| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 19601 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 4 x^{2} y^{\prime \prime }+\left (2 x^{4}-5 x \right ) y^{\prime }+\left (3 x^{2}+2\right ) y&=0 \end {array} \]
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
6.894 |
|
| 19602 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 4 y^{\prime \prime } x +2 y^{\prime }+y&=0 \end {array} \]
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
6.895 |
|
| 19603 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 2 y^{\prime \prime } x +\left (3-x \right ) y^{\prime }-y&=0 \end {array} \]
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
6.895 |
|
| 19604 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 2 y^{\prime \prime } x +\left (x +1\right ) y^{\prime }+3 y&=0 \end {array} \]
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
6.895 |
|
| 19605 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 2 x^{2} y^{\prime \prime }+y^{\prime } x -\left (x +1\right ) y&=0 \end {array} \]
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
6.895 |
|
| 19606 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} y^{\prime \prime }+y^{\prime } x +x^{2} y&=0 \end {array} \]
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
6.898 |
|
| 19607 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+\frac {y^{\prime }}{x^{2}}-\frac {y}{x^{3}}&=0 \end {array} \]
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
6.898 |
|
| 19608 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+\frac {n y^{\prime }}{x^{2}}+\frac {q y}{x^{3}}&=0 \end {array} \]
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
6.898 |
|
| 19609 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} y^{\prime \prime }-3 y^{\prime } x +\left (4 x +4\right ) y&=0 \end {array} \]
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
6.901 |
|
| 19610 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 4 x^{2} y^{\prime \prime }-8 x^{2} y^{\prime }+\left (4 x^{2}+1\right ) y&=0 \end {array} \]
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
6.902 |
|
| 19611 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime } x +2 y^{\prime }+y x&=0 \end {array} \]
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
6.904 |
|
| 19612 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} y^{\prime \prime }-x^{2} y^{\prime }+\left (x^{2}-2\right ) y&=0 \end {array} \]
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
6.905 |
|
| 19613 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime } x -y^{\prime }+4 x^{3} y&=0 \end {array} \]
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
6.909 |
|
| 19614 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} y^{\prime \prime }+y^{\prime } x +\left (x^{2}-1\right ) y&=0 \end {array} \]
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
6.911 |
|
| 19615 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} y^{\prime \prime }+y^{\prime } x +\left (x^{2}-\frac {1}{4}\right ) y&=0 \end {array} \]
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
6.912 |
|
| 19616 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (1-x \right ) x y^{\prime \prime }+\left (\frac {3}{2}-2 x \right ) y^{\prime }+2 y&=0 \end {array} \]
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
6.914 |
|
| 19617 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (2 x^{2}+2 x \right ) y^{\prime \prime }+\left (5 x +1\right ) y^{\prime }+y&=0 \end {array} \]
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
6.914 |
|
| 19618 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (x^{2}-1\right ) y^{\prime \prime }+\left (5 x +4\right ) y^{\prime }+4 y&=0 \end {array} \]
Series expansion around \(x=-1\). |
✓ |
✓ |
✓ |
✓ |
6.914 |
|
| 19619 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (x^{2}-x -6\right ) y^{\prime \prime }+\left (3 x +5\right ) y^{\prime }+y&=0 \end {array} \]
Series expansion around \(x=3\). |
✓ |
✓ |
✓ |
✓ |
6.917 |
|
| 19620 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (1-x \right ) x y^{\prime \prime }+\left (1-3 x \right ) y^{\prime }-y&=0 \end {array} \]
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
6.918 |
|
| 19621 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} n \left (n +1\right ) y-2 y^{\prime } x +\left (-x^{2}+1\right ) y^{\prime \prime }&=0 \end {array} \]
Series expansion around \(x=\infty \). |
✓ |
✓ |
✓ |
✓ |
6.919 |
|
| 19622 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} y^{\prime \prime }+y^{\prime } x +\left (-n^{2}+x^{2}\right ) y&=0 \end {array} \]
Series expansion around \(x=\infty \). |
✓ |
✓ |
✓ |
✓ |
6.921 |
|
| 19623 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }+y&=3 \,{\mathrm e}^{2 x}\\ y \left (0\right )&=0\\ \end {array} \]
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
6.921 |
|
| 19624 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }-4 y^{\prime }+4 y&=0\\ y \left (0\right )&=0\\ y^{\prime }\left (0\right )&=3\\ \end {array} \]
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
6.922 |
|
| 19625 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+2 y^{\prime }+2 y&=2\\ y \left (0\right )&=0\\ y^{\prime }\left (0\right )&=1\\ \end {array} \]
Using Laplace transform method. |
✗ |
✓ |
✓ |
✗ |
6.922 |
|
| 19626 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+y^{\prime }&=3 x^{2}\\ y \left (0\right )&=0\\ y^{\prime }\left (0\right )&=1\\ \end {array} \]
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
6.924 |
|
| 19627 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 5 y+2 y^{\prime }+y^{\prime \prime }&=3 \,{\mathrm e}^{-x} \sin \left (x \right )\\ y \left (0\right )&=0\\ y^{\prime }\left (0\right )&=3\\ \end {array} \]
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
6.924 |
|
| 19628 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }-2 a y^{\prime }+a^{2} y&=0\\ y \left (0\right )&=y_{0}\\ y^{\prime }\left (0\right )&=\operatorname {yd}_{0}\\ \end {array} \]
Using Laplace transform method. |
✓ |
✓ |
✓ |
✗ |
6.929 |
|
| 19629 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime } x +\left (3 x -1\right ) y^{\prime }-\left (9+4 x \right ) y&=0\\ y \left (0\right )&=0\\ y^{\prime }\left (0\right )&=0\\ \end {array} \]
Using Laplace transform method. |
✓ |
✓ |
✓ |
✗ |
6.929 |
|
| 19630 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime } x +\left (2 x +3\right ) y^{\prime }+\left (x +3\right ) y&=3 \,{\mathrm e}^{-x}\\ y \left (0\right )&=0\\ y^{\prime }\left (0\right )&=0\\ \end {array} \]
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
6.930 |
|
| 19631 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+x^{2} y&=0\\ y \left (0\right )&=y_{0}\\ y^{\prime }\left (0\right )&=\operatorname {yd}_{0}\\ \end {array} \]
Using Laplace transform method. |
✓ |
✓ |
✓ |
✗ |
6.930 |
|
| 19632 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+a^{2} y&=f \left (x \right )\\ y \left (0\right )&=0\\ y^{\prime }\left (0\right )&=0\\ \end {array} \]
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
6.932 |
|
| 19633 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+5 y^{\prime }+6 y&=4 \,{\mathrm e}^{3 t}\\ y \left (0\right )&=0\\ y^{\prime }\left (0\right )&=0\\ \end {array} \]
Using Laplace transform method. |
✓ |
✓ |
✓ |
✗ |
6.933 |
|
| 19634 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+y^{\prime }-6 y&=t\\ y \left (0\right )&=0\\ y^{\prime }\left (0\right )&=0\\ \end {array} \]
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
6.934 |
|
| 19635 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }-y^{\prime }&=t^{2}\\ y \left (0\right )&=0\\ y^{\prime }\left (0\right )&=0\\ \end {array} \]
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
6.939 |
|
| 19636 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }+3 y^{\prime }+2 y&=f \left (t \right )\\ y \left (0\right )&=0\\ y^{\prime }\left (0\right )&=0\\ \end {array} \]
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
6.940 |
|
| 19637 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=x \left (t \right )+3 y \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=3 x \left (t \right )+y \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
6.940 |
|
| 19638 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=x \left (t \right )+2 y \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=3 x \left (t \right )+2 y \left (t \right )\\ \end {array} \]
|
✗ |
✗ |
✗ |
✗ |
6.941 |
|
| 19639 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=x \left (t \right )+2 y \left (t \right )+t -1\\ \frac {d}{d t}y \left (t \right )&=3 x \left (t \right )+2 y \left (t \right )-5 t -2\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
6.941 |
|
| 19640 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime }\left (t \right )&=x \left (t \right )+y\\ y^{\prime }&=y\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
6.943 |
|
| 19641 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=x \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=y \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
6.943 |
|
| 19642 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=-3 x \left (t \right )+4 y \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=-2 x \left (t \right )+3 y \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
6.944 |
|
| 19643 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=4 x \left (t \right )-2 y \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=5 x \left (t \right )+2 y \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
6.944 |
|
| 19644 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=5 x \left (t \right )+4 y \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=-x \left (t \right )+y \left (t \right )\\ \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
6.947 |
|
| 19645 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=4 x \left (t \right )-3 y \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=8 x \left (t \right )-6 y \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
6.948 |
|
| 19646 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime }\left (t \right )&=2 x \left (t \right )\\ y^{\prime }&=3 y\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
6.948 |
|
| 19647 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime }\left (t \right )&=-4 x \left (t \right )-y \left (t \right )\\ y^{\prime }\left (t \right )&=x \left (t \right )-2 y \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
6.950 |
|
| 19648 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=7 x \left (t \right )+6 y \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=2 x \left (t \right )+6 y \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
6.951 |
|
| 19649 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime }\left (t \right )&=x \left (t \right )-2 y \left (t \right )\\ y^{\prime }\left (t \right )&=4 x \left (t \right )+5 y \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
6.952 |
|
| 19650 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=x \left (t \right )+y \left (t \right )-5 t +2\\ \frac {d}{d t}y \left (t \right )&=4 x \left (t \right )-2 y \left (t \right )-8 t -8\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
6.953 |
|
| 19651 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=2 x \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=3 y \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
6.954 |
|
| 19652 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=-x \left (t \right )-2 y \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=4 x \left (t \right )-5 y \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
6.954 |
|
| 19653 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime }\left (t \right )&=-3 x \left (t \right )+4 y\\ y^{\prime }&=-2 x \left (t \right )+3 y\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
6.960 |
|
| 19654 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=5 x \left (t \right )+2 y \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=-17 x \left (t \right )-5 y \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
6.960 |
|
| 19655 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime }\left (t \right )&=-4 x \left (t \right )-y\\ y^{\prime }&=x \left (t \right )-2 y\\ \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
6.961 |
|
| 19656 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \frac {d}{d t}x \left (t \right )&=4 x \left (t \right )-3 y \left (t \right )\\ \frac {d}{d t}y \left (t \right )&=8 x \left (t \right )-6 y \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
6.964 |
|
| 19657 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime }\left (t \right )&=4 x \left (t \right )-2 y \left (t \right )\\ y^{\prime }\left (t \right )&=5 x \left (t \right )+2 y \left (t \right )\\ \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
6.967 |
|
| 19658 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime \prime }+\left (5 x^{4}-9 x^{2}\right ) x^{\prime }+x^{5}&=0 \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
6.971 |
|
| 19659 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime }&=3 t^{2}+4 t\\ x \left (1\right )&=0\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
6.973 |
|
| 19660 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime }&=b \,{\mathrm e}^{t}\\ x \left (1\right )&=0\\ \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
6.975 |
|
| 19661 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime }&=\frac {1}{t^{2}+1}\\ x \left (1\right )&=0\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
6.977 |
|
| 19662 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime }&=\frac {1}{\sqrt {t^{2}+1}}\\ x \left (1\right )&=0\\ \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
6.978 |
|
| 19663 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime }&=\cos \left (t \right )\\ x \left (1\right )&=0\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
6.978 |
|
| 19664 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime }&=\frac {\cos \left (t \right )}{\sin \left (t \right )}\\ x \left (1\right )&=0\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
6.983 |
|
| 19665 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime }&=x^{2}-3 x+2\\ x \left (0\right )&=1\\ \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
6.987 |
|
| 19666 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime }&=b \,{\mathrm e}^{x}\\ x \left (0\right )&=1\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
6.988 |
|
| 19667 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime }&=\left (x-1\right )^{2}\\ x \left (0\right )&=1\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
6.989 |
|
| 19668 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime }&=\sqrt {x^{2}-1}\\ x \left (0\right )&=1\\ \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
6.991 |
|
| 19669 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime }&=2 \sqrt {x}\\ x \left (0\right )&=1\\ \end {array} \]
|
✓ |
✓ |
✗ |
✗ |
6.991 |
|
| 19670 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime }&=\tan \left (x\right )\\ x \left (0\right )&=1\\ \end {array} \]
|
✗ |
✗ |
✗ |
✗ |
6.992 |
|
| 19671 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 3 t^{2} x-t x+\left (3 t^{3} x^{2}+t^{3} x^{4}\right ) x^{\prime }&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
6.993 |
|
| 19672 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 1+2 x+\left (-t^{2}+4\right ) x^{\prime }&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
6.994 |
|
| 19673 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime }&=\cos \left (\frac {x}{t}\right ) \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
6.994 |
|
| 19674 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (t^{2}-x^{2}\right ) x^{\prime }&=t x \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
6.995 |
|
| 19675 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime } {\mathrm e}^{3 t}+3 x \,{\mathrm e}^{3 t}&=2 t \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
6.996 |
|
| 19676 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 2 t +3 x+\left (3 t -x\right ) x^{\prime }&=t^{2} \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
6.999 |
|
| 19677 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime }+2 x&={\mathrm e}^{t} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
6.999 |
|
| 19678 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime }+x \tan \left (t \right )&=0 \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
7.002 |
|
| 19679 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime }-x \tan \left (t \right )&=4 \sin \left (t \right ) \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
7.004 |
|
| 19680 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} t^{3} x^{\prime }+\left (-3 t^{2}+2\right ) x&=t^{3} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
7.004 |
|
| 19681 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime }+2 t x+t x^{4}&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
7.006 |
|
| 19682 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} t x^{\prime }+x \ln \left (t \right )&=t^{2} \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
7.007 |
|
| 19683 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} t x^{\prime }+x g \left (t \right )&=h \left (t \right ) \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
7.007 |
|
| 19684 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} t^{2} x^{\prime \prime }-6 t x^{\prime }+12 x&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
7.008 |
|
| 19685 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime }&=-\lambda x \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
7.010 |
|
| 19686 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime }\left (t \right )&=x \left (t \right )\\ y^{\prime }&=x \left (t \right )+2 y\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
7.010 |
|
| 19687 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} t^{2} x^{\prime \prime }-2 t x^{\prime }+2 x&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
7.012 |
|
| 19688 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime \prime }-5 x^{\prime }+6 x&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
7.013 |
|
| 19689 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime \prime }-4 x^{\prime }+4 x&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
7.013 |
|
| 19690 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime \prime }-4 x^{\prime }+5 x&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
7.013 |
|
| 19691 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime \prime }+3 x^{\prime }&=0 \end {array} \]
|
✗ |
✗ |
✗ |
✗ |
7.013 |
|
| 19692 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime \prime }-3 x^{\prime }+2 x&=0\\ x \left (0\right )&=0\\ x^{\prime }\left (0\right )&=1\\ \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
7.013 |
|
| 19693 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime \prime }+x&=0\\ x \left (0\right )&=0\\ x^{\prime }\left (0\right )&=1\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
7.015 |
|
| 19694 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime \prime }+2 x^{\prime }+x&=0\\ x \left (0\right )&=0\\ x^{\prime }\left (0\right )&=1\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
7.018 |
|
| 19695 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime \prime }-2 x^{\prime }+2 x&=0\\ x \left (0\right )&=0\\ x^{\prime }\left (0\right )&=1\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
7.019 |
|
| 19696 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime \prime }-x&=t^{2}\\ x \left (0\right )&=0\\ x^{\prime }\left (0\right )&=1\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
7.019 |
|
| 19697 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime \prime }-x&={\mathrm e}^{t}\\ x \left (0\right )&=0\\ x^{\prime }\left (0\right )&=1\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
7.019 |
|
| 19698 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime \prime }+2 x^{\prime }+4 x&={\mathrm e}^{t} \cos \left (2 t \right )\\ x \left (0\right )&=0\\ x^{\prime }\left (0\right )&=1\\ \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
7.020 |
|
| 19699 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime \prime }-x^{\prime }+x&=\sin \left (2 t \right )\\ x \left (0\right )&=0\\ x^{\prime }\left (0\right )&=1\\ \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
7.020 |
|
| 19700 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{\prime \prime }+4 x^{\prime }+3 x&=t \sin \left (t \right )\\ x \left (0\right )&=0\\ x^{\prime }\left (0\right )&=1\\ \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
7.020 |
|