| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 23501 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }&=3 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
17.777 |
|
| 23502 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} y^{\prime \prime }+4 y^{\prime } x -4 y&=x^{3} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
17.781 |
|
| 23503 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} y^{\prime \prime }-y^{\prime } x -8 y&={\mathrm e}^{x} \left (x^{2}+2\right ) \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
17.791 |
|
| 23504 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 6 y-5 y^{\prime }+y^{\prime \prime }&={\mathrm e}^{x} \sin \left (x \right ) \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
17.792 |
|
| 23505 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }-7 y^{\prime }-8 y&={\mathrm e}^{x} \left (x^{2}+2\right ) \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
17.797 |
|
| 23506 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }-5 y^{\prime }+4 y&={\mathrm e}^{2 x} \cos \left (x \right )+{\mathrm e}^{2 x} \sin \left (x \right ) \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
17.802 |
|
| 23507 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+2 y^{\prime }-3 y&={\mathrm e}^{2 x} \left (x +3\right ) \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
17.803 |
|
| 23508 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+y&=x +2 \,{\mathrm e}^{-x}\\ y \left (0\right )&=1\\ y^{\prime }\left (0\right )&=-2\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
17.807 |
|
| 23509 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }-y&=x \,{\mathrm e}^{x}\\ y \left (0\right )&=0\\ y^{\prime }\left (0\right )&=1\\ \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
17.813 |
|
| 23510 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }-4 y^{\prime }+4 y&={\mathrm e}^{2 x}\\ y \left (0\right )&=0\\ y^{\prime }\left (0\right )&=0\\ \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
17.816 |
|
| 23511 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime \prime }+y^{\prime }&=x\\ y \left (0\right )&=0\\ y^{\prime }\left (0\right )&=1\\ y^{\prime \prime }\left (0\right )&=0\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
17.823 |
|
| 23512 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+3 y^{\prime }+2 y&={\mathrm e}^{x} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
17.827 |
|
| 23513 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 2 y-3 y^{\prime }+y^{\prime \prime }&={\mathrm e}^{x} \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
17.839 |
|
| 23514 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+y&=\frac {1}{x} \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
17.839 |
|
| 23515 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+y&=\cos \left (x \right ) \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
17.843 |
|
| 23516 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }-3 y&=x \ln \left (x \right ) \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
17.848 |
|
| 23517 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 4 y^{\prime \prime }+7 y^{\prime }+3 y&=5 \cos \left (t \right )\\ y \left (0\right )&=-3\\ y^{\prime }\left (0\right )&=5\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
17.849 |
|
| 23518 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} e i u^{\prime \prime \prime \prime }&=\cos \left (x \right ) \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
17.855 |
|
| 23519 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} e i u^{\prime \prime \prime \prime }&={\mathrm e}^{-x} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
17.862 |
|
| 23520 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} e i u^{\prime \prime \prime \prime }&=\sinh \left (x \right ) \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
17.864 |
|
| 23521 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} e i u^{\prime \prime \prime \prime }&=1 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
17.865 |
|
| 23522 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} e i u^{\prime \prime \prime \prime }&=x^{2} \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
17.883 |
|
| 23523 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} e i u^{\prime \prime \prime \prime }&=x^{4} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
17.894 |
|
| 23524 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y-2 y^{\prime }+y^{\prime \prime }&={\mathrm e}^{a x}\\ y \left (0\right )&=y_{0}\\ y^{\prime }\left (0\right )&=y_{1}\\ \end {array} \]
|
✗ |
✗ |
✗ |
✗ |
17.912 |
|
| 23525 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+y&=\sin \left (a x \right )\\ y \left (0\right )&=y_{0}\\ y^{\prime }\left (0\right )&=y_{1}\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
17.917 |
|
| 23526 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+y&=\tan \left (x \right ) \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
17.924 |
|
| 23527 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+y&=\sec \left (x \right ) \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
17.927 |
|
| 23528 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y-2 y^{\prime }+y^{\prime \prime }&=\frac {{\mathrm e}^{x}}{x} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
17.939 |
|
| 23529 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+10 y^{\prime }+25 y&=\frac {{\mathrm e}^{-5 x} \ln \left (x \right )}{x^{2}} \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
17.944 |
|
| 23530 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+6 y^{\prime }+9 y&=\frac {{\mathrm e}^{-3 x}}{x^{3}} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
17.955 |
|
| 23531 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+y&=\cot \left (x \right ) \csc \left (x \right ) \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
17.963 |
|
| 23532 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }-12 y^{\prime }+36 y&={\mathrm e}^{6 x} \ln \left (x \right ) \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
17.966 |
|
| 23533 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 5 y+4 y^{\prime }+y^{\prime \prime }&={\mathrm e}^{-2 x} \sec \left (x \right ) \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
17.966 |
|
| 23534 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+y&=\sec \left (x \right )^{3} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
17.968 |
|
| 23535 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }-4 y^{\prime }+4 y&=\frac {{\mathrm e}^{2 x}}{x^{4}} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
17.977 |
|
| 23536 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y+2 y^{\prime }+y^{\prime \prime }&=\frac {{\mathrm e}^{-x} \ln \left (x \right )}{x^{2}} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
17.979 |
|
| 23537 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y-2 y^{\prime }+y^{\prime \prime }&=\frac {{\mathrm e}^{2 x}}{\left ({\mathrm e}^{x}+1\right )^{2}} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
17.984 |
|
| 23538 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 5 x^{2} y^{\prime \prime }-3 y^{\prime } x +3 y&=\sqrt {x} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
17.988 |
|
| 23539 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} y^{\prime \prime }+4 y^{\prime } x -4 y&=x^{{1}/{4}} \ln \left (x \right ) \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
17.992 |
|
| 23540 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} -3 y+y^{\prime } x +2 x^{2} y^{\prime \prime }&=\frac {1}{x^{3}} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
17.993 |
|
| 23541 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 2 x^{2} y^{\prime \prime }+7 y^{\prime } x -3 y&=\frac {\ln \left (x \right )}{x^{2}} \end {array} \]
|
✓ |
✗ |
✗ |
✗ |
18.012 |
|
| 23542 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} y^{\prime \prime }+5 y^{\prime } x +4 y&=\ln \left (x \right ) \left (\frac {1}{x^{3}}+\frac {1}{x^{5}}\right ) \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
18.023 |
|
| 23543 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+y&=\csc \left (x \right )\\ y \left (\frac {\pi }{2}\right )&=0\\ y^{\prime }\left (\frac {\pi }{2}\right )&=1\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
18.031 |
|
| 23544 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+y&=\tan \left (x \right )\\ y \left (0\right )&=1\\ y^{\prime }\left (0\right )&=0\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
18.063 |
|
| 23545 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y-2 y^{\prime }+y^{\prime \prime }&=\frac {{\mathrm e}^{x}}{x}\\ y \left (1\right )&={\mathrm e}\\ y^{\prime }\left (1\right )&=0\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
18.066 |
|
| 23546 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+6 y^{\prime }+9 y&=\frac {{\mathrm e}^{-3 x}}{x^{3}}\\ y \left (1\right )&=4 \,{\mathrm e}^{-3}\\ y^{\prime }\left (1\right )&=-2 \,{\mathrm e}^{-3}\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
18.084 |
|
| 23547 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+y&=\sec \left (x \right )^{3}\\ y \left (0\right )&=1\\ y^{\prime }\left (0\right )&=1\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
18.091 |
|
| 23548 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }-4 y^{\prime }+4 y&=\frac {{\mathrm e}^{2 x}}{x^{4}}\\ y \left (1\right )&=0\\ y^{\prime }\left (1\right )&={\mathrm e}^{2}\\ \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
18.096 |
|
| 23549 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y-2 y^{\prime }+y^{\prime \prime }&=\frac {{\mathrm e}^{2 x}}{\left ({\mathrm e}^{x}+1\right )^{2}}\\ y \left (0\right )&=3\\ y^{\prime }\left (0\right )&={\frac {5}{2}}\\ \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
18.110 |
|
| 23550 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} -3 y+y^{\prime } x +2 x^{2} y^{\prime \prime }&=\frac {1}{x^{3}}\\ y \left (\frac {1}{4}\right )&=0\\ y^{\prime }\left (\frac {1}{4}\right )&={\frac {14}{9}}\\ \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
18.119 |
|
| 23551 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 2 y-2 y^{\prime } x +\left (x^{2}+1\right ) y^{\prime \prime }&=\left (x^{2}+1\right )^{2}\\ y \left (0\right )&=0\\ y^{\prime }\left (0\right )&=1\\ \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
18.122 |
|
| 23552 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\left (5\right )}-y^{\prime }-\frac {4 y}{x}&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
18.142 |
|
| 23553 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x \left (1-2 x \ln \left (x \right )\right ) y^{\prime \prime }+\left (1+4 x^{2} \ln \left (x \right )\right ) y^{\prime }-\left (2+4 x \right ) y&={\mathrm e}^{2 x} \left (1-2 x \ln \left (x \right )\right )^{2}\\ y \left (\frac {1}{2}\right )&=\frac {{\mathrm e}}{2}\\ y^{\prime }\left (\frac {1}{2}\right )&={\mathrm e} \left (2+\ln \left (2\right )\right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
18.145 |
|
| 23554 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime \prime }+2 x^{\prime }+x&=-\frac {{\mathrm e}^{-t}}{\left (1+t \right )^{2}} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
18.146 |
|
| 23555 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x_{1} \left (t \right )&=2 x_{1} \left (t \right )+x_{2} \left (t \right )\\ \frac {d}{d t}x_{2} \left (t \right )&=-3 x_{1} \left (t \right )+6 x_{2} \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✗ |
✗ |
18.171 |
|
| 23556 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x_{1} \left (t \right )&=-3 x_{1} \left (t \right )+4 x_{2} \left (t \right )\\ \frac {d}{d t}x_{2} \left (t \right )&=-2 x_{1} \left (t \right )+3 x_{2} \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
18.175 |
|
| 23557 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x_{1} \left (t \right )&=2 \sin \left (t \right ) x_{1} \left (t \right )+\ln \left (t \right ) x_{2} \left (t \right )\\ \frac {d}{d t}x_{2} \left (t \right )&=\frac {x_{1} \left (t \right )}{-2+t}+\frac {{\mathrm e}^{t} x_{2} \left (t \right )}{1+t}\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
18.209 |
|
| 23558 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=5 x \left (t \right )-6 y \left (t \right )+1\\ \frac {d}{d t}y \left (t \right )&=6 x \left (t \right )-7 y \left (t \right )+1\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
18.217 |
|
| 23559 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=5 x \left (t \right )-6 y \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=6 x \left (t \right )-7 y \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
18.229 |
|
| 23560 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=-2 x \left (t \right )+y \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=x \left (t \right )-2 y \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
18.237 |
|
| 23561 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=3 x \left (t \right )-2 y \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=2 x \left (t \right )-2 y \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
18.240 |
|
| 23562 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=x \left (t \right )+y \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=x \left (t \right )-y \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
18.245 |
|
| 23563 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=y \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=-x \left (t \right )\\ \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
18.260 |
|
| 23564 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime }\left (t \right )&=-x \left (t \right )+y\\ y^{\prime }&=-x \left (t \right )-y\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
18.270 |
|
| 23565 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=y \left (t \right )-z \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=z \left (t \right )-x \left (t \right )\\ \frac {d}{d t}z \left (t \right )&=x \left (t \right )-y \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
18.270 |
|
| 23566 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x_{1} \left (t \right )&=x_{1} \left (t \right )+\left (1-t \right ) x_{2} \left (t \right )\\ \frac {d}{d t}x_{2} \left (t \right )&=\frac {x_{1} \left (t \right )}{t}-x_{2} \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
18.279 |
|
| 23567 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x_{1} \left (t \right )&=x_{2} \left (t \right )-x_{3} \left (t \right )+x_{4} \left (t \right )\\ \frac {d}{d t}x_{2} \left (t \right )&=-x_{2} \left (t \right )+x_{4} \left (t \right )\\ \frac {d}{d t}x_{3} \left (t \right )&=x_{3} \left (t \right )-x_{4} \left (t \right )\\ \frac {d}{d t}x_{4} \left (t \right )&=2 x_{4} \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
18.281 |
|
| 23568 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x_{1} \left (t \right )&=5 x_{1} \left (t \right )+2 x_{2} \left (t \right )+2 x_{3} \left (t \right )\\ \frac {d}{d t}x_{2} \left (t \right )&=2 x_{1} \left (t \right )+2 x_{2} \left (t \right )-4 x_{3} \left (t \right )\\ \frac {d}{d t}x_{3} \left (t \right )&=2 x_{1} \left (t \right )-4 x_{2} \left (t \right )+2 x_{3} \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
18.287 |
|
| 23569 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x_{1} \left (t \right )&=-10 x_{1} \left (t \right )+x_{2} \left (t \right )+7 x_{3} \left (t \right )\\ \frac {d}{d t}x_{2} \left (t \right )&=-9 x_{1} \left (t \right )+4 x_{2} \left (t \right )+5 x_{3} \left (t \right )\\ \frac {d}{d t}x_{3} \left (t \right )&=-17 x_{1} \left (t \right )+x_{2} \left (t \right )+12 x_{3} \left (t \right )\\ \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
18.287 |
|
| 23570 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x_{1} \left (t \right )&=4 x_{1} \left (t \right )-x_{2} \left (t \right )\\ \frac {d}{d t}x_{2} \left (t \right )&=2 x_{1} \left (t \right )+x_{2} \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
18.296 |
|
| 23571 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x_{1} \left (t \right )&=3 x_{1} \left (t \right )-2 x_{2} \left (t \right )\\ \frac {d}{d t}x_{2} \left (t \right )&=x_{1} \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
18.300 |
|
| 23572 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x_{1} \left (t \right )&=4 x_{1} \left (t \right )-x_{2} \left (t \right )+3 \,{\mathrm e}^{2 t}\\ \frac {d}{d t}x_{2} \left (t \right )&=2 x_{1} \left (t \right )+x_{2} \left (t \right )+2 t\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
18.303 |
|
| 23573 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x_{1} \left (t \right )&=3 x_{1} \left (t \right )-2 x_{2} \left (t \right )+1\\ \frac {d}{d t}x_{2} \left (t \right )&=x_{1} \left (t \right )+t\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
18.309 |
|
| 23574 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=5 x \left (t \right )-6 y \left (t \right )+1\\ \frac {d}{d t}y \left (t \right )&=6 x \left (t \right )-7 y \left (t \right )+1\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
18.310 |
|
| 23575 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} t \left (\frac {d}{d t}x \left (t \right )\right )&=3 x \left (t \right )-2 y \left (t \right )\\ \left (\frac {d}{d t}y \left (t \right )\right ) t&=x \left (t \right )+y \left (t \right )-t^{2}\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
18.311 |
|
| 23576 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime }\left (t \right )&=3 x \left (t \right )-2 y+2 t^{2}\\ y^{\prime }&=5 x \left (t \right )+y-1\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
18.314 |
|
| 23577 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x_{1} \left (t \right )&=x_{1} \left (t \right )+2 x_{2} \left (t \right )\\ \frac {d}{d t}x_{2} \left (t \right )&=4 x_{1} \left (t \right )+x_{2} \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
18.320 |
|
| 23578 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}N_{1} \left (t \right )&=4 N_{1} \left (t \right )-6 N_{2} \left (t \right )\\ \frac {d}{d t}N_{2} \left (t \right )&=8 N_{1} \left (t \right )-10 N_{2} \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
18.326 |
|
| 23579 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x_{1} \left (t \right )&=4 x_{1} \left (t \right )-x_{2} \left (t \right )\\ \frac {d}{d t}x_{2} \left (t \right )&=2 x_{1} \left (t \right )+x_{2} \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
18.342 |
|
| 23580 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x_{1} \left (t \right )&=3 x_{1} \left (t \right )-2 x_{2} \left (t \right )\\ \frac {d}{d t}x_{2} \left (t \right )&=x_{1} \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
18.348 |
|
| 23581 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x_{1} \left (t \right )&=4 x_{1} \left (t \right )-x_{2} \left (t \right )+3 \,{\mathrm e}^{2 t}\\ \frac {d}{d t}x_{2} \left (t \right )&=2 x_{1} \left (t \right )+x_{2} \left (t \right )+2 t\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
18.352 |
|
| 23582 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x_{1} \left (t \right )&=3 x_{1} \left (t \right )-2 x_{2} \left (t \right )+1\\ \frac {d}{d t}x_{2} \left (t \right )&=x_{1} \left (t \right )+t\\ \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
18.352 |
|
| 23583 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=5 x \left (t \right )-6 y \left (t \right )+1\\ \frac {d}{d t}y \left (t \right )&=6 x \left (t \right )-7 y \left (t \right )+1\\ \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
18.355 |
|
| 23584 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} t x^{\prime }\left (t \right )&=3 x \left (t \right )-2 y\\ y^{\prime } t&=x \left (t \right )+y-t^{2}\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
18.362 |
|
| 23585 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=3 x \left (t \right )-2 y \left (t \right )+2 t^{2}\\ \frac {d}{d t}y \left (t \right )&=5 x \left (t \right )+y \left (t \right )-1\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
18.367 |
|
| 23586 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime }\left (t \right )&=x \left (t \right )+2 y \left (t \right )\\ y^{\prime }\left (t \right )&=4 x \left (t \right )-y \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
18.369 |
|
| 23587 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=-x \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=-y \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
18.385 |
|
| 23588 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=-2 x \left (t \right )+y \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=x \left (t \right )-2 y \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
18.387 |
|
| 23589 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=3 x \left (t \right )-2 y \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=2 x \left (t \right )-2 y \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
18.387 |
|
| 23590 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=-x \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=-x \left (t \right )-y \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
18.392 |
|
| 23591 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=-x \left (t \right )+y \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=-x \left (t \right )-y \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
18.394 |
|
| 23592 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=y \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=-x \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
18.398 |
|
| 23593 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=y \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=2 y \left (t \right )-x \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
18.408 |
|
| 23594 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=2 x \left (t \right )-y \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=9 x \left (t \right )+2 y \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
18.413 |
|
| 23595 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime }\left (t \right )&=2 x \left (t \right )+y\\ y^{\prime }&=-3 x \left (t \right )+6 y\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
18.419 |
|
| 23596 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime }\left (t \right )&=y\\ y^{\prime }&=z \left (t \right )\\ z^{\prime }\left (t \right )&=x \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
18.428 |
|
| 23597 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}c_{1} \left (t \right )&=-\frac {k c_{1} \left (t \right )}{V_{1}}+\frac {k c_{2} \left (t \right )}{V_{1}}\\ \frac {d}{d t}c_{2} \left (t \right )&=\frac {k c_{1} \left (t \right )}{V_{2}}-\frac {k c_{2} \left (t \right )}{V_{2}}\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
18.432 |
|
| 23598 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=a \left (b -x \left (t \right )\right )-c f y \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=d \left (x \left (t \right )-y \left (t \right )\right )-c f y \left (t \right )-a y \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
18.433 |
|
| 23599 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=4 x \left (t \right )+2 y \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=-3 x \left (t \right )-y \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
18.436 |
|
| 23600 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=4 x \left (t \right )-2 y \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=x \left (t \right )+y \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
18.440 |
|