| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 21801 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x +y y^{\prime }&=0\\ y \left (1\right )&=2\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
11.083 |
|
| 21802 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} r^{\prime }&=r \tan \left (t \right )\\ r \left (0\right )&=1\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
11.083 |
|
| 21803 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} {\mathrm e}^{x} \sec \left (y\right )+\left ({\mathrm e}^{x}+1\right ) \sec \left (y\right ) \tan \left (y\right ) y^{\prime }&=0\\ y \left (3\right )&=\frac {\pi }{3}\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
11.086 |
|
| 21804 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (x -y\right ) y^{\prime }&=y-x \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
11.087 |
|
| 21805 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y&=y^{\prime } x -\sqrt {x^{2}+y^{2}} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
11.089 |
|
| 21806 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{3}-y^{3}+y^{2} y^{\prime } x&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
11.089 |
|
| 21807 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }&=\frac {y}{x}-\csc \left (\frac {y}{x}\right )^{2} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
11.100 |
|
| 21808 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 3 x^{2}+2 y x +4 y^{2}+\left (20 x^{2}+6 y x +y^{2}\right ) y^{\prime }&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
11.108 |
|
| 21809 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (x +y\right ) y^{\prime }&=y\\ y \left (0\right )&=1\\ \end {array} \]
|
✗ |
✓ |
✗ |
✗ |
11.109 |
|
| 21810 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2}+2 y x -2 y^{2}+\left (y^{2}+2 y x -2 x^{2}\right ) y^{\prime }&=0\\ y \left (0\right )&=3\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
11.111 |
|
| 21811 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} a x -b y+\left (b x -a y\right ) y^{\prime }&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
11.113 |
|
| 21812 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 2 x^{2}+5 x y^{2}+\left (5 x^{2} y-2 y^{4}\right ) y^{\prime }&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
11.114 |
|
| 21813 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} a \,x^{2}+2 b x y+c y^{2}+\left (b \,x^{2}+2 c x y+y^{2}\right ) y^{\prime }&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
11.129 |
|
| 21814 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \sec \left (x \right )^{2} \tan \left (y\right )+\sec \left (y\right )^{2} \tan \left (x \right ) y^{\prime }&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
11.133 |
|
| 21815 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2}+y \,{\mathrm e}^{2 y}+\left (2 y x +x \right ) {\mathrm e}^{2 y} y^{\prime }&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
11.134 |
|
| 21816 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \sin \left (x \right )+\sin \left (y\right )+\left (x \cos \left (y\right )+\cos \left (y\right )\right ) y^{\prime }&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
11.137 |
|
| 21817 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 4 x -2 y+3+\left (5 y-2 x +7\right ) y^{\prime }&=0\\ y \left (1\right )&=2\\ \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
11.141 |
|
| 21818 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 2 x \sin \left (y\right )+2 x +3 \cos \left (x \right ) y+\left (x^{2} \cos \left (y\right )+3 \sin \left (x \right )\right ) y^{\prime }&=0\\ y \left (\frac {\pi }{2}\right )&=0\\ \end {array} \]
|
✓ |
✓ |
✗ |
✗ |
11.142 |
|
| 21819 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} {\mathrm e}^{2 x} y-3 x \,{\mathrm e}^{2 y}+\left (\frac {{\mathrm e}^{2 x}}{2}-3 x^{2} {\mathrm e}^{2 y}-{\mathrm e}^{y}\right ) y^{\prime }&=0\\ y \left (1\right )&=0\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
11.142 |
|
| 21820 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} -y+y^{\prime } x&=x^{2} y y^{\prime } \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
11.143 |
|
| 21821 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{3} y^{\prime }-x^{2} y&=y x^{5} \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
11.147 |
|
| 21822 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (x^{2}+y^{2}\right ) \left (y^{\prime } x +y\right )&=x y \left (-y+y^{\prime } x \right ) \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
11.148 |
|
| 21823 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 3 y+2 y^{\prime } x +4 x y^{2}+3 x^{2} y y^{\prime }&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
11.151 |
|
| 21824 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} -y+y^{\prime } x&=x^{2} \sqrt {x^{2}-y^{2}} \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
11.151 |
|
| 21825 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime } x +y&=3 x^{2}\\ y \left (2\right )&=1\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
11.155 |
|
| 21826 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} y^{\prime }-y x&=x^{2}-y^{2}\\ y \left (1\right )&=0\\ \end {array} \]
|
✗ |
✗ |
✗ |
✗ |
11.156 |
|
| 21827 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y&=\left (2 x^{2} y^{3}-x \right ) y^{\prime }\\ y \left (1\right )&=1\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
11.158 |
|
| 21828 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }+4 y&=x^{2} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
11.160 |
|
| 21829 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }+\sin \left (x \right ) y&=2 x \,{\mathrm e}^{\cos \left (x \right )} \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
11.161 |
|
| 21830 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y x +x^{2} y^{\prime }&=8 x^{2} \cos \left (x \right )^{2} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
11.164 |
|
| 21831 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 2 y+y^{\prime }&=\sin \left (3 x \right ) \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
11.164 |
|
| 21832 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 1-y^{\prime } x&=\ln \left (y\right ) y^{\prime } \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
11.165 |
|
| 21833 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 2-x -y+\left (x +y+3\right ) y^{\prime }&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
11.166 |
|
| 21834 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 2+3 x -5 y+7 y^{\prime }&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
11.171 |
|
| 21835 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 4 x +3 y+2+\left (5 x +4 y+1\right ) y^{\prime }&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
11.173 |
|
| 21836 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x -y-3+\left (3 x -3 y+1\right ) y^{\prime }&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
11.173 |
|
| 21837 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 2 x -y-1+\left (3 x +2 y-5\right ) y^{\prime }&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
11.176 |
|
| 21838 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x y \left (y^{\prime } x +y\right )&=4 x^{3} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
11.182 |
|
| 21839 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{3} \left (x +y y^{\prime }\right )&=\left (x^{2}+y^{2}\right )^{3} y^{\prime } \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
11.189 |
|
| 21840 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (1+{\mathrm e}^{-\frac {y}{x}}\right ) y^{\prime }+1-\frac {y}{x}&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
11.190 |
|
| 21841 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y y^{\prime }+\tan \left (x \right ) y^{2}&=\cos \left (x \right )^{2} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
11.191 |
|
| 21842 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} -y+y^{\prime } x&=y^{3} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
11.191 |
|
| 21843 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }+3 x^{2} y&=3 x^{2} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
11.195 |
|
| 21844 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 4 x^{2} y^{2} y^{\prime }-3 x y^{3}&=x^{2} y^{3}+2 x^{2} y^{\prime } \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
11.198 |
|
| 21845 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \sin \left (x \right )+\cos \left (y\right )+\cos \left (x \right )-y^{\prime } \sin \left (y\right )&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
11.203 |
|
| 21846 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime } x +y&=y^{2} x^{3} \sin \left (x \right ) \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
11.206 |
|
| 21847 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} R q^{\prime }+\frac {q}{c}&=E\\ q \left (0\right )&=0\\ \end {array} \]
|
✓ |
✓ |
✗ |
✗ |
11.208 |
|
| 21848 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (y^{2} x^{2}-y x -2\right ) x y^{\prime }+y \left (y^{2} x^{2}-1\right )&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
11.209 |
|
| 21849 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 3 x^{2}-2 y x +\left (4 y^{3}-x^{2}\right ) y^{\prime }&=0\\ y \left (2\right )&=1\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
11.214 |
|
| 21850 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 3 x^{2}+2 y x -2 y^{2}+\left (2 x^{2}+6 y x +y^{2}\right ) y^{\prime }&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
11.214 |
|
| 21851 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 2 x -y+1+\left (x -2 y-1\right ) y^{\prime }&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
11.214 |
|
| 21852 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 3 x +3 y-2+\left (2 x +2 y+1\right ) y^{\prime }&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
11.216 |
|
| 21853 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} a x y-b +\left (c x y-d \right ) x y^{\prime }&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
11.219 |
|
| 21854 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} {y^{\prime }}^{2}-3&=0 \end {array} \]
|
✗ |
✓ |
✗ |
✗ |
11.219 |
|
| 21855 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} {y^{\prime }}^{2}-4 y^{\prime }+2&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
11.219 |
|
| 21856 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x y^{2} {y^{\prime }}^{2}+\left (x^{3}+x y^{2}-y^{3}\right ) y^{\prime }+x^{3}-y^{3}&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
11.221 |
|
| 21857 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} {y^{\prime }}^{2}+y^{\prime } x -y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
11.221 |
|
| 21858 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 2 {y^{\prime }}^{3}+3 {y^{\prime }}^{2}&=x +y \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
11.226 |
|
| 21859 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 2 y a \,x^{3}-a \,x^{2} y^{\prime }+c {y^{\prime }}^{3}&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
11.229 |
|
| 21860 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{2}-2 y y^{\prime } x +x^{2} {y^{\prime }}^{2}-{y^{\prime }}^{3}&=0 \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
11.232 |
|
| 21861 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x +y {y^{\prime }}^{2}&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
11.235 |
|
| 21862 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 2 x +y y^{\prime } \left (4 {y^{\prime }}^{2}+6\right )&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
11.240 |
|
| 21863 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 2 {y^{\prime }}^{2}+y y^{\prime }-y^{4}&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
11.241 |
|
| 21864 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y&=4 x {y^{\prime }}^{2}+2 y^{\prime } x \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
11.244 |
|
| 21865 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (-2 y x +x^{2}\right ) {y^{\prime }}^{2}-\left (3 x^{2}+2 y\right ) \left (x -2 y\right ) y^{\prime }+6 x y \left (x -2 y\right )&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
11.244 |
|
| 21866 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} {y^{\prime }}^{2}+y&=y^{\prime } x +1 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
11.244 |
|
| 21867 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y y^{\prime }&=-x {y^{\prime }}^{2} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
11.247 |
|
| 21868 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (y-y^{\prime } x \right )^{2}&=y^{\prime } \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
11.247 |
|
| 21869 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y-{y^{\prime }}^{2}&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
11.247 |
|
| 21870 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x -x {y^{\prime }}^{2}&=0 \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
11.248 |
|
| 21871 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} {y^{\prime }}^{3}+y {y^{\prime }}^{2}-x^{2} y^{\prime }-x^{2} y&=0 \end {array} \]
|
✓ |
✓ |
✗ |
✗ |
11.250 |
|
| 21872 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y&=y^{\prime } x +\ln \left (y^{\prime }\right ) \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
11.250 |
|
| 21873 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x {y^{\prime }}^{2}&=y \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
11.251 |
|
| 21874 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }-12 y^{\prime }+35 y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
11.263 |
|
| 21875 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }-2 y^{\prime }&=0 \end {array} \]
|
✗ |
✗ |
✗ |
✗ |
11.263 |
|
| 21876 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 9 y^{\prime \prime }-30 y^{\prime }+25 y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
11.263 |
|
| 21877 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 3 y^{\prime \prime }-4 y^{\prime }+2 y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
11.264 |
|
| 21878 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime \prime \prime }-6 y^{\prime \prime \prime }+7 y^{\prime \prime }+6 y^{\prime }-8 y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
11.267 |
|
| 21879 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime \prime }-2 y^{\prime \prime }+3 y^{\prime }-6 y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
11.269 |
|
| 21880 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }+5 y^{\prime \prime }-4 y^{\prime }+4 y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
11.277 |
|
| 21881 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime \prime \prime }-8 y^{\prime \prime \prime }+42 y^{\prime \prime }-104 y^{\prime }+169 y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
11.283 |
|
| 21882 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y&=2 x^{2}-3 x -17 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
11.289 |
|
| 21883 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }-2 y^{\prime }-3 y+8 \,{\mathrm e}^{-x}+3 x&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
11.290 |
|
| 21884 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 4 y+y^{\prime \prime }&=2 \tan \left (x \right ) \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
11.299 |
|
| 21885 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }-y^{\prime }&=6 x^{5} {\mathrm e}^{x} \end {array} \]
|
✓ |
✓ |
✗ |
✗ |
11.302 |
|
| 21886 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }-4 y^{\prime }+4 y&=x \,{\mathrm e}^{2 x} \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
11.313 |
|
| 21887 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 4 y+y^{\prime \prime }&=4 \cos \left (2 x \right ) \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
11.318 |
|
| 21888 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime \prime }-6 y^{\prime \prime }+9 y^{\prime }&=x^{3}+{\mathrm e}^{x} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
11.320 |
|
| 21889 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+2 a y^{\prime }+a^{2} y&=x^{2} {\mathrm e}^{-a x} \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
11.321 |
|
| 21890 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime \prime \prime }-y^{\prime \prime \prime }+y^{\prime \prime }-y^{\prime }&=x \,{\mathrm e}^{x} \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
11.330 |
|
| 21891 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+6 y^{\prime }+9 y&=2 \,{\mathrm e}^{-x} \sin \left (x \right ) \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
11.332 |
|
| 21892 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime \prime }+2 y^{\prime \prime }+y^{\prime }&={\mathrm e}^{-x} \sin \left (x \right ) \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
11.337 |
|
| 21893 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )+x \left (t \right )+\frac {d}{d t}y \left (t \right )+y \left (t \right )&=0\\ \frac {d}{d t}x \left (t \right )-\frac {d}{d t}y \left (t \right )-y \left (t \right )&=t\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
11.339 |
|
| 21894 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}y \left (t \right )-3 z \left (t \right )&=5\\ y \left (t \right )-\frac {d}{d t}z \left (t \right )-x \left (t \right )&=3-2 t\\ z \left (t \right )+\frac {d}{d t}x \left (t \right )&=-1\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
11.344 |
|
| 21895 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d^{2}}{d t^{2}}x \left (t \right )-x \left (t \right )+y \left (t \right )&={\mathrm e}^{t}\\ \frac {d}{d t}x \left (t \right )+x \left (t \right )-\frac {d}{d t}y \left (t \right )-y \left (t \right )&=3 \,{\mathrm e}^{t}\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
11.348 |
|
| 21896 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )-2 x \left (t \right )+\frac {d}{d t}y \left (t \right )-2 y \left (t \right )&=1\\ \frac {d}{d t}y \left (t \right )+\frac {d}{d t}z \left (t \right )+z \left (t \right )&=2\\ 3 x \left (t \right )+\frac {d}{d t}z \left (t \right )+z \left (t \right )&=3\\ \end {array} \]
|
✗ |
✓ |
✗ |
✗ |
11.348 |
|
| 21897 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )+3 x \left (t \right )-y \left (t \right )&=0\\ \frac {d}{d t}y \left (t \right )+y \left (t \right )-3 x \left (t \right )&=0\\ \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
11.348 |
|
| 21898 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )-x \left (t \right )-2 y \left (t \right )&=0\\ \frac {d}{d t}y \left (t \right )-2 y \left (t \right )-3 x \left (t \right )&=0\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
11.349 |
|
| 21899 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}y \left (t \right )+y \left (t \right )-\frac {d^{2}}{d t^{2}}x \left (t \right )+x \left (t \right )&={\mathrm e}^{t}\\ \frac {d}{d t}y \left (t \right )-\frac {d}{d t}x \left (t \right )+x \left (t \right )&={\mathrm e}^{-t}\\ \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
11.352 |
|
| 21900 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 2 y^{\prime \prime \prime }+y^{\prime \prime } x +2 y^{\prime }+y x&=0\\ y \left (0\right )&=1\\ y^{\prime }\left (0\right )&=0\\ y^{\prime \prime }\left (0\right )&=-1\\ \end {array} \]
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
11.357 |
|