 0 \\ 2 & -2 & -1 \\ -2 & 2 & 3 \end {array}\right ]\) |
|
|
|
Eigenvectors |
N/A |
✓ |
N/A |
0.197 |
|
\(\left [\begin {array}{ccc} 1 & 0 & -1 \\ -2 & 3 & -1 \\ -6 & 6 & 0 \end {array}\right ]\) |
|
|
|
Eigenvectors |
N/A |
✓ |
N/A |
0.189 |
|
\(\left [\begin {array}{ccc} 3 & 5 & -2 \\ 0 & 2 & 0 \\ 0 & 2 & 1 \end {array}\right ]\) |
|
|
|
Eigenvectors |
N/A |
✓ |
N/A |
0.184 |
|
\(\left [\begin {array}{ccc} 1 & 0 & 0 \\ -6 & 8 & 2 \\ 12 & -15 & -3 \end {array}\right ]\) |
|
|
|
Eigenvectors |
N/A |
✓ |
N/A |
0.216 |
|
\(\left [\begin {array}{ccc} 3 & 6 & -2 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end {array}\right ]\) |
|
|
|
Eigenvectors |
N/A |
✓ |
N/A |
0.135 |
|
\(\left [\begin {array}{ccc} 1 & 0 & 0 \\ -4 & 7 & 2 \\ 10 & -15 & -4 \end {array}\right ]\) |
|
|
|
Eigenvectors |
N/A |
✓ |
N/A |
0.168 |
|
\(\left [\begin {array}{ccc} 4 & -3 & 1 \\ 2 & -1 & 1 \\ 0 & 0 & 2 \end {array}\right ]\) |
|
|
|
Eigenvectors |
N/A |
✓ |
N/A |
0.157 |
|
\(\left [\begin {array}{ccc} 5 & -6 & 3 \\ 6 & -7 & 3 \\ 6 & -6 & 2 \end {array}\right ]\) |
|
|
|
Eigenvectors |
N/A |
✓ |
N/A |
0.153 |
|
\(\left [\begin {array}{cccc} 1 & 2 & 2 & 2 \\ 0 & 2 & 2 & 2 \\ 0 & 0 & 3 & 2 \\ 0 & 0 & 0 & 4 \end {array}\right ]\) |
|
|
|
Eigenvectors |
N/A |
✓ |
N/A |
0.249 |
|
\(\left [\begin {array}{cccc} 1 & 0 & 4 & 0 \\ 0 & 1 & 4 & 0 \\ 0 & 0 & 3 & 0 \\ 0 & 0 & 0 & 3 \end {array}\right ]\) |
|
|
|
Eigenvectors |
N/A |
✓ |
N/A |
0.162 |
|
\(\left [\begin {array}{cccc} 1 & 0 & 1 & 0 \\ 0 & 1 & 1 & 0 \\ 0 & 0 & 2 & 0 \\ 0 & 0 & 0 & 2 \end {array}\right ]\) |
|
|
|
Eigenvectors |
N/A |
✓ |
N/A |
0.151 |
|
\(\left [\begin {array}{cccc} 4 & 0 & 0 & -3 \\ 0 & 2 & 0 & 0 \\ 0 & 0 & -1 & 0 \\ 6 & 0 & 0 & -5 \end {array}\right ]\) |
|
|
|
Eigenvectors |
N/A |
✓ |
N/A |
0.244 |
|
\(\left [\begin {array}{cc} 0 & 1 \\ -1 & 0 \end {array}\right ]\) |
|
|
|
Eigenvectors |
N/A |
✓ |
N/A |
0.157 |
|
\(\left [\begin {array}{cc} 0 & -6 \\ 6 & 0 \end {array}\right ]\) |
|
|
|
Eigenvectors |
N/A |
✓ |
N/A |
0.147 |
|
\(\left [\begin {array}{cc} 0 & -3 \\ 12 & 0 \end {array}\right ]\) |
|
|
|
Eigenvectors |
N/A |
✓ |
N/A |
0.153 |
|
\(\left [\begin {array}{cc} 0 & -12 \\ 12 & 0 \end {array}\right ]\) |
|
|
|
Eigenvectors |
N/A |
✓ |
N/A |
0.149 |
|
\(\left [\begin {array}{cc} 0 & 24 \\ -6 & 0 \end {array}\right ]\) |
|
|
|
Eigenvectors |
N/A |
✓ |
N/A |
0.163 |
|
\(\left [\begin {array}{cc} 0 & -4 \\ 36 & 0 \end {array}\right ]\) |
|
|
|
Eigenvectors |
N/A |
✓ |
N/A |
0.155 |
|
\(\left [\begin {array}{ccc} 32 & -67 & 47 \\ 7 & -14 & 13 \\ -7 & 15 & -6 \end {array}\right ]\) |
|
|
|
Eigenvectors |
N/A |
✓ |
N/A |
0.22 |
|
\(\left [\begin {array}{cccc} 22 & -9 & -8 & -8 \\ 10 & -7 & -14 & 2 \\ 10 & 0 & 8 & -10 \\ 29 & -9 & -3 & -15 \end {array}\right ]\) |
|
|
|
Eigenvectors |
N/A |
✓ |
N/A |
0.358 |
|
\(\left [\begin {array}{cc} 5 & -4 \\ 2 & -1 \end {array}\right ]\) |
|
|
|
Eigenvectors |
N/A |
✓ |
N/A |
0.111 |
|
\(\left [\begin {array}{cc} 6 & -6 \\ 4 & -4 \end {array}\right ]\) |
|
|
|
Eigenvectors |
N/A |
✓ |
N/A |
0.115 |
|
\(\left [\begin {array}{cc} 5 & -3 \\ 2 & 0 \end {array}\right ]\) |
|
|
|
Eigenvectors |
N/A |
✓ |
N/A |
0.114 |
|
\(\left [\begin {array}{cc} 5 & -4 \\ 3 & -2 \end {array}\right ]\) |
|
|
|
Eigenvectors |
N/A |
✓ |
N/A |
0.113 |
|
\(\left [\begin {array}{cc} 9 & -8 \\ 6 & -5 \end {array}\right ]\) |
|
|
|
Eigenvectors |
N/A |
✓ |
N/A |
0.115 |
|
\(\left [\begin {array}{cc} 10 & -6 \\ 12 & -7 \end {array}\right ]\) |
|
|
|
Eigenvectors |
N/A |
✓ |
N/A |
0.122 |
|
\(\left [\begin {array}{cc} 6 & -10 \\ 2 & -3 \end {array}\right ]\) |
|
|
|
Eigenvectors |
N/A |
✓ |
N/A |
0.126 |
|
\(\left [\begin {array}{cc} 11 & -15 \\ 6 & -8 \end {array}\right ]\) |
|
|
|
Eigenvectors |
N/A |
✓ |
N/A |
0.127 |
|
\(\left [\begin {array}{cc} -1 & 4 \\ -1 & 3 \end {array}\right ]\) |
|
|
|
Eigenvectors |
N/A |
✓ |
N/A |
0.075 |
|
\(\left [\begin {array}{cc} 3 & -1 \\ 1 & 1 \end {array}\right ]\) |
|
|
|
Eigenvectors |
N/A |
✓ |
N/A |
0.068 |
|
\(\left [\begin {array}{cc} 5 & 1 \\ -9 & -1 \end {array}\right ]\) |
|
|
|
Eigenvectors |
N/A |
✓ |
N/A |
0.077 |
|
\(\left [\begin {array}{cc} 11 & 9 \\ -16 & -13 \end {array}\right ]\) |
|
|
|
Eigenvectors |
N/A |
✓ |
N/A |
0.083 |
|
\(\left [\begin {array}{ccc} 1 & 3 & 0 \\ 0 & 2 & 0 \\ 0 & 0 & 2 \end {array}\right ]\) |
|
|
|
Eigenvectors |
N/A |
✓ |
N/A |
0.129 |
|
\(\left [\begin {array}{ccc} 2 & -2 & 1 \\ 2 & -2 & 1 \\ 2 & -2 & 1 \end {array}\right ]\) |
|
|
|
Eigenvectors |
N/A |
✓ |
N/A |
0.154 |
|
\(\left [\begin {array}{ccc} 3 & -3 & 1 \\ 2 & -2 & 1 \\ 0 & 0 & 1 \end {array}\right ]\) |
|
|
|
Eigenvectors |
N/A |
✓ |
N/A |
0.148 |
|
\(\left [\begin {array}{ccc} 3 & -2 & 0 \\ 0 & 1 & 0 \\ -4 & 4 & 1 \end {array}\right ]\) |
|
|
|
Eigenvectors |
N/A |
✓ |
N/A |
0.139 |
|
\(\left [\begin {array}{ccc} 7 & -8 & 3 \\ 6 & -7 & 3 \\ 2 & -2 & 2 \end {array}\right ]\) |
|
|
|
Eigenvectors |
N/A |
✓ |
N/A |
0.196 |
|
\(\left [\begin {array}{ccc} 6 & -5 & 2 \\ 4 & -3 & 2 \\ 2 & -2 & 3 \end {array}\right ]\) |
|
|
|
Eigenvectors |
N/A |
✓ |
N/A |
0.217 |
|
\(\left [\begin {array}{ccc} 1 & 1 & -1 \\ -2 & 4 & -1 \\ -4 & 4 & 1 \end {array}\right ]\) |
|
|
|
Eigenvectors |
N/A |
✓ |
N/A |
0.19 |
|
\(\left [\begin {array}{ccc} 2 & 0 & 0 \\ -6 & 11 & 2 \\ 6 & -15 & 0 \end {array}\right ]\) |
|
|
|
Eigenvectors |
N/A |
✓ |
N/A |
0.209 |
|
\(\left [\begin {array}{ccc} 0 & 1 & 0 \\ -1 & 2 & 0 \\ -1 & 1 & 1 \end {array}\right ]\) |
|
|
|
Eigenvectors |
N/A |
✓ |
N/A |
0.087 |
|
\(\left [\begin {array}{ccc} 2 & -2 & 1 \\ -1 & 2 & 0 \\ -5 & 7 & -1 \end {array}\right ]\) |
|
|
|
Eigenvectors |
N/A |
✓ |
N/A |
0.085 |
|
\(\left [\begin {array}{ccc} -2 & 4 & -1 \\ -3 & 5 & -1 \\ -1 & 1 & 1 \end {array}\right ]\) |
|
|
|
Eigenvectors |
N/A |
✓ |
N/A |
0.131 |
|
\(\left [\begin {array}{ccc} 3 & -2 & 1 \\ 1 & 0 & 1 \\ -1 & 1 & 2 \end {array}\right ]\) |
|
|
|
Eigenvectors |
N/A |
✓ |
N/A |
0.131 |
|
\(\left [\begin {array}{cccc} 1 & 0 & -2 & 0 \\ 0 & 1 & -2 & 0 \\ 0 & 0 & -1 & 0 \\ 0 & 0 & 0 & -1 \end {array}\right ]\) |
|
|
|
Eigenvectors |
N/A |
✓ |
N/A |
0.145 |
|
\(\left [\begin {array}{cccc} 1 & 0 & 0 & 1 \\ 0 & 1 & 0 & 1 \\ 0 & 0 & 1 & 1 \\ 0 & 0 & 0 & 2 \end {array}\right ]\) |
|
|
|
Eigenvectors |
N/A |
✓ |
N/A |
0.141 |
|
\(\left [\begin {array}{cccc} 1 & 1 & 0 & 0 \\ 0 & 1 & 1 & 1 \\ 0 & 0 & 1 & 1 \\ 0 & 0 & 0 & 2 \end {array}\right ]\) |
|
|
|
Eigenvectors |
N/A |
✓ |
N/A |
0.129 |
|
\(\left [\begin {array}{cccc} 1 & 1 & 0 & 1 \\ 0 & 1 & 1 & 1 \\ 0 & 0 & 2 & 1 \\ 0 & 0 & 0 & 2 \end {array}\right ]\) |
|
|
|
Eigenvectors |
N/A |
✓ |
N/A |
0.126 |
|
\(\left [\begin {array}{ccccc} 2 & 1 & 0 & 0 & 0 \\ 0 & 2 & 0 & 0 & 0 \\ 0 & 0 & 2 & 0 & 0 \\ 0 & 0 & 0 & 2 & 1 \\ 0 & 0 & 0 & 0 & 2 \end {array}\right ]\) |
|
|
|
Eigenvectors |
N/A |
✓ |
N/A |
0.093 |
|
|
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