| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 2801 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=x \left (t \right )-4 y \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=4 x \left (t \right )-7 y \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.265 |
|
| 2802 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=-7 x \left (t \right )+y \left (t \right )-6 z \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=10 x \left (t \right )-4 y \left (t \right )+12 z \left (t \right )\\ \frac {d}{d t}z \left (t \right )&=2 x \left (t \right )-y \left (t \right )+z \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.265 |
|
| 2803 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=3 x \left (t \right )+2 y \left (t \right )+4 z \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=2 x \left (t \right )+2 z \left (t \right )\\ \frac {d}{d t}z \left (t \right )&=4 x \left (t \right )+2 y \left (t \right )+3 z \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.265 |
|
| 2804 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=2 y \left (t \right )+z \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=-x \left (t \right )-3 y \left (t \right )-z \left (t \right )\\ \frac {d}{d t}z \left (t \right )&=x \left (t \right )+y \left (t \right )-z \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
0.265 |
|
| 2805 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=-2 x \left (t \right )+y \left (t \right )+z \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=-3 x \left (t \right )+2 y \left (t \right )+3 z \left (t \right )\\ \frac {d}{d t}z \left (t \right )&=x \left (t \right )-y \left (t \right )-2 z \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
0.265 |
|
| 2806 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=2 y \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=-2 x \left (t \right )\\ \frac {d}{d t}z \left (t \right )&=2 h \left (t \right )\\ \frac {d}{d t}h \left (t \right )&=-2 z \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.265 |
|
| 2807 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=2 y \left (t \right )+z \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=-2 x \left (t \right )+h \left (t \right )\\ \frac {d}{d t}z \left (t \right )&=2 h \left (t \right )\\ \frac {d}{d t}h \left (t \right )&=-2 z \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.265 |
|
| 2808 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime }&=x \left (1-x\right ) \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.265 |
|
| 2809 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime }&=-x \left (1-x\right ) \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
0.265 |
|
| 2810 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime }&=x^{2} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.265 |
|
| 2811 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x_{1} \left (t \right )&=x_{2} \left (t \right )\\ \frac {d}{d t}x_{2} \left (t \right )&=-\frac {\left (x_{1} \left (t \right )^{2}+\sqrt {x_{1} \left (t \right )^{2}+4 x_{2} \left (t \right )^{2}}\right ) x_{1} \left (t \right )}{2}\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.265 |
|
| 2812 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x_{1} \left (t \right )&=-x_{1} \left (t \right )-x_{2} \left (t \right )+1\\ \frac {d}{d t}x_{2} \left (t \right )&=2 x_{1} \left (t \right )-x_{2} \left (t \right )+5\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.265 |
|
| 2813 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=x \left (t \right )-x \left (t \right )^{3}-x \left (t \right ) y \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=2 y \left (t \right )-y \left (t \right )^{5}-y \left (t \right ) x \left (t \right )^{4}\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.265 |
|
| 2814 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime }&=x^{2}+y \left (t \right )^{2}+1\\ y^{\prime }\left (t \right )&=x^{2}-y \left (t \right )^{2}\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.266 |
|
| 2815 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime }\left (t \right )&=x \left (t \right )^{2}+y^{2}-1\\ y^{\prime }&=2 x \left (t \right ) y\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.266 |
|
| 2816 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=6 x \left (t \right )-6 x \left (t \right )^{2}-2 x \left (t \right ) y \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=4 y \left (t \right )-4 y \left (t \right )^{2}-2 x \left (t \right ) y \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
0.266 |
|
| 2817 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=\tan \left (x \left (t \right )+y \left (t \right )\right )\\ \frac {d}{d t}y \left (t \right )&=x \left (t \right )+x \left (t \right )^{3}\\ \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
0.266 |
|
| 2818 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&={\mathrm e}^{y \left (t \right )}-x \left (t \right )\\ \frac {d}{d t}y \left (t \right )&={\mathrm e}^{x \left (t \right )}+y \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
0.266 |
|
| 2819 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} z^{\prime \prime }+z^{3}&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.266 |
|
| 2820 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} z^{\prime \prime }+z+z^{5}&=0 \end {array} \]
|
✗ |
✗ |
✓ |
✗ |
0.266 |
|
| 2821 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} z^{\prime \prime }+{\mathrm e}^{z^{2}}&=1 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.266 |
|
| 2822 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} z^{\prime \prime }+\frac {z}{1+z^{2}}&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.267 |
|
| 2823 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} z^{\prime \prime }+z-2 z^{3}&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.267 |
|
| 2824 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}\textit {x\_1} \left (t \right )&=-5 \textit {x\_1} \left (t \right )+\textit {x\_2} \left (t \right )\\ \frac {d}{d t}\textit {x\_2} \left (t \right )&=\textit {x\_1} \left (t \right )-5 \textit {x\_2} \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.267 |
|
| 2825 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x_{1} \left (t \right )&=-x_{2} \left (t \right )\\ \frac {d}{d t}x_{2} \left (t \right )&=8 x_{1} \left (t \right )-6 x_{2} \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.267 |
|
| 2826 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x_{1} \left (t \right )&=4 x_{1} \left (t \right )-x_{2} \left (t \right )\\ \frac {d}{d t}x_{2} \left (t \right )&=-2 x_{1} \left (t \right )+5 x_{2} \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
0.267 |
|
| 2827 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x_{1} \left (t \right )&=-4 x_{1} \left (t \right )-x_{2} \left (t \right )\\ \frac {d}{d t}x_{2} \left (t \right )&=x_{1} \left (t \right )-6 x_{2} \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.267 |
|
| 2828 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x_{1} \left (t \right )&=x_{1} \left (t \right )-4 x_{2} \left (t \right )\\ \frac {d}{d t}x_{2} \left (t \right )&=-8 x_{1} \left (t \right )+4 x_{2} \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
0.267 |
|
| 2829 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x_{1} \left (t \right )&=3 x_{1} \left (t \right )-x_{2} \left (t \right )\\ \frac {d}{d t}x_{2} \left (t \right )&=5 x_{1} \left (t \right )-3 x_{2} \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.267 |
|
| 2830 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x_{1} \left (t \right )&=2 x_{2} \left (t \right )\\ \frac {d}{d t}x_{2} \left (t \right )&=-2 x_{1} \left (t \right )-x_{2} \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.267 |
|
| 2831 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x_{1}^{\prime }\left (t \right )&=x_{1} \left (t \right )-x_{2} \left (t \right )\\ x_{2}^{\prime }\left (t \right )&=5 x_{1} \left (t \right )-3 x_{2} \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.267 |
|
| 2832 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x_{1} \left (t \right )&=2 x_{1} \left (t \right )+x_{2} \left (t \right )\\ \frac {d}{d t}x_{2} \left (t \right )&=-5 x_{1} \left (t \right )-2 x_{2} \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.267 |
|
| 2833 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x_{1}^{\prime }\left (t \right )&=4 x_{2} \left (t \right )\\ x_{2}^{\prime }\left (t \right )&=-9 x_{1} \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.267 |
|
| 2834 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+\lambda y&=0\\ y \left (0\right )&=0\\ y^{\prime }\left (L \right )&=0\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.267 |
|
| 2835 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+\lambda y&=0\\ y^{\prime }\left (0\right )&=0\\ y^{\prime }\left (L \right )&=0\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.267 |
|
| 2836 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }-\lambda y&=0\\ y^{\prime }\left (0\right )&=0\\ y^{\prime }\left (L \right )&=0\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.268 |
|
| 2837 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+\lambda y&=0\\ y^{\prime }\left (0\right )&=0\\ y \left (L \right )&=0\\ \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
0.268 |
|
| 2838 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }-2 y^{\prime }+\left (1+\lambda \right ) y&=0\\ y \left (0\right )&=0\\ y \left (1\right )&=0\\ \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
0.268 |
|
| 2839 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+\lambda y&=0\\ y \left (0\right )&=0\\ y \left (1\right )&=0\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.268 |
|
| 2840 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (x^{2}+1\right ) y^{\prime }+y x&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.268 |
|
| 2841 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x y^{2}+x +\left (y-x^{2} y\right ) y^{\prime }&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.268 |
|
| 2842 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 1+y^{2}+\left (x^{2}+1\right ) y^{\prime }&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.268 |
|
| 2843 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime } x +y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.268 |
|
| 2844 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=2 y x \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
0.268 |
|
| 2845 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x y^{2}+x +\left (x^{2} y-y\right ) y^{\prime }&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
0.269 |
|
| 2846 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \sqrt {-x^{2}+1}+\sqrt {1-y^{2}}\, y^{\prime }&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
0.269 |
|
| 2847 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (x +1\right ) y^{\prime }-1+y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.269 |
|
| 2848 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \tan \left (x \right ) y^{\prime }-y&=1 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.269 |
|
| 2849 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y+3+\cot \left (x \right ) y^{\prime }&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.269 |
|
| 2850 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=\frac {x}{y} \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
0.269 |
|
| 2851 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime }&=1-\sin \left (2 t \right ) \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.269 |
|
| 2852 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime } x +y&=y^{2} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.269 |
|
| 2853 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \sin \left (x \right ) \cos \left (y\right )^{2}+\cos \left (x \right )^{2} y^{\prime }&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
0.269 |
|
| 2854 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \sec \left (x \right ) \cos \left (y\right )^{2}&=\cos \left (x \right ) \sin \left (y\right ) y^{\prime } \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.269 |
|
| 2855 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime } x +y&=x y \left (y^{\prime }-1\right ) \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.269 |
|
| 2856 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y x +\sqrt {x^{2}+1}\, y^{\prime }&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.269 |
|
| 2857 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y&=y x +x^{2} y^{\prime } \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.269 |
|
| 2858 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \tan \left (x \right ) \sin \left (x \right )^{2}+\cos \left (x \right )^{2} \cot \left (y\right ) y^{\prime }&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.269 |
|
| 2859 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{2}+y y^{\prime }+x^{2} y y^{\prime }-1&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.270 |
|
| 2860 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=\frac {y}{x}\\ y \left (1\right )&=3\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.270 |
|
| 2861 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime } x +2 y&=0\\ y \left (2\right )&=1\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.270 |
|
| 2862 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \cos \left (y\right ) \sin \left (x \right )+\cos \left (x \right ) \sin \left (y\right ) y^{\prime }&=0\\ y \left (0\right )&=0\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.270 |
|
| 2863 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} y^{\prime }+y^{2}&=0\\ y \left (3\right )&=1\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.270 |
|
| 2864 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&={\mathrm e}^{y}\\ y \left (0\right )&=0\\ \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
0.270 |
|
| 2865 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} {\mathrm e}^{y} \left (1+y^{\prime }\right )&=1\\ y \left (0\right )&=1\\ \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
0.270 |
|
| 2866 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 1+y^{2}&=\frac {y^{\prime }}{x^{3} \left (-1+x \right )}\\ y \left (2\right )&=0\\ \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
0.270 |
|
| 2867 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (x^{2}+3 x \right ) y^{\prime }&=y^{3}+2 y\\ y \left (1\right )&=1\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.270 |
|
| 2868 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (x^{2}+x +1\right ) y^{\prime }&=y^{2}+2 y+5\\ y \left (1\right )&=1\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.270 |
|
| 2869 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (x^{2}-2 x -8\right ) y^{\prime }&=y^{2}+y-2\\ y \left (0\right )&=0\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.271 |
|
| 2870 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x +y&=y^{\prime } x \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.271 |
|
| 2871 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (x +y\right ) y^{\prime }+x&=y \end {array} \]
|
✗ |
✗ |
✗ |
✗ |
0.271 |
|
| 2872 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} -y+y^{\prime } x&=\sqrt {y x} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.271 |
|
| 2873 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=\frac {2 x -y}{x +4 y} \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
0.271 |
|
| 2874 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} -y+y^{\prime } x&=\sqrt {x^{2}-y^{2}} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.271 |
|
| 2875 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x +y y^{\prime }&=2 y \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.271 |
|
| 2876 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime } x -y+\sqrt {y^{2}-x^{2}}&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.271 |
|
| 2877 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2}+y^{2}&=y y^{\prime } x \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.271 |
|
| 2878 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (y x -x^{2}\right ) y^{\prime }-y^{2}&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.271 |
|
| 2879 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime } x +y&=2 \sqrt {y x} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.271 |
|
| 2880 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x +y+\left (x -y\right ) y^{\prime }&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.272 |
|
| 2881 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y \left (x^{2}-y x +y^{2}\right )+x y^{\prime } \left (x^{2}+y x +y^{2}\right )&=0 \end {array} \]
|
✗ |
✗ |
✗ |
✗ |
0.272 |
|
| 2882 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime } x -y-x \sin \left (\frac {y}{x}\right )&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
0.272 |
|
| 2883 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=\frac {y}{x}+\cosh \left (\frac {y}{x}\right ) \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
0.272 |
|
| 2884 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2}+y^{2}&=2 y y^{\prime } x\\ y \left (-1\right )&=0\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.272 |
|
| 2885 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (\frac {x}{y}+\frac {y}{x}\right ) y^{\prime }+1&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
0.272 |
|
| 2886 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} {\mathrm e}^{\frac {y}{x}} x +y&=y^{\prime } x\\ y \left (1\right )&=0\\ \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
0.272 |
|
| 2887 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=\frac {x +y}{x -y}\\ y \left (1\right )&=0\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.272 |
|
| 2888 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=\frac {y}{x}+\tan \left (\frac {y}{x}\right )\\ y \left (6\right )&=\pi \\ \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
0.272 |
|
| 2889 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (3 y x -2 x^{2}\right ) y^{\prime }&=2 y^{2}-y x\\ y \left (1\right )&=-1\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.272 |
|
| 2890 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=\frac {y}{x -k \sqrt {x^{2}+y^{2}}} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.273 |
|
| 2891 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{2} \left (y y^{\prime }-x \right )+x^{3}&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.273 |
|
| 2892 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=\frac {y}{x}+\tanh \left (\frac {y}{x}\right ) \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.273 |
|
| 2893 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x +y-\left (x -y+2\right ) y^{\prime }&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.273 |
|
| 2894 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x +\left (x -2 y+2\right ) y^{\prime }&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
0.273 |
|
| 2895 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 2 x -y+1+\left (x +y\right ) y^{\prime }&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.273 |
|
| 2896 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x -y+2+\left (x +y-1\right ) y^{\prime }&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.273 |
|
| 2897 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x -y+\left (y-x +1\right ) y^{\prime }&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
0.273 |
|
| 2898 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=\frac {x +y-1}{x -y-1} \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
0.273 |
|
| 2899 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x +y+\left (2 x +2 y-1\right ) y^{\prime }&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
0.273 |
|
| 2900 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x -y+1+\left (x -y-1\right ) y^{\prime }&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.273 |
|