| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 7301 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+y&=x^{3}-1+2 \cos \left (x \right )+\left (2-4 x \right ) {\mathrm e}^{x} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.657 |
|
| 7302 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 6 y-5 y^{\prime }+y^{\prime \prime }&=2 \,{\mathrm e}^{x}+6 x -5 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.657 |
|
| 7303 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }-y&=\sinh \left (x \right ) \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.657 |
|
| 7304 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+y&=2 \sin \left (x \right )+4 \cos \left (x \right ) x \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.657 |
|
| 7305 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y+2 y^{\prime }+y^{\prime \prime }&=4 \,{\mathrm e}^{x}+\left (1-x \right ) \left ({\mathrm e}^{2 x}-1\right ) \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.658 |
|
| 7306 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }-2 y^{\prime }&=9 x \,{\mathrm e}^{-x}-6 x^{2}+4 \,{\mathrm e}^{2 x} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.658 |
|
| 7307 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y y^{\prime }+y^{\prime \prime }&=0\\ y \left (0\right )&=5\\ y^{\prime }\left (0\right )&=0\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.658 |
|
| 7308 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y y^{\prime }+y^{\prime \prime }&=0\\ y \left (0\right )&=2\\ y^{\prime }\left (0\right )&=-2\\ \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
0.658 |
|
| 7309 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y y^{\prime }+y^{\prime \prime }&=0\\ y \left (0\right )&=1\\ y^{\prime }\left (0\right )&=-1\\ \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
0.658 |
|
| 7310 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y y^{\prime }+y^{\prime \prime }&=0\\ y \left (0\right )&=0\\ y^{\prime }\left (0\right )&=2\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.658 |
|
| 7311 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+2 y^{\prime } x&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.658 |
|
| 7312 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 2 y y^{\prime \prime }&={y^{\prime }}^{2} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.658 |
|
| 7313 |
\(\left [\begin {array}{ccc} 2 & 0 & 0 \\ 2 & -2 & -1 \\ -2 & 6 & 3 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
0.658 |
|
| 7314 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} {y^{\prime \prime }}^{2}&=k^{2} \left (1+{y^{\prime }}^{2}\right ) \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.658 |
|
| 7315 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} k&=\frac {y^{\prime \prime }}{\left (1+y^{\prime }\right )^{{3}/{2}}} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.658 |
|
| 7316 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} y^{\prime \prime }+3 y^{\prime } x -3 y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.658 |
|
| 7317 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} y^{\prime \prime }+y^{\prime } x -4 y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.658 |
|
| 7318 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} y^{\prime \prime }+7 y^{\prime } x +9 y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.658 |
|
| 7319 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} y^{\prime \prime }-y^{\prime } x +6 y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.658 |
|
| 7320 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} y^{\prime \prime }+y^{\prime } x -16 y&=8 x^{4} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.658 |
|
| 7321 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} y^{\prime \prime }+y^{\prime } x -y&=x -\frac {1}{x} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.658 |
|
| 7322 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} y^{\prime \prime }-5 y^{\prime } x +9 y&=2 x^{3} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.658 |
|
| 7323 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} y^{\prime \prime }-3 y^{\prime } x +4 y&=6 x^{2} \ln \left (x \right ) \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.658 |
|
| 7324 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} y^{\prime \prime }+y&=3 x^{2} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.659 |
|
| 7325 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} y^{\prime \prime }+y^{\prime } x +y&=2 x \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.659 |
|
| 7326 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (-x +2\right ) x^{2} y^{\prime \prime }+2 y^{\prime } x -2 y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
0.659 |
|
| 7327 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 2 y-2 y^{\prime } x +\left (x^{2}+1\right ) y^{\prime \prime }&=0 \end {array} \]
|
✗ |
✗ |
✗ |
✗ |
0.659 |
|
| 7328 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime } x -2 \left (x +1\right ) y^{\prime }+\left (2+x \right ) y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.659 |
|
| 7329 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 3 y^{\prime \prime } x -2 \left (3 x -1\right ) y^{\prime }+\left (3 x -2\right ) y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.659 |
|
| 7330 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} y^{\prime \prime }+\left (x +1\right ) y^{\prime }-y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.659 |
|
| 7331 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x \left (x +1\right ) y^{\prime \prime }-\left (-1+x \right ) y^{\prime }+y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.659 |
|
| 7332 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} y^{\prime }-y x&=\frac {1}{x} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.660 |
|
| 7333 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x \ln \left (y\right ) y^{\prime }-y \ln \left (x \right )&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.660 |
|
| 7334 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime \prime }+2 y^{\prime \prime }+2 y^{\prime }&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.660 |
|
| 7335 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} r^{\prime \prime }-6 r^{\prime }+9 r&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.660 |
|
| 7336 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 2 x -y \sin \left (2 x \right )&=\left (\sin \left (x \right )^{2}-2 y\right ) y^{\prime } \end {array} \]
|
✗ |
✗ |
✓ |
✗ |
0.660 |
|
| 7337 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+2 y^{\prime }+2 y&=10 \,{\mathrm e}^{x}+6 \cos \left (x \right ) {\mathrm e}^{-x} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.660 |
|
| 7338 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 3 x^{3} y^{2} y^{\prime }-x^{2} y^{3}&=1 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.660 |
|
| 7339 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} y^{\prime \prime }-y^{\prime } x +y&=x \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.660 |
|
| 7340 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }-2 y-y^{2} {\mathrm e}^{3 x}&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.660 |
|
| 7341 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} u \left (1-v \right )+v^{2} \left (1-u\right ) u^{\prime }&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.661 |
|
| 7342 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y+2 x -y^{\prime } x&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.661 |
|
| 7343 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime } x +y^{\prime }&=4 x \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.661 |
|
| 7344 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 5 y+4 y^{\prime }+y^{\prime \prime }&=26 \,{\mathrm e}^{3 x} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.661 |
|
| 7345 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 5 y+4 y^{\prime }+y^{\prime \prime }&=2 \,{\mathrm e}^{-2 x} \cos \left (x \right ) \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.661 |
|
| 7346 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }-4 y^{\prime }+4 y&=6 \,{\mathrm e}^{2 x} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.661 |
|
| 7347 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 6 y-5 y^{\prime }+y^{\prime \prime }&={\mathrm e}^{2 x} \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
0.661 |
|
| 7348 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (2 x +y\right ) y^{\prime }-x +2 y&=0 \end {array} \]
|
✗ |
✗ |
✓ |
✗ |
0.661 |
|
| 7349 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (x \cos \left (y\right )-{\mathrm e}^{-\sin \left (y\right )}\right ) y^{\prime }+1&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.661 |
|
| 7350 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \sin \left (x \right )^{2} y^{\prime }+\sin \left (x \right )^{2}+\left (x +y\right ) \sin \left (2 x \right )&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.661 |
|
| 7351 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }-2 y^{\prime }+5 y&=5 x +4 \,{\mathrm e}^{x} \left (1+\sin \left (2 x \right )\right ) \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
0.661 |
|
| 7352 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }+y x&=\frac {x}{y} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.661 |
|
| 7353 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime \prime \prime }-2 y^{\prime \prime \prime }+13 y^{\prime \prime }-18 y^{\prime }+36 y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.661 |
|
| 7354 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \sin \left (\theta \right ) \cos \left (\theta \right ) r^{\prime }-\sin \left (\theta \right )^{2}&=r \cos \left (\theta \right )^{2} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.661 |
|
| 7355 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x \left (y y^{\prime \prime }+{y^{\prime }}^{2}\right )&=y y^{\prime } \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
0.661 |
|
| 7356 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 3 x^{2} y+x^{3} y^{\prime }&=0\\ y \left (1\right )&=2\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.662 |
|
| 7357 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} -y+y^{\prime } x&=x^{2}\\ y \left (2\right )&=6\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.662 |
|
| 7358 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+y^{\prime }-6 y&=6\\ y \left (0\right )&=1\\ y^{\prime }\left (0\right )&=4\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.662 |
|
| 7359 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y y^{\prime \prime }+{y^{\prime }}^{2}+4&=0\\ y \left (1\right )&=3\\ y^{\prime }\left (1\right )&=0\\ \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
0.662 |
|
| 7360 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime } x&=y x +y \end {array} \]
Series expansion around \(x=0\). |
✗ |
✗ |
✗ |
✗ |
0.662 |
|
| 7361 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime } x&=y x +y \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.663 |
|
| 7362 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=3 x^{2} y \end {array} \]
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.663 |
|
| 7363 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=3 x^{2} y \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
0.663 |
|
| 7364 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime } x&=y \end {array} \]
Series expansion around \(x=0\). |
✗ |
✗ |
✗ |
✗ |
0.663 |
|
| 7365 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime } x&=y \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.663 |
|
| 7366 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }&=-4 y \end {array} \]
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.663 |
|
| 7367 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }&=-4 y \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.663 |
|
| 7368 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }&=y \end {array} \]
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.663 |
|
| 7369 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }&=y \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.663 |
|
| 7370 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y-2 y^{\prime }+y^{\prime \prime }&=0 \end {array} \]
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.663 |
|
| 7371 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y-2 y^{\prime }+y^{\prime \prime }&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.663 |
|
| 7372 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} y^{\prime \prime }-3 y^{\prime } x +3 y&=0 \end {array} \]
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.663 |
|
| 7373 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} y^{\prime \prime }-3 y^{\prime } x +3 y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.663 |
|
| 7374 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (x^{2}+2 x \right ) y^{\prime \prime }-2 \left (x +1\right ) y^{\prime }+2 y&=0 \end {array} \]
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.663 |
|
| 7375 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (x^{2}+2 x \right ) y^{\prime \prime }-2 \left (x +1\right ) y^{\prime }+2 y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.664 |
|
| 7376 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 2 y-2 y^{\prime } x +\left (x^{2}+1\right ) y^{\prime \prime }&=0 \end {array} \]
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.664 |
|
| 7377 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 2 y-2 y^{\prime } x +\left (x^{2}+1\right ) y^{\prime \prime }&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.664 |
|
| 7378 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }-4 y^{\prime } x +\left (4 x^{2}-2\right ) y&=0 \end {array} \]
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.664 |
|
| 7379 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }-4 y^{\prime } x +\left (4 x^{2}-2\right ) y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.664 |
|
| 7380 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }-\sin \left (x +y\right )&=0 \end {array} \]
|
✗ |
✗ |
✓ |
✗ |
0.664 |
|
| 7381 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=4 y^{2}-3 y+1 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.664 |
|
| 7382 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} s^{\prime }&=t \ln \left (s^{2 t}\right )+8 t^{2} \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
0.664 |
|
| 7383 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=\frac {y \,{\mathrm e}^{x +y}}{x^{2}+2} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.664 |
|
| 7384 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (x y^{2}+3 y^{2}\right ) y^{\prime }-2 x&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.664 |
|
| 7385 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} s^{2}+s^{\prime }&=\frac {s+1}{s t} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.664 |
|
| 7386 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime } x&=\frac {1}{y^{3}} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.664 |
|
| 7387 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime }&=3 t^{2} x \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
0.664 |
|
| 7388 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime }&=\frac {t \,{\mathrm e}^{-t -2 x}}{x} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.664 |
|
| 7389 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=\frac {x}{y^{2} \sqrt {x +1}} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.665 |
|
| 7390 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x v^{\prime }&=\frac {1-4 v^{2}}{3 v} \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
0.665 |
|
| 7391 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=\frac {\sec \left (y\right )^{2}}{x^{2}+1} \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
0.665 |
|
| 7392 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=3 x^{2} \left (1+y^{2}\right )^{{3}/{2}} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.665 |
|
| 7393 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime }-x^{3}&=x \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.665 |
|
| 7394 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x +x y^{2}+{\mathrm e}^{x^{2}} y y^{\prime }&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.665 |
|
| 7395 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {y^{\prime }}{y}+y \,{\mathrm e}^{\cos \left (x \right )} \sin \left (x \right )&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.665 |
|
| 7396 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=\left (1+y^{2}\right ) \tan \left (x \right )\\ y \left (0\right )&=\sqrt {3}\\ \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
0.665 |
|
| 7397 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=x^{3} \left (1-y\right )\\ y \left (0\right )&=3\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.665 |
|
| 7398 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {y^{\prime }}{2}&=\sqrt {1+y}\, \cos \left (x \right )\\ y \left (\pi \right )&=0\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.665 |
|
| 7399 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} y^{\prime }&=\frac {4 x^{2}-x -2}{\left (x +1\right ) \left (1+y\right )}\\ y \left (1\right )&=1\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.666 |
|
| 7400 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {y^{\prime }}{\theta }&=\frac {y \sin \left (\theta \right )}{y^{2}+1}\\ y \left (\pi \right )&=1\\ \end {array} \]
|
✗ |
✗ |
✓ |
✗ |
0.666 |
|