| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 1 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=2 x +1\\ y \left (0\right )&=3\\ \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.016 |
|
| 2 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=\left (x -2\right )^{2}\\ y \left (2\right )&=1\\ \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.018 |
|
| 3 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=\sqrt {x}\\ y \left (4\right )&=0\\ \end {array} \]
|
✗ |
✗ |
✗ |
✗ |
0.018 |
|
| 4 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=\frac {1}{x^{2}}\\ y \left (1\right )&=5\\ \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.018 |
|
| 5 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=\frac {1}{\sqrt {2+x}}\\ y \left (2\right )&=-1\\ \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
0.018 |
|
| 6 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=x \sqrt {x^{2}+9}\\ y \left (-4\right )&=0\\ \end {array} \]
|
✗ |
✗ |
✗ |
✗ |
0.018 |
|
| 7 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=\frac {10}{x^{2}+1}\\ y \left (0\right )&=0\\ \end {array} \]
|
✗ |
✓ |
✗ |
✗ |
0.019 |
|
| 8 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=\cos \left (2 x \right )\\ y \left (0\right )&=1\\ \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.019 |
|
| 9 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=\frac {1}{\sqrt {-x^{2}+1}}\\ y \left (0\right )&=0\\ \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.019 |
|
| 10 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=x \,{\mathrm e}^{-x}\\ y \left (0\right )&=1\\ \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
0.019 |
|
| 11 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime \prime }&=50\\ x \left (0\right )&=20\\ x^{\prime }\left (0\right )&=10\\ \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.019 |
|
| 12 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime \prime }&=-20\\ x \left (0\right )&=5\\ x^{\prime }\left (0\right )&=-15\\ \end {array} \]
|
✗ |
✗ |
✗ |
✗ |
0.019 |
|
| 13 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime \prime }&=3 t\\ x \left (0\right )&=0\\ x^{\prime }\left (0\right )&=5\\ \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.020 |
|
| 14 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime \prime }&=2 t +1\\ x \left (0\right )&=4\\ x^{\prime }\left (0\right )&=-7\\ \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.020 |
|
| 15 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime \prime }&=4 \left (t +3\right )^{2}\\ x \left (0\right )&=1\\ x^{\prime }\left (0\right )&=-1\\ \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.020 |
|
| 16 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime \prime }&=\frac {1}{\sqrt {t +4}}\\ x \left (0\right )&=1\\ x^{\prime }\left (0\right )&=-1\\ \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.020 |
|
| 17 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime \prime }&=\frac {1}{\left (1+t \right )^{3}}\\ x \left (0\right )&=0\\ x^{\prime }\left (0\right )&=0\\ \end {array} \]
|
✗ |
✗ |
✗ |
✗ |
0.020 |
|
| 18 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime \prime }&=50 \sin \left (5 t \right )\\ x \left (0\right )&=8\\ x^{\prime }\left (0\right )&=-10\\ \end {array} \]
|
✗ |
✗ |
✗ |
✗ |
0.020 |
|
| 19 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=-y-\sin \left (x \right ) \end {array} \]
|
✗ |
✗ |
✗ |
✗ |
0.020 |
|
| 20 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=x +y \end {array} \]
|
✗ |
✗ |
✗ |
✗ |
0.020 |
|
| 21 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=y-\sin \left (x \right ) \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.021 |
|
| 22 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=x -y \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
0.021 |
|
| 23 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=y-x +1 \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.021 |
|
| 24 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=x -y+1 \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.021 |
|
| 25 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=x^{2}-y \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
0.021 |
|
| 26 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=x^{2}-y-2 \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.021 |
|
| 27 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=2 y^{2} x^{2}\\ y \left (1\right )&=-1\\ \end {array} \]
|
✗ |
✗ |
✗ |
✗ |
0.021 |
|
| 28 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=\ln \left (y\right ) x\\ y \left (1\right )&=1\\ \end {array} \]
|
✗ |
✗ |
✗ |
✗ |
0.021 |
|
| 29 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=y^{{1}/{3}}\\ y \left (0\right )&=1\\ \end {array} \]
|
✗ |
✗ |
✗ |
✗ |
0.021 |
|
| 30 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=y^{{1}/{3}}\\ y \left (0\right )&=0\\ \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
0.021 |
|
| 31 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=\sqrt {x -y}\\ y \left (2\right )&=2\\ \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
0.021 |
|
| 32 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=\sqrt {x -y}\\ y \left (2\right )&=1\\ \end {array} \]
|
✗ |
✗ |
✗ |
✗ |
0.022 |
|
| 33 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y y^{\prime }&=-1+x\\ y \left (0\right )&=1\\ \end {array} \]
|
✗ |
✗ |
✗ |
✗ |
0.022 |
|
| 34 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y y^{\prime }&=-1+x\\ y \left (1\right )&=0\\ \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.022 |
|
| 35 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=\ln \left (1+y^{2}\right )\\ y \left (0\right )&=0\\ \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.023 |
|
| 36 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=x^{2}-y^{2}\\ y \left (0\right )&=1\\ \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
0.023 |
|
| 37 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=x +y\\ y \left (0\right )&=0\\ \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.023 |
|
| 38 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=y-x\\ y \left (4\right )&=0\\ \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.023 |
|
| 39 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=x^{2}+y^{2}-1\\ y \left (0\right )&=0\\ \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.023 |
|
| 40 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=x +\frac {y^{2}}{2}\\ y \left (-2\right )&=0\\ \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
0.023 |
|
| 41 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }+2 y x&=0 \end {array} \]
|
✗ |
✗ |
✗ |
✗ |
0.023 |
|
| 42 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }+2 x y^{2}&=0 \end {array} \]
|
✗ |
✗ |
✗ |
✗ |
0.023 |
|
| 43 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=\sin \left (x \right ) y \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.023 |
|
| 44 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (x +1\right ) y^{\prime }&=4 y \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
0.023 |
|
| 45 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 2 \sqrt {x}\, y^{\prime }&=\sqrt {1-y^{2}} \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.023 |
|
| 46 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=3 \sqrt {y x} \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.023 |
|
| 47 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=64^{{1}/{3}} \left (y x \right )^{{1}/{3}} \end {array} \]
|
✗ |
✗ |
✗ |
✗ |
0.023 |
|
| 48 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=2 x \sec \left (y\right ) \end {array} \]
|
✗ |
✗ |
✗ |
✗ |
0.023 |
|
| 49 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (-x^{2}+1\right ) y^{\prime }&=2 y \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
0.023 |
|
| 50 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (x +1\right )^{2} y^{\prime }&=\left (1+y\right )^{2} \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
0.023 |
|
| 51 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=x y^{3} \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
0.023 |
|
| 52 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y y^{\prime }&=x \left (1+y^{2}\right ) \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.024 |
|
| 53 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{3} y^{\prime }&=\left (1+y^{4}\right ) \cos \left (x \right ) \end {array} \]
|
✗ |
✗ |
✗ |
✗ |
0.024 |
|
| 54 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=\frac {1+\sqrt {x}}{1+\sqrt {y}} \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.024 |
|
| 55 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=\frac {\left (-1+x \right ) y^{5}}{x^{2} \left (2 y^{3}-y\right )} \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.024 |
|
| 56 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (x^{2}+1\right ) \tan \left (y\right ) y^{\prime }&=x \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.024 |
|
| 57 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=1+x +y+y x \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
0.024 |
|
| 58 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} y^{\prime }&=1-x^{2}+y^{2}-y^{2} x^{2} \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
0.024 |
|
| 59 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&={\mathrm e}^{x} y\\ y \left (0\right )&=2 \,{\mathrm e}\\ \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.024 |
|
| 60 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=3 x^{2} \left (1+y^{2}\right )\\ y \left (0\right )&=1\\ \end {array} \]
|
✗ |
✗ |
✗ |
✗ |
0.024 |
|
| 61 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 2 y y^{\prime }&=\frac {x}{\sqrt {x^{2}-16}}\\ y \left (5\right )&=2\\ \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.025 |
|
| 62 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=4 x^{3} y-y\\ y \left (1\right )&=-3\\ \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
0.025 |
|
| 63 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 1+y^{\prime }&=2 y\\ y \left (1\right )&=1\\ \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.025 |
|
| 64 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \tan \left (x \right ) y^{\prime }&=y\\ y \left (\frac {\pi }{2}\right )&=\frac {\pi }{2}\\ \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.026 |
|
| 65 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} -y+y^{\prime } x&=2 x^{2} y\\ y \left (1\right )&=1\\ \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
0.026 |
|
| 66 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=2 x y^{2}+3 y^{2} x^{2}\\ y \left (1\right )&=-1\\ \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.026 |
|
| 67 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=6 \,{\mathrm e}^{2 x -y}\\ y \left (0\right )&=0\\ \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
0.026 |
|
| 68 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 2 \sqrt {x}\, y^{\prime }&=\cos \left (y\right )^{2}\\ y \left (4\right )&=\frac {\pi }{4}\\ \end {array} \]
|
✗ |
✗ |
✗ |
✗ |
0.026 |
|
| 69 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=y^{2}\\ y \left (a \right )&=b\\ \end {array} \]
|
✗ |
✓ |
✗ |
✗ |
0.026 |
|
| 70 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} {y^{\prime }}^{2}&=4 y\\ y \left (a \right )&=b\\ \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.026 |
|
| 71 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=2 \sqrt {y}\\ y \left (a \right )&=b\\ \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
0.027 |
|
| 72 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=y \sqrt {-1+y^{2}}\\ y \left (a \right )&=b\\ \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
0.027 |
|
| 73 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }+y&=2\\ y \left (0\right )&=0\\ \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
0.027 |
|
| 74 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }-2 y&=3 \,{\mathrm e}^{2 x}\\ y \left (0\right )&=0\\ \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
0.027 |
|
| 75 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }+3 y&=2 x \,{\mathrm e}^{-3 x} \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
0.027 |
|
| 76 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }-2 y x&={\mathrm e}^{x^{2}} \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.027 |
|
| 77 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime } x +2 y&=3 x\\ y \left (1\right )&=5\\ \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
0.027 |
|
| 78 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime } x +5 y&=7 x^{2}\\ y \left (2\right )&=5\\ \end {array} \]
|
✗ |
✗ |
✓ |
✓ |
0.027 |
|
| 79 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 2 y^{\prime } x +y&=10 \sqrt {x} \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
0.027 |
|
| 80 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y+3 y^{\prime } x&=12 x \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.027 |
|
| 81 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} -y+y^{\prime } x&=x\\ y \left (1\right )&=7\\ \end {array} \]
|
✗ |
✓ |
✗ |
✗ |
0.028 |
|
| 82 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 2 y^{\prime } x -3 y&=9 x^{3} \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.028 |
|
| 83 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime } x +y&=3 y x\\ y \left (1\right )&=0\\ \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.028 |
|
| 84 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime } x +3 y&=2 x^{5}\\ y \left (2\right )&=1\\ \end {array} \]
|
✗ |
✗ |
✗ |
✗ |
0.028 |
|
| 85 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }+y&={\mathrm e}^{x}\\ y \left (0\right )&=1\\ \end {array} \]
|
✗ |
✗ |
✗ |
✗ |
0.028 |
|
| 86 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime } x -3 y&=x^{3}\\ y \left (1\right )&=10\\ \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
0.028 |
|
| 87 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }+2 y x&=x\\ y \left (0\right )&=-2\\ \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.028 |
|
| 88 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=\left (1-y\right ) \cos \left (x \right )\\ y \left (\pi \right )&=2\\ \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
0.028 |
|
| 89 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (x +1\right ) y^{\prime }+y&=\cos \left (x \right )\\ y \left (0\right )&=1\\ \end {array} \]
|
✗ |
✗ |
✗ |
✗ |
0.029 |
|
| 90 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime } x&=2 y+\cos \left (x \right ) x^{3} \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
0.029 |
|
| 91 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }+\cot \left (x \right ) y&=\cos \left (x \right ) \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
0.029 |
|
| 92 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=1+x +y+y x\\ y \left (0\right )&=0\\ \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.029 |
|
| 93 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime } x&=3 y+x^{4} \cos \left (x \right )\\ y \left (2 \pi \right )&=0\\ \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.029 |
|
| 94 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=2 y x +3 x^{2} {\mathrm e}^{x^{2}}\\ y \left (0\right )&=5\\ \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
0.029 |
|
| 95 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime } x +\left (2 x -3\right ) y&=4 x^{4} \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.029 |
|
| 96 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (x^{2}+4\right ) y^{\prime }+3 y x&=x\\ y \left (0\right )&=1\\ \end {array} \]
|
✗ |
✗ |
✗ |
✗ |
0.029 |
|
| 97 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (x^{2}+1\right ) y^{\prime }+3 x^{3} y&=6 x \,{\mathrm e}^{-\frac {3 x^{2}}{2}}\\ y \left (0\right )&=1\\ \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
0.029 |
|
| 98 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {1-4 x y^{2}}{x^{\prime }}&=y^{3} \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
0.029 |
|
| 99 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {x+y \,{\mathrm e}^{y}}{x^{\prime }}&=1 \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.029 |
|
| 100 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {1+2 x y}{x^{\prime }}&=y^{2}+1 \end {array} \]
|
✗ |
✓ |
✓ |
✓ |
0.029 |
|