| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 101 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=2 y x +1 \end {array} \]
|
✗ |
✗ |
✓ |
✗ |
0.029 |
|
| 102 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 2 y^{\prime } x&=y+2 \cos \left (x \right ) x\\ y \left (1\right )&=0\\ \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.029 |
|
| 103 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }+p \left (x \right ) y&=0 \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.029 |
|
| 104 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }+p \left (x \right ) y&=q \left (x \right ) \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.030 |
|
| 105 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (x +y\right ) y^{\prime }&=x -y \end {array} \]
|
✗ |
✗ |
✗ |
✗ |
0.030 |
|
| 106 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 2 y y^{\prime } x&=x^{2}+2 y^{2} \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
0.030 |
|
| 107 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime } x&=y+2 \sqrt {y x} \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.030 |
|
| 108 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (x -y\right ) y^{\prime }&=x +y \end {array} \]
|
✗ |
✗ |
✗ |
✗ |
0.030 |
|
| 109 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x \left (x +y\right ) y^{\prime }&=y \left (x -y\right ) \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
0.030 |
|
| 110 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (x +2 y\right ) y^{\prime }&=y \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
0.030 |
|
| 111 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{2} y^{\prime } x&=x^{3}+y^{3} \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
0.030 |
|
| 112 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} y^{\prime }&=y x +x^{2} {\mathrm e}^{\frac {y}{x}} \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
0.030 |
|
| 113 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} y^{\prime }&=y x +y^{2} \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
0.030 |
|
| 114 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y y^{\prime } x&=x^{2}+3 y^{2} \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.030 |
|
| 115 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (x^{2}-y^{2}\right ) y^{\prime }&=2 y x \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.030 |
|
| 116 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y y^{\prime } x&=y^{2}+x \sqrt {4 x^{2}+y^{2}} \end {array} \]
|
✗ |
✗ |
✗ |
✗ |
0.030 |
|
| 117 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime } x&=y+\sqrt {x^{2}+y^{2}} \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.030 |
|
| 118 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x +y y^{\prime }&=\sqrt {x^{2}+y^{2}} \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
0.030 |
|
| 119 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x \left (x +y\right ) y^{\prime }+y \left (3 x +y\right )&=0 \end {array} \]
|
✗ |
✗ |
✗ |
✗ |
0.031 |
|
| 120 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=\sqrt {x +y+1} \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
0.031 |
|
| 121 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=\left (4 x +y\right )^{2} \end {array} \]
|
✗ |
✗ |
✗ |
✗ |
0.031 |
|
| 122 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (x +y\right ) y^{\prime }&=1 \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
0.031 |
|
| 123 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} y^{\prime }+2 y x&=5 y^{3} \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.031 |
|
| 124 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{2} y^{\prime }+2 x y^{3}&=6 x \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.031 |
|
| 125 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=y+y^{3} \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.031 |
|
| 126 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} y^{\prime }+2 y x&=5 y^{4} \end {array} \]
|
✗ |
✗ |
✗ |
✗ |
0.031 |
|
| 127 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime } x +6 y&=3 x y^{{4}/{3}} \end {array} \]
|
✗ |
✗ |
✗ |
✗ |
0.031 |
|
| 128 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 2 y^{\prime } x +y^{3} {\mathrm e}^{-2 x}&=2 y x \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.031 |
|
| 129 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{2} \left (y^{\prime } x +y\right ) \sqrt {x^{4}+1}&=x \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.031 |
|
| 130 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 3 y^{2} y^{\prime }+y^{3}&={\mathrm e}^{-x} \end {array} \]
|
✗ |
✗ |
✗ |
✗ |
0.031 |
|
| 131 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 3 y^{2} y^{\prime } x&=3 x^{4}+y^{3} \end {array} \]
|
✗ |
✓ |
✗ |
✗ |
0.031 |
|
| 132 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x \,{\mathrm e}^{y} y^{\prime }&=2 \,{\mathrm e}^{y}+2 x^{3} {\mathrm e}^{2 x} \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.031 |
|
| 133 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 2 x \sin \left (y\right ) \cos \left (y\right ) y^{\prime }&=4 x^{2}+\sin \left (y\right )^{2} \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.031 |
|
| 134 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left ({\mathrm e}^{y}+x \right ) y^{\prime }&=x \,{\mathrm e}^{-y}-1 \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.031 |
|
| 135 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 2 x +3 y+\left (3 x +2 y\right ) y^{\prime }&=0 \end {array} \]
|
✗ |
✗ |
✓ |
✗ |
0.031 |
|
| 136 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 4 x -y+\left (6 y-x \right ) y^{\prime }&=0 \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
0.031 |
|
| 137 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 3 x^{2}+2 y^{2}+\left (4 y x +6 y^{2}\right ) y^{\prime }&=0 \end {array} \]
|
✗ |
✗ |
✓ |
✗ |
0.032 |
|
| 138 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 2 x y^{2}+3 x^{2}+\left (2 x^{2} y+4 y^{3}\right ) y^{\prime }&=0 \end {array} \]
|
✗ |
✗ |
✗ |
✗ |
0.032 |
|
| 139 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{3}+\frac {y}{x}+\left (y^{2}+\ln \left (x \right )\right ) y^{\prime }&=0 \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
0.032 |
|
| 140 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 1+y \,{\mathrm e}^{y x}+\left (2 y+x \,{\mathrm e}^{y x}\right ) y^{\prime }&=0 \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.032 |
|
| 141 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \cos \left (x \right )+\ln \left (y\right )+\left (\frac {x}{y}+{\mathrm e}^{y}\right ) y^{\prime }&=0 \end {array} \]
|
✗ |
✗ |
✗ |
✗ |
0.032 |
|
| 142 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x +\arctan \left (y\right )+\frac {\left (x +y\right ) y^{\prime }}{1+y^{2}}&=0 \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
0.032 |
|
| 143 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 3 x^{2} y^{3}+y^{4}+\left (3 x^{3} y^{2}+y^{4}+4 x y^{3}\right ) y^{\prime }&=0 \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
0.032 |
|
| 144 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} {\mathrm e}^{x} \sin \left (y\right )+\tan \left (y\right )+\left ({\mathrm e}^{x} \cos \left (y\right )+x \sec \left (y\right )^{2}\right ) y^{\prime }&=0 \end {array} \]
|
✗ |
✓ |
✗ |
✗ |
0.032 |
|
| 145 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {2 x}{y}-\frac {3 y^{2}}{x^{4}}+\left (\frac {2 y}{x^{3}}-\frac {x^{2}}{y^{2}}+\frac {1}{\sqrt {y}}\right ) y^{\prime }&=0 \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.032 |
|
| 146 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {2 x^{{5}/{2}}-3 y^{{5}/{3}}}{2 x^{{5}/{2}} y^{{2}/{3}}}+\frac {\left (3 y^{{5}/{3}}-2 x^{{5}/{2}}\right ) y^{\prime }}{3 x^{{3}/{2}} y^{{5}/{3}}}&=0 \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.032 |
|
| 147 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime } x&=y^{\prime } \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.032 |
|
| 148 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y y^{\prime \prime }+{y^{\prime }}^{2}&=0 \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.032 |
|
| 149 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 4 y+y^{\prime \prime }&=0 \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
0.033 |
|
| 150 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime } x +y^{\prime }&=4 x \end {array} \]
|
✗ |
✗ |
✗ |
✗ |
0.033 |
|
| 151 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }&={y^{\prime }}^{2} \end {array} \]
|
✗ |
✗ |
✗ |
✗ |
0.033 |
|
| 152 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} y^{\prime \prime }+3 y^{\prime } x&=2 \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.033 |
|
| 153 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y y^{\prime \prime }+{y^{\prime }}^{2}&=y y^{\prime } \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
0.033 |
|
| 154 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }&=\left (x +y^{\prime }\right )^{2} \end {array} \]
|
✗ |
✗ |
✗ |
✗ |
0.033 |
|
| 155 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }&=2 y {y^{\prime }}^{3} \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
0.033 |
|
| 156 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{3} y^{\prime \prime }&=1 \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
0.033 |
|
| 157 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }&=2 y y^{\prime } \end {array} \]
|
✗ |
✗ |
✗ |
✗ |
0.033 |
|
| 158 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y y^{\prime \prime }&=3 {y^{\prime }}^{2} \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
0.033 |
|
| 159 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=f \left (a x +b y+c \right ) \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.033 |
|
| 160 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }+p \left (x \right ) y&=q \left (x \right ) y^{n} \end {array} \]
|
✗ |
✓ |
✗ |
✗ |
0.033 |
|
| 161 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }+p \left (x \right ) y&=q \left (x \right ) \ln \left (y\right ) y \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.033 |
|
| 162 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime } x -4 x^{2} y+2 \ln \left (y\right ) y&=0 \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
0.033 |
|
| 163 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=\frac {x -y-1}{x +y+3} \end {array} \]
|
✗ |
✓ |
✗ |
✗ |
0.033 |
|
| 164 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=\frac {2 y-x +7}{4 x -3 y-18} \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.033 |
|
| 165 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=\sin \left (x -y\right ) \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
0.033 |
|
| 166 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=-\frac {y \left (2 x^{3}-y^{3}\right )}{x \left (2 y^{3}-x^{3}\right )} \end {array} \]
|
✗ |
✓ |
✗ |
✓ |
0.033 |
|
| 167 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }+y^{2}&=x^{2}+1 \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.033 |
|
| 168 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }+2 y x&=1+x^{2}+y^{2} \end {array} \]
|
✗ |
✗ |
✗ |
✗ |
0.033 |
|
| 169 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y&=y^{\prime } x -\frac {{y^{\prime }}^{2}}{4} \end {array} \]
|
✗ |
✗ |
✗ |
✗ |
0.033 |
|
| 170 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} r y^{\prime \prime }&=\left (1+{y^{\prime }}^{2}\right )^{{3}/{2}} \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
0.033 |
|
| 171 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime }&=x-x^{2}\\ x \left (0\right )&=2\\ \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
0.033 |
|
| 172 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime }&=10 x-x^{2}\\ x \left (0\right )&=1\\ \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
0.033 |
|
| 173 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime }&=1-x^{2}\\ x \left (0\right )&=3\\ \end {array} \]
|
✗ |
✓ |
✗ |
✗ |
0.034 |
|
| 174 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime }&=9-4 x^{2}\\ x \left (0\right )&=0\\ \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
0.034 |
|
| 175 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime }&=3 x \left (5-x\right )\\ x \left (0\right )&=8\\ \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.034 |
|
| 176 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime }&=3 x \left (5-x\right )\\ x \left (0\right )&=2\\ \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
0.034 |
|
| 177 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime }&=4 x \left (7-x\right )\\ x \left (0\right )&=11\\ \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.034 |
|
| 178 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime }&=7 x \left (x-13\right )\\ x \left (0\right )&=17\\ \end {array} \]
|
✗ |
✗ |
✗ |
✗ |
0.034 |
|
| 179 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{3}+3 y-y^{\prime } x&=0 \end {array} \]
|
✗ |
✗ |
✗ |
✗ |
0.034 |
|
| 180 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x y^{2}+3 y^{2}-x^{2} y^{\prime }&=0 \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.034 |
|
| 181 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y x +y^{2}-x^{2} y^{\prime }&=0 \end {array} \]
|
✗ |
✗ |
✗ |
✗ |
0.035 |
|
| 182 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 2 x y^{3}+{\mathrm e}^{x}+\left (3 y^{2} x^{2}+\sin \left (y\right )\right ) y^{\prime }&=0 \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
0.035 |
|
| 183 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 3 y+x^{4} y^{\prime }&=2 y x \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
0.035 |
|
| 184 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 2 x y^{2}+x^{2} y^{\prime }&=y^{2} \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
0.035 |
|
| 185 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 2 x^{2} y+x^{3} y^{\prime }&=1 \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
0.035 |
|
| 186 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} y^{\prime }+2 y x&=y^{2} \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
0.035 |
|
| 187 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime } x +2 y&=6 \sqrt {y}\, x^{2} \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
0.035 |
|
| 188 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=1+x^{2}+y^{2}+y^{2} x^{2} \end {array} \]
|
✗ |
✗ |
✗ |
✗ |
0.035 |
|
| 189 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} y^{\prime }&=y x +3 y^{2} \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
0.035 |
|
| 190 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 6 x y^{3}+2 y^{4}+\left (9 y^{2} x^{2}+8 x y^{3}\right ) y^{\prime }&=0 \end {array} \]
|
✗ |
✗ |
✗ |
✗ |
0.035 |
|
| 191 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 4 x y^{2}+y^{\prime }&=5 y^{2} x^{4} \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.035 |
|
| 192 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{3} y^{\prime }&=x^{2} y-y^{3} \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
0.035 |
|
| 193 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }+3 y&=3 x^{2} {\mathrm e}^{-3 x} \end {array} \]
|
✗ |
✗ |
✗ |
✗ |
0.036 |
|
| 194 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=x^{2}-2 y x +y^{2} \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.036 |
|
| 195 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} {\mathrm e}^{x}+y \,{\mathrm e}^{y x}+\left ({\mathrm e}^{y}+x \,{\mathrm e}^{y x}\right ) y^{\prime }&=0 \end {array} \]
|
✗ |
✓ |
✗ |
✗ |
0.036 |
|
| 196 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 2 x^{2} y-x^{3} y^{\prime }&=y^{3} \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.036 |
|
| 197 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 3 x^{5} y^{2}+x^{3} y^{\prime }&=2 y^{2} \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
0.036 |
|
| 198 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime } x +3 y&=\frac {3}{x^{{3}/{2}}} \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
0.036 |
|
| 199 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (x^{2}-1\right ) y^{\prime }+\left (-1+x \right ) y&=1 \end {array} \]
|
✗ |
✓ |
✗ |
✗ |
0.036 |
|
| 200 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime } x&=6 y+12 x^{4} y^{{2}/{3}} \end {array} \]
|
✗ |
✓ |
✗ |
✗ |
0.036 |
|