| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 10801 |
\begin{align*}
y_{1}^{\prime }&=4 y_{1}-8 y_{2}-4 y_{3} \\
y_{2}^{\prime }&=-3 y_{1}-y_{2}-4 y_{3} \\
y_{3}^{\prime }&=y_{1}-y_{2}+9 y_{3} \\
\end{align*} With initial conditions \begin{align*}
y_{1} \left (0\right ) &= -4 \\
y_{2} \left (0\right ) &= 1 \\
y_{3} \left (0\right ) &= -3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.774 |
|
| 10802 |
\begin{align*}
x_{1}^{\prime }&=-7 x_{1}+6 x_{3} \\
x_{2}^{\prime }&=5 x_{2} \\
x_{3}^{\prime }&=6 x_{1}+2 x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.774 |
|
| 10803 |
\begin{align*}
-x^{2} y^{\prime }+x^{3} y^{\prime \prime }&=-x^{2}+3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.774 |
|
| 10804 |
\begin{align*}
\left (-y+y^{\prime } x \right )^{2}+x^{2} y y^{\prime \prime }&=3 y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.774 |
|
| 10805 |
\begin{align*}
x^{\prime }&=9 x+4 y \\
y^{\prime }&=-6 x-y \\
z^{\prime }&=6 x+4 y+3 z \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.774 |
|
| 10806 |
\begin{align*}
x^{\prime }&=5 x-y \\
y^{\prime }&=3 x+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.774 |
|
| 10807 |
\begin{align*}
x^{3} y^{\prime \prime }+\left (-1+\cos \left (2 x \right )\right ) y^{\prime }+2 y x&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.774 |
|
| 10808 |
\begin{align*}
2 y y^{\prime \prime }&={y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.774 |
|
| 10809 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime \prime }-2 y^{\prime } x +12 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.774 |
|
| 10810 |
\begin{align*}
2 x^{\prime }-6 x+3 y^{\prime }-2 y&=0 \\
7 x^{\prime }+4 x+7 y^{\prime }+20 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.774 |
|
| 10811 |
\begin{align*}
x_{1}^{\prime }&=5 x_{1}+5 x_{2}+2 x_{3} \\
x_{2}^{\prime }&=-6 x_{1}-6 x_{2}-5 x_{3} \\
x_{3}^{\prime }&=6 x_{1}+6 x_{2}+5 x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.775 |
|
| 10812 |
\begin{align*}
y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }+7 y^{\prime \prime }-6 y^{\prime }+2 y&={\mathrm e}^{x} \left (12 x -2 \cos \left (x \right )+2 \sin \left (x \right )\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.775 |
|
| 10813 |
\begin{align*}
x^{3} y^{\prime \prime }&=a \left (-y+y^{\prime } x \right )^{2} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.775 |
|
| 10814 |
\begin{align*}
y y^{\prime \prime }&=-y^{\prime }+{y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.775 |
|
| 10815 |
\begin{align*}
2 y y^{\prime \prime }&=3 {y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.775 |
|
| 10816 |
\begin{align*}
a x y^{\prime \prime }+b y^{\prime }+c y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.775 |
|
| 10817 |
\begin{align*}
y^{\prime \prime }&=-\frac {y^{\prime }}{x^{4}}+\frac {y}{x^{5}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.775 |
|
| 10818 |
\begin{align*}
x^{\prime }&=8 x+2 y+7 \,{\mathrm e}^{2 t} \\
y^{\prime }&=4 x+y-7 \,{\mathrm e}^{2 t} \\
\end{align*} With initial conditions \begin{align*}
x \left (0\right ) &= -1 \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.775 |
|
| 10819 |
\begin{align*}
x^{2} \left (x +4\right ) y^{\prime \prime }-x \left (1-3 x \right ) y^{\prime }+y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.776 |
|
| 10820 |
\begin{align*}
6 x^{2} y^{\prime \prime }+x \left (10-x \right ) y^{\prime }-\left (2+x \right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.776 |
|
| 10821 |
\begin{align*}
y_{1}^{\prime }&=-2 y_{1}+2 y_{2}-6 y_{3} \\
y_{2}^{\prime }&=2 y_{1}+6 y_{2}+2 y_{3} \\
y_{3}^{\prime }&=-2 y_{1}-2 y_{2}+2 y_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.776 |
|
| 10822 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+{\mathrm e}^{-t} y&=0 \\
y \left (0\right ) &= 3 \\
y^{\prime }\left (0\right ) &= 5 \\
\end{align*} Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
0.776 |
|
| 10823 |
\begin{align*}
x^{2} y^{\prime \prime }+y^{\prime } x +\left (25 x^{2}-\frac {4}{9}\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.776 |
|
| 10824 |
\begin{align*}
y^{\prime \prime } x +y^{\prime }-y x&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.776 |
|
| 10825 |
\begin{align*}
5 y+2 y^{\prime }+y^{\prime \prime }&=6 \sin \left (2 x \right )+7 \cos \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.776 |
|
| 10826 |
\begin{align*}
y^{\prime }&=\frac {\cos \left (\frac {1}{x}\right )}{x^{2}} \\
y \left (\frac {2}{\pi }\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.776 |
|
| 10827 |
\begin{align*}
y \left (y x +2 y^{2} x^{2}\right )+x \left (y x -y^{2} x^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.776 |
|
| 10828 |
\begin{align*}
y^{\prime \prime } x -3 y^{\prime } x +\sin \left (x \right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.777 |
|
| 10829 |
\begin{align*}
x^{\prime }&=-y \\
y^{\prime }&=4 x+24 t \\
\end{align*} With initial conditions \begin{align*}
x \left (0\right ) &= 0 \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.777 |
|
| 10830 |
\begin{align*}
4 y^{\prime \prime } x +3 y^{\prime }+3 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.778 |
|
| 10831 |
\begin{align*}
y^{\prime \prime } x +y^{\prime }&=x^{n} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.778 |
|
| 10832 |
\begin{align*}
\left (x^{2}+y^{2}\right ) y^{\prime \prime }&=\left (1+y^{2}\right ) \left (-y+y^{\prime } x \right ) \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.778 |
|
| 10833 |
\begin{align*}
x +y+\left (x -y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.778 |
|
| 10834 |
\begin{align*}
\left (x -1\right ) y^{\prime \prime }+\left (x +1\right ) y^{\prime }+y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.778 |
|
| 10835 |
\begin{align*}
x^{\prime }&=8 x+14 y \\
y^{\prime }&=7 x+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.778 |
|
| 10836 |
\begin{align*}
y^{\prime \prime }+y&=2 \cos \left (t \right ) \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.778 |
|
| 10837 |
\begin{align*}
y^{\prime }-5 y&=0 \\
y \left (0\right ) &= 2 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.778 |
|
| 10838 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+y&={\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.778 |
|
| 10839 |
\begin{align*}
t^{2} y^{\prime \prime }+2 y^{\prime } t +t^{2} y&=0 \\
\end{align*} Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
0.778 |
|
| 10840 |
\begin{align*}
4 x^{2} y^{\prime \prime }-16 y^{\prime } x +25 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.779 |
|
| 10841 |
\begin{align*}
2 y^{\prime \prime } x -\left (3+2 x \right ) y^{\prime }+y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.779 |
|
| 10842 |
\begin{align*}
y^{\prime \prime } x +\left (2-2 x \right ) y^{\prime }+\left (x -2\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.779 |
|
| 10843 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime \prime }+1+{y^{\prime }}^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.779 |
|
| 10844 |
\begin{align*}
x^{2} {y^{\prime }}^{2}+\left (y^{3} a \,x^{2}+b \right ) y^{\prime }+a b y^{3}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.779 |
|
| 10845 |
\begin{align*}
y^{2} {y^{\prime }}^{2}+2 a x y y^{\prime }+\left (-1+a \right ) b +a \,x^{2}+\left (1-a \right ) y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.779 |
|
| 10846 |
\begin{align*}
x^{\prime }&=5 x-4 y \\
y^{\prime }&=x+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.779 |
|
| 10847 |
\begin{align*}
x^{\prime }&=y+\tan \left (t \right )^{2}-1 \\
y^{\prime }&=\tan \left (t \right )-x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.779 |
|
| 10848 |
\begin{align*}
x^{\prime \prime }+p x^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.779 |
|
| 10849 |
\begin{align*}
y^{\prime \prime }-y&=x \,{\mathrm e}^{x} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.779 |
|
| 10850 |
\begin{align*}
x_{1}^{\prime }&=3 x_{1}-2 x_{2} \\
x_{2}^{\prime }&=x_{1} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.779 |
|
| 10851 |
\begin{align*}
x^{2} \left (x +1\right ) y^{\prime \prime }+x \left (x^{2}+3\right ) y^{\prime }+y&=-2 x^{2}+x \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.780 |
|
| 10852 |
\begin{align*}
x^{\prime \prime }+\omega _{0}^{2} x&=a \cos \left (\omega t \right ) \\
x \left (0\right ) &= 0 \\
x^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.780 |
|
| 10853 |
\begin{align*}
-\left (x^{2}+1\right ) y+x \left (-x^{2}+1\right ) y^{\prime }+x^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.780 |
|
| 10854 |
\begin{align*}
y \left (y-2 y^{\prime } x \right )^{2}&=2 y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.780 |
|
| 10855 |
\begin{align*}
x \left (y x +1\right ) y^{\prime \prime }+x^{2} {y^{\prime }}^{2}+\left (4 y x +2\right ) y^{\prime }+y^{2}+1&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.780 |
|
| 10856 |
\begin{align*}
x^{2} y^{\prime \prime }-2 y^{\prime } x +2 y&=x^{3} \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.780 |
|
| 10857 |
\begin{align*}
y^{\prime }+y-x^{\prime }+x&=t \\
x^{\prime }+y^{\prime }+x-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.780 |
|
| 10858 |
\begin{align*}
t y^{\prime \prime }-2 y^{\prime }+t y&=0 \\
\end{align*} Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
0.780 |
|
| 10859 |
\begin{align*}
2 \cot \left (x \right ) y^{\prime }+2 \tan \left (y\right ) {y^{\prime }}^{2}+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.781 |
|
| 10860 |
\begin{align*}
2 x \left (x -1\right ) y^{\prime \prime }-\left (x +1\right ) y^{\prime }+y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.781 |
|
| 10861 |
\begin{align*}
y^{\prime \prime }&=\cos \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.781 |
|
| 10862 |
\begin{align*}
x^{\prime }&=-3 x+4 y \\
y^{\prime }&=-2 x+3 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.781 |
|
| 10863 |
\begin{align*}
y_{1}^{\prime }&=-y_{1}+2 y_{2}+5 \\
y_{2}^{\prime }&=-2 y_{1}-y_{2} \\
\end{align*} With initial conditions \begin{align*}
y_{1} \left (0\right ) &= 1 \\
y_{2} \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.781 |
|
| 10864 |
\begin{align*}
y^{\prime \prime }+x^{2} y^{\prime }+\sin \left (x \right ) y&=0 \\
y \left (0\right ) &= a_{0} \\
y^{\prime }\left (0\right ) &= a_{1} \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.782 |
|
| 10865 |
\begin{align*}
x_{1}^{\prime }&=x_{1} \\
x_{2}^{\prime }&=2 x_{1}+x_{2}-2 x_{3} \\
x_{3}^{\prime }&=3 x_{1}+2 x_{2}+x_{3}+{\mathrm e}^{t} \cos \left (2 t \right ) \\
\end{align*} With initial conditions \begin{align*}
x_{1} \left (0\right ) &= 0 \\
x_{2} \left (0\right ) &= 1 \\
x_{3} \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.782 |
|
| 10866 |
\begin{align*}
\left (x^{2}+y^{2}\right ) y^{\prime \prime }&=2 \left (1+y^{2}\right ) \left (-y+y^{\prime } x \right ) \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.782 |
|
| 10867 |
\begin{align*}
10 x^{2} y^{\prime }+8 x^{3} y^{\prime \prime }+x^{2} \left (x^{2}+1\right ) y^{\prime \prime \prime }&=-1+3 x^{2}+2 \ln \left (x \right ) x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.782 |
|
| 10868 |
\begin{align*}
y^{\prime }&=\frac {1}{y-3} \\
y \left (1\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.782 |
|
| 10869 |
\begin{align*}
2 x^{2} y^{\prime \prime }-3 y^{\prime } x +2 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.782 |
|
| 10870 |
\begin{align*}
b \,{\mathrm e}^{2 a x} y+a y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.782 |
|
| 10871 |
\begin{align*}
x^{\prime }&=-x+y \\
y^{\prime }&=-3 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.782 |
|
| 10872 |
\begin{align*}
y^{\prime }&=1-\cot \left (y\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.782 |
|
| 10873 |
\begin{align*}
t^{2} y^{\prime \prime }-t \left (t +2\right ) y^{\prime }+\left (t +2\right ) y&=2 t^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.783 |
|
| 10874 |
\begin{align*}
3 x^{2} y^{\prime \prime }+x \left (x +1\right ) y^{\prime }-\left (1+3 x \right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.783 |
|
| 10875 |
\begin{align*}
t^{2} y^{\prime \prime }+y^{\prime } t +\left (1+t \right ) y&=0 \\
\end{align*} Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✗ |
0.783 |
|
| 10876 |
\begin{align*}
y^{\prime \prime \prime }+y^{\prime }&=\tan \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.783 |
|
| 10877 |
\begin{align*}
x_{1}^{\prime }&=2 x_{1}-x_{2}+3 x_{3} \\
x_{2}^{\prime }&=3 x_{1}+x_{2} \\
x_{3}^{\prime }&=2 x_{1}-x_{2}+3 x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.783 |
|
| 10878 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+4 y&=4 \,{\mathrm e}^{2 x} \sin \left (2 x \right ) x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.783 |
|
| 10879 |
\(\left [\begin {array}{cccc} 22 & -9 & -8 & -8 \\ 10 & -7 & -14 & 2 \\ 10 & 0 & 8 & -10 \\ 29 & -9 & -3 & -15 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
0.783 |
|
| 10880 |
\begin{align*}
y^{\prime }&=\ln \left (-1+y\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.783 |
|
| 10881 |
\begin{align*}
x^{\prime }&=2 x-5 y \\
y^{\prime }&=3 x-7 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.783 |
|
| 10882 |
\begin{align*}
x_{1}^{\prime }&=x_{1}-x_{2}+4 x_{3} \\
x_{2}^{\prime }&=3 x_{1}+2 x_{2}-x_{3} \\
x_{3}^{\prime }&=2 x_{1}+x_{2}-x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.783 |
|
| 10883 |
\begin{align*}
y y^{\prime \prime }-{y^{\prime }}^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.783 |
|
| 10884 |
\begin{align*}
\left (-x^{2}+x \right ) y^{\prime \prime }+4 y^{\prime }+2 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.783 |
|
| 10885 |
\begin{align*}
x^{\prime }&=2 x-3 y+t \,{\mathrm e}^{-t} \\
y^{\prime }&=2 x-3 y+{\mathrm e}^{-t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.784 |
|
| 10886 |
\begin{align*}
a^{2} y-y^{\prime } x +\left (-x^{2}+1\right ) y^{\prime \prime }&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.784 |
|
| 10887 |
\begin{align*}
-y^{\prime }+y^{\prime \prime } x&=-\frac {2}{x}-\ln \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.784 |
|
| 10888 |
\begin{align*}
y^{\prime }&=y^{2}-3 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.784 |
|
| 10889 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime \prime }+y^{\prime } x +y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.784 |
|
| 10890 |
\begin{align*}
x^{2} y^{\prime \prime }+3 y^{\prime } x +\left (4 x^{2}+1\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.784 |
|
| 10891 |
\begin{align*}
x^{\prime \prime }+7 x&=t \,{\mathrm e}^{3 t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.784 |
|
| 10892 |
\begin{align*}
x^{5} y^{\left (6\right )}+x^{4} y^{\left (5\right )}+y^{\prime } x +y&=\ln \left (x \right ) \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.784 |
|
| 10893 |
\begin{align*}
y_{1}^{\prime }&=4 y_{1}-y_{2}-4 y_{3} \\
y_{2}^{\prime }&=4 y_{1}-3 y_{2}-2 y_{3} \\
y_{3}^{\prime }&=y_{1}-y_{2}-y_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.785 |
|
| 10894 |
\begin{align*}
p^{\prime }&=p \left (1-p\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.785 |
|
| 10895 |
\begin{align*}
y^{\prime }-f \left (a x +b y\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.785 |
|
| 10896 |
\begin{align*}
5 y+2 y^{\prime }+y^{\prime \prime }&=0 \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= 6 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.785 |
|
| 10897 |
\(\left [\begin {array}{ccc} 1 & 3 & -6 \\ 0 & 2 & 2 \\ 0 & -1 & 5 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
0.785 |
|
| 10898 |
\begin{align*}
y_{1}^{\prime }&=y_{2}+y_{4} \\
y_{2}^{\prime }&=y_{1}-y_{3} \\
y_{3}^{\prime }&=y_{4} \\
y_{4}^{\prime }&=y_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.785 |
|
| 10899 |
\begin{align*}
x_{1}^{\prime }&=x_{1}+x_{2}+{\mathrm e}^{-2 t} \\
x_{2}^{\prime }&=4 x_{1}-2 x_{2}-2 \,{\mathrm e}^{t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.785 |
|
| 10900 |
\begin{align*}
y^{\prime }&=y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.785 |
|