| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 15901 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=-3 y+4 \cos \left (2 t \right ) \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
3.102 |
|
| 15902 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=2 y+\sin \left (2 t \right ) \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.103 |
|
| 15903 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=3 y-4 \,{\mathrm e}^{3 t} \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
3.103 |
|
| 15904 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=\frac {y}{2}+4 \,{\mathrm e}^{\frac {t}{2}} \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
3.104 |
|
| 15905 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }+2 y&={\mathrm e}^{\frac {t}{3}}\\ y \left (0\right )&=1\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.104 |
|
| 15906 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} -2 y+y^{\prime }&=3 \,{\mathrm e}^{-2 t}\\ y \left (0\right )&=10\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.105 |
|
| 15907 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y+y^{\prime }&=\cos \left (2 t \right )\\ y \left (0\right )&=5\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.106 |
|
| 15908 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 3 y+y^{\prime }&=\cos \left (2 t \right )\\ y \left (0\right )&=-1\\ \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
3.106 |
|
| 15909 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} -2 y+y^{\prime }&=7 \,{\mathrm e}^{2 t}\\ y \left (0\right )&=3\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.106 |
|
| 15910 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }+2 y&=3 t^{2}+2 t -1 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.107 |
|
| 15911 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }+2 y&=t^{2}+2 t +1+{\mathrm e}^{4 t} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.107 |
|
| 15912 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y+y^{\prime }&=t^{3}+\sin \left (3 t \right ) \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
3.107 |
|
| 15913 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }-3 y&=2 t -{\mathrm e}^{4 t} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.108 |
|
| 15914 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y+y^{\prime }&=\cos \left (2 t \right )+3 \sin \left (2 t \right )+{\mathrm e}^{-t} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.108 |
|
| 15915 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=-\frac {y}{t}+2 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.110 |
|
| 15916 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=\frac {3 y}{t}+t^{5} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.111 |
|
| 15917 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=-\frac {y}{1+t}+t^{2} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.111 |
|
| 15918 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=-2 t y+4 \,{\mathrm e}^{-t^{2}} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.112 |
|
| 15919 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }-\frac {2 t y}{t^{2}+1}&=3 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.112 |
|
| 15920 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }-\frac {2 y}{t}&=t^{3} {\mathrm e}^{t} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.113 |
|
| 15921 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=-\frac {y}{1+t}+2\\ y \left (0\right )&=3\\ \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
3.114 |
|
| 15922 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=\frac {y}{1+t}+4 t^{2}+4 t\\ y \left (1\right )&=10\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.115 |
|
| 15923 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=-\frac {y}{t}+2\\ y \left (1\right )&=3\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.115 |
|
| 15924 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=-2 t y+4 \,{\mathrm e}^{-t^{2}}\\ y \left (0\right )&=3\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.115 |
|
| 15925 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }-\frac {2 y}{t}&=2 t^{2}\\ y \left (-2\right )&=4\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.116 |
|
| 15926 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }-\frac {3 y}{t}&=2 t^{3} {\mathrm e}^{2 t}\\ y \left (1\right )&=0\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.117 |
|
| 15927 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=\sin \left (t \right ) y+4 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.117 |
|
| 15928 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=t^{2} y+4 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.117 |
|
| 15929 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=\frac {y}{t^{2}}+4 \cos \left (t \right ) \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.118 |
|
| 15930 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=y+4 \cos \left (t^{2}\right ) \end {array} \]
|
✗ |
✗ |
✗ |
✗ |
3.119 |
|
| 15931 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=-{\mathrm e}^{-t^{2}} y+\cos \left (t \right ) \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.120 |
|
| 15932 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=\frac {y}{\sqrt {t^{3}-3}}+t \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.121 |
|
| 15933 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=a t y+4 \,{\mathrm e}^{-t^{2}} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.121 |
|
| 15934 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=t^{r} y+4 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.122 |
|
| 15935 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} v^{\prime }+\frac {2 v}{5}&=3 \cos \left (2 t \right ) \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.123 |
|
| 15936 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=-2 t y+4 \,{\mathrm e}^{-t^{2}} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.123 |
|
| 15937 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }+2 y&=3 \,{\mathrm e}^{-2 t} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.124 |
|
| 15938 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=3 y \end {array} \]
|
✓ |
✓ |
✗ |
✓ |
3.124 |
|
| 15939 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=t^{2} \left (t^{2}+1\right ) \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.125 |
|
| 15940 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=-\sin \left (y\right )^{5} \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
3.125 |
|
| 15941 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=\frac {\left (t^{2}-4\right ) \left (1+y\right ) {\mathrm e}^{y}}{\left (t -1\right ) \left (3-y\right )} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.125 |
|
| 15942 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=\sin \left (y\right )^{2} \end {array} \]
|
✓ |
✓ |
✗ |
✗ |
3.127 |
|
| 15943 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=\left (y-3\right ) \left (\sin \left (y\right ) \sin \left (t \right )+\cos \left (t \right )+1\right )\\ y \left (0\right )&=4\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.127 |
|
| 15944 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=y+{\mathrm e}^{-t} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.128 |
|
| 15945 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=3-2 y \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.128 |
|
| 15946 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=t y \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.128 |
|
| 15947 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=3 y+{\mathrm e}^{7 t} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.129 |
|
| 15948 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=\frac {t y}{t^{2}+1} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.129 |
|
| 15949 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=-5 y+\sin \left (3 t \right ) \end {array} \]
|
✓ |
✗ |
✗ |
✗ |
3.129 |
|
| 15950 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=t +\frac {2 y}{1+t} \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
3.129 |
|
| 15951 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=3+y^{2} \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
3.130 |
|
| 15952 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=2 y-y^{2} \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
3.130 |
|
| 15953 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=-3 y+{\mathrm e}^{-2 t}+t^{2} \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
3.130 |
|
| 15954 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime }&=-t x\\ x \left (0\right )&={\mathrm e}\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.130 |
|
| 15955 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=2 y+\cos \left (4 t \right )\\ y \left (0\right )&=1\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.131 |
|
| 15956 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=3 y+2 \,{\mathrm e}^{3 t}\\ y \left (0\right )&=-1\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.131 |
|
| 15957 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=t^{2} y^{3}+y^{3}\\ y \left (0\right )&=-{\frac {1}{2}}\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.132 |
|
| 15958 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }+5 y&=3 \,{\mathrm e}^{-5 t}\\ y \left (0\right )&=-2\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.132 |
|
| 15959 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=2 t y+3 t \,{\mathrm e}^{t^{2}}\\ y \left (0\right )&=1\\ \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
3.133 |
|
| 15960 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=\frac {\left (1+t \right )^{2}}{\left (1+y\right )^{2}}\\ y \left (0\right )&=0\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.134 |
|
| 15961 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=2 t y^{2}+3 t^{2} y^{2}\\ y \left (1\right )&=-1\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.135 |
|
| 15962 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=1-y^{2}\\ y \left (0\right )&=1\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.135 |
|
| 15963 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=\frac {t^{2}}{y+t^{3} y}\\ y \left (0\right )&=-2\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.135 |
|
| 15964 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=y^{2}-2 y+1\\ y \left (0\right )&=2\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.136 |
|
| 15965 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=\left (y-2\right ) \left (y+1-\cos \left (t \right )\right ) \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.137 |
|
| 15966 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=\left (y-1\right ) \left (y-2\right ) \left (y-{\mathrm e}^{\frac {t}{2}}\right ) \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.139 |
|
| 15967 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=t^{2} y+1+y+t^{2} \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
3.139 |
|
| 15968 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=\frac {2 y+1}{t} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.139 |
|
| 15969 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=3-y^{2}\\ y \left (0\right )&=0\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.139 |
|
| 15970 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=x \left (t \right )-y \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=x \left (t \right )-y \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.140 |
|
| 15971 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=2 x \left (t \right )-y \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=0\\ \end {array} \]
|
✗ |
✗ |
✗ |
✗ |
3.140 |
|
| 15972 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=x \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=2 x \left (t \right )+y \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.140 |
|
| 15973 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=2 y \left (t \right )-x \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=2 x \left (t \right )-y \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.142 |
|
| 15974 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=2 x \left (t \right )+y \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=x \left (t \right )+y \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
3.142 |
|
| 15975 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=3 y \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=3 \pi y \left (t \right )-\frac {x \left (t \right )}{3}\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.143 |
|
| 15976 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}p \left (t \right )&=3 p \left (t \right )-2 q \left (t \right )-7 r \left (t \right )\\ \frac {d}{d t}q \left (t \right )&=-2 p \left (t \right )+6 r \left (t \right )\\ \frac {d}{d t}r \left (t \right )&=\frac {73 q \left (t \right )}{100}+2 r \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
3.144 |
|
| 15977 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=-3 x \left (t \right )+2 \pi y \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=4 x \left (t \right )-y \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.145 |
|
| 15978 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=\beta y \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=\gamma x \left (t \right )-y \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.145 |
|
| 15979 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=2 y \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=x \left (t \right )+y \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.145 |
|
| 15980 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime }\left (t \right )&=x \left (t \right )-y\\ y^{\prime }&=x \left (t \right )+3 y\\ \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
3.145 |
|
| 15981 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime }\left (t \right )&=-2 x \left (t \right )-y\\ y^{\prime }&=2 x \left (t \right )-5 y\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.146 |
|
| 15982 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=-2 x \left (t \right )-3 y \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=3 x \left (t \right )-2 y \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.147 |
|
| 15983 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=2 x \left (t \right )+3 y \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=x \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
3.148 |
|
| 15984 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=1\\ \frac {d}{d t}y \left (t \right )&=x \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.148 |
|
| 15985 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime }&=3 x\\ y^{\prime }&=-2 y\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.148 |
|
| 15986 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=-4 x \left (t \right )-2 y \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=-x \left (t \right )-3 y \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
3.149 |
|
| 15987 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=-5 x \left (t \right )-2 y \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=-x \left (t \right )-4 y \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.149 |
|
| 15988 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=2 x \left (t \right )+y \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=-x \left (t \right )+4 y \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.150 |
|
| 15989 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=-\frac {x \left (t \right )}{2}\\ \frac {d}{d t}y \left (t \right )&=x \left (t \right )-\frac {y \left (t \right )}{2}\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.150 |
|
| 15990 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=5 x \left (t \right )+4 y \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=9 x \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.151 |
|
| 15991 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=3 x \left (t \right )+4 y \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=x \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.151 |
|
| 15992 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=2 x \left (t \right )-y \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=-x \left (t \right )+y \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.151 |
|
| 15993 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=2 x \left (t \right )+y \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=x \left (t \right )+y \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.151 |
|
| 15994 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=-x \left (t \right )-2 y \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=x \left (t \right )-4 y \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.151 |
|
| 15995 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=-2 x \left (t \right )-2 y \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=-2 x \left (t \right )+y \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.152 |
|
| 15996 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime }\left (t \right )&=-2 x \left (t \right )-2 y\\ y^{\prime }&=-2 x \left (t \right )+y\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.152 |
|
| 15997 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime }&=-2 x-2 y\\ y^{\prime }&=-2 x+y\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.152 |
|
| 15998 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=3 x \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=x \left (t \right )-2 y \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.153 |
|
| 15999 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=3 x \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=x \left (t \right )-2 y \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
3.154 |
|
| 16000 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime }&=3 x\\ y^{\prime }\left (t \right )&=x-2 y \left (t \right )\\ \end {array} \]
|
✗ |
✗ |
✗ |
✗ |
3.154 |
|