| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 9801 |
\begin{align*}
y^{\prime }-y x&=\sin \left (x \right ) \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.665 |
|
| 9802 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime } x +5 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.665 |
|
| 9803 |
\begin{align*}
y^{\prime \prime } x -\left (x +1\right ) y^{\prime }-2 \left (x -1\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.665 |
|
| 9804 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime \prime }+3 y^{\prime } x +a y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.665 |
|
| 9805 |
\begin{align*}
y^{\prime \prime } x +2 y^{\prime }+a \,x^{v} y^{n}&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.665 |
|
| 9806 |
\begin{align*}
x^{\prime \prime }+x^{\prime }+x&=4 t +5 \,{\mathrm e}^{-t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.665 |
|
| 9807 |
\begin{align*}
y^{2}-2 \sin \left (2 t \right )+\left (1+2 t y\right ) y^{\prime }&=0 \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.665 |
|
| 9808 |
\begin{align*}
\sin \left (y^{\prime }\right )&=x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.665 |
|
| 9809 |
\begin{align*}
y&=y^{\prime } x +{y^{\prime }}^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.665 |
|
| 9810 |
\begin{align*}
y+2 y^{\prime }+y^{\prime \prime }&=\cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.665 |
|
| 9811 |
\begin{align*}
6 x^{2} \left (2 x^{2}+1\right ) y^{\prime \prime }+x \left (50 x^{2}+1\right ) y^{\prime }+\left (30 x^{2}+1\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.666 |
|
| 9812 |
\begin{align*}
x^{\prime }&=-\frac {9 x}{10}-2 y \\
y^{\prime }&=x+\frac {11 y}{10} \\
\end{align*} With initial conditions \begin{align*}
x \left (0\right ) &= 1 \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.666 |
|
| 9813 |
\begin{align*}
\left (x^{2}-4\right ) y^{\prime \prime }+y&=0 \\
\end{align*} Series expansion around \(x=1\). |
✓ |
✓ |
✓ |
✓ |
0.666 |
|
| 9814 |
\begin{align*}
4 y+y^{\prime \prime }&=\sin \left (2 x \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.666 |
|
| 9815 |
\begin{align*}
x_{1}^{\prime }&=x_{2} \\
x_{2}^{\prime }&=x_{3} \\
x_{3}^{\prime }&=6 t \\
\end{align*} With initial conditions \begin{align*}
x_{1} \left (0\right ) &= 0 \\
x_{2} \left (0\right ) &= 0 \\
x_{3} \left (0\right ) &= 12 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.666 |
|
| 9816 |
\begin{align*}
9 y+6 y^{\prime }+y^{\prime \prime }&=\frac {{\mathrm e}^{-3 x}}{x^{3}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.666 |
|
| 9817 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+4 y&=\frac {{\mathrm e}^{2 x}}{x^{4}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.666 |
|
| 9818 |
\begin{align*}
\left (t^{2}+1\right ) y^{\prime \prime }-4 y^{\prime } t +6 y&=2 t \\
y \left (0\right ) &= a \\
y^{\prime }\left (0\right ) &= b \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.666 |
|
| 9819 |
\begin{align*}
y_{1}^{\prime }&=-3 y_{1}-3 y_{2}+4 y_{3} \\
y_{2}^{\prime }&=4 y_{1}+5 y_{2}-8 y_{3} \\
y_{3}^{\prime }&=2 y_{1}+3 y_{2}-5 y_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.667 |
|
| 9820 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }+5 y&=5 \,{\mathrm e}^{-x} \sin \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.667 |
|
| 9821 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime } x +\left (4 x^{2}-2\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.667 |
|
| 9822 |
\begin{align*}
y^{\prime \prime }+\sin \left (y\right ) {y^{\prime }}^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.667 |
|
| 9823 |
\begin{align*}
x^{\prime \prime }+x^{\prime }+x&=5 \sin \left (7 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.667 |
|
| 9824 |
\begin{align*}
y^{\prime \prime }+8 y^{\prime }+16 y&=\frac {{\mathrm e}^{-4 t}}{t^{4}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.667 |
|
| 9825 |
\begin{align*}
y^{\prime \prime } x +2 y^{\prime } x +2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.667 |
|
| 9826 |
\begin{align*}
y^{\prime \prime \prime }+y^{\prime \prime }-y^{\prime }-y&=4 \,{\mathrm e}^{-x} \left (1-6 x \right )-2 \cos \left (x \right ) x +2 \left (x +1\right ) \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.668 |
|
| 9827 |
\begin{align*}
y_{1}^{\prime }&=3 y_{1}+2 y_{2}-2 y_{3} \\
y_{2}^{\prime }&=-2 y_{1}+7 y_{2}-2 y_{3} \\
y_{3}^{\prime }&=-10 y_{1}+10 y_{2}-5 y_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.668 |
|
| 9828 |
\begin{align*}
y^{\prime }&=4 y^{2}-3 y+1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.668 |
|
| 9829 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+5 y&=25 t -100 \delta \left (t -\pi \right ) \\
y \left (0\right ) &= -2 \\
y^{\prime }\left (0\right ) &= 5 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.668 |
|
| 9830 |
\begin{align*}
3 y^{\prime \prime }+4 y^{\prime }-4 y&=0 \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= -4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.668 |
|
| 9831 |
\begin{align*}
x^{\prime \prime }-3 x^{\prime }+2 x&=0 \\
x \left (0\right ) &= 2 \\
x^{\prime }\left (0\right ) &= 6 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.668 |
|
| 9832 |
\begin{align*}
x^{\prime }&=x-4 y+2 t \\
y^{\prime }&=x-3 y-3 \\
\end{align*} With initial conditions \begin{align*}
x \left (0\right ) &= 1 \\
y \left (0\right ) &= -2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.668 |
|
| 9833 |
\begin{align*}
y^{\prime \prime }+y&=3 \sin \left (2 t \right )+t \cos \left (2 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.668 |
|
| 9834 |
\begin{align*}
y^{\prime \prime }+2 y&=7 \cos \left (3 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.668 |
|
| 9835 |
\begin{align*}
y^{\prime \prime } x +\left (4+2 x \right ) y^{\prime }+\left (2+x \right ) y&=0 \\
\end{align*} Series expansion around \(x=-1\). |
✓ |
✓ |
✓ |
✓ |
0.669 |
|
| 9836 |
\begin{align*}
\left (-t^{2}+1\right ) y^{\prime \prime }-2 y^{\prime } t +\alpha \left (\alpha +1\right ) y&=0 \\
\end{align*} Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
0.669 |
|
| 9837 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=4 \cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.669 |
|
| 9838 |
\begin{align*}
{y^{\prime }}^{2}+y^{2}&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.669 |
|
| 9839 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }+2 y&={\mathrm e}^{{\mathrm e}^{x}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.669 |
|
| 9840 |
\begin{align*}
y^{\prime }&={\mathrm e}^{x} \cos \left (x \right ) \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.669 |
|
| 9841 |
\begin{align*}
y+3 y^{\prime } x +9 x^{2} y^{\prime \prime }+6 x^{3} y^{\prime \prime \prime }+x^{4} y^{\prime \prime \prime \prime }&=\left (1+\ln \left (x \right )\right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.669 |
|
| 9842 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+3 y&=0 \\
y \left (0\right ) &= 3 \\
y^{\prime }\left (0\right ) &= 5 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.669 |
|
| 9843 |
\begin{align*}
x^{2} y^{\prime \prime }+2 y^{\prime } x -3 y x&=0 \\
\end{align*} Series expansion around \(x=2\). |
✓ |
✓ |
✓ |
✓ |
0.670 |
|
| 9844 |
\begin{align*}
4 z y^{\prime \prime }+2 \left (1-z \right ) y^{\prime }-y&=0 \\
\end{align*} Series expansion around \(z=0\). |
✓ |
✓ |
✓ |
✓ |
0.670 |
|
| 9845 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=8 x^{2} {\mathrm e}^{3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.670 |
|
| 9846 |
\begin{align*}
y^{\prime \prime } x -y^{\prime }+4 x^{3} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.670 |
|
| 9847 |
\begin{align*}
-a^{2} x^{3} y-y^{\prime }+y^{\prime \prime } x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.670 |
|
| 9848 |
\begin{align*}
-2 b y+2 a y^{\prime }+x \left (b x +a \right ) y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.670 |
|
| 9849 |
\begin{align*}
\left (a -x \right )^{2} \left (b -x \right )^{2} y^{\prime \prime }&=k^{2} y \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.670 |
|
| 9850 |
\begin{align*}
y^{\prime } x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.670 |
|
| 9851 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+20 y&={\mathrm e}^{-2 t} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.670 |
|
| 9852 |
\begin{align*}
x^{2} y^{\prime \prime }+y^{\prime } x +\left (-\nu ^{2}+x^{2}\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.670 |
|
| 9853 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=\sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.670 |
|
| 9854 |
\begin{align*}
9 x^{2} y^{\prime \prime }+9 \left (-x^{2}+x \right ) y^{\prime }+\left (x -1\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.671 |
|
| 9855 |
\begin{align*}
4 \left (1-x \right ) x^{2} y^{\prime \prime }+3 x \left (2 x +1\right ) y^{\prime }-3 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.671 |
|
| 9856 |
\begin{align*}
x^{2} y^{\prime \prime }+2 x^{2} y^{\prime }-\left (3 x^{2}+2\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.671 |
|
| 9857 |
\begin{align*}
x^{\prime }&=-2 x+5 y \\
y^{\prime }&=-2 x+4 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.671 |
|
| 9858 |
\begin{align*}
-2 y+2 y^{\prime } x -x^{2} y^{\prime \prime }+x^{3} y^{\prime \prime \prime }&=x^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.671 |
|
| 9859 |
\begin{align*}
4 x^{\prime \prime }-20 x^{\prime }+21 x&=0 \\
x \left (0\right ) &= -4 \\
x^{\prime }\left (0\right ) &= -12 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.671 |
|
| 9860 |
\begin{align*}
y^{\prime \prime }+4 y&=t \\
y \left (\frac {\pi }{4}\right ) &= 1 \\
y^{\prime }\left (\frac {\pi }{4}\right ) &= \frac {\pi }{16} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.671 |
|
| 9861 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+4 y&=\frac {{\mathrm e}^{2 t}}{t^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.671 |
|
| 9862 |
\begin{align*}
y&=y^{\prime } x -{y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.671 |
|
| 9863 |
\begin{align*}
-2 y^{\prime }+y^{\prime \prime } x&=x^{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.671 |
|
| 9864 |
\begin{align*}
x^{\prime }&=-3 x-4 y \\
y^{\prime }&=2 x+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.672 |
|
| 9865 |
\begin{align*}
x^{\prime }&=-2 x+y+z \\
y^{\prime }&=-3 x+2 y+3 z \\
z^{\prime }&=x-y-2 z \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.672 |
|
| 9866 |
\begin{align*}
x y y^{\prime \prime }&=y \left (\operatorname {a2} +\operatorname {a3} y^{2}\right )+x \left (\operatorname {a0} +\operatorname {a1} y^{4}\right )-y y^{\prime }+x {y^{\prime }}^{2} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.672 |
|
| 9867 |
\begin{align*}
x^{\prime }&=4 x-2 y \\
y^{\prime }&=5 x+2 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.672 |
|
| 9868 |
\begin{align*}
x^{2} y^{\prime \prime }&=y^{\prime } \left (2 x -y^{\prime }\right ) \\
y \left (-1\right ) &= 5 \\
y^{\prime }\left (-1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.672 |
|
| 9869 |
\begin{align*}
\sin \left (x \right )+2 \cos \left (x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.672 |
|
| 9870 |
\begin{align*}
x^{\prime }&=x+y-5 t +2 \\
y^{\prime }&=4 x-2 y-8 t -8 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.672 |
|
| 9871 |
\begin{align*}
\left (a^{2}-x^{2}\right ) {y^{\prime }}^{3}+b x \left (a^{2}-x^{2}\right ) {y^{\prime }}^{2}-y^{\prime }-b x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.672 |
|
| 9872 |
\begin{align*}
y^{\prime \prime }+y&=x \,{\mathrm e}^{x} \cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.672 |
|
| 9873 |
\begin{align*}
y^{\prime \prime }-y&=\frac {1}{\left (1+{\mathrm e}^{-x}\right )^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.672 |
|
| 9874 |
\begin{align*}
y^{\prime }&=t^{2}+1 \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.672 |
|
| 9875 |
\begin{align*}
x^{2} \left (1-2 x \right ) y^{\prime \prime }-x \left (5-4 x \right ) y^{\prime }+\left (9-4 x \right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.673 |
|
| 9876 |
\begin{align*}
x^{\prime }+2 x-y&=0 \\
x+y^{\prime }-2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.673 |
|
| 9877 |
\begin{align*}
x^{\prime }&=2 x+y-z \\
y^{\prime }&=-x+2 z \\
z^{\prime }&=-x-2 y+4 z \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.673 |
|
| 9878 |
\begin{align*}
y^{\prime \prime }+9 y&=25 x \cos \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.673 |
|
| 9879 |
\begin{align*}
x^{\prime }+x+2 y&=2 \,{\mathrm e}^{-t} \\
y^{\prime }+y+z&=1 \\
z^{\prime }+z&=1 \\
\end{align*} With initial conditions \begin{align*}
x \left (0\right ) &= 1 \\
y \left (0\right ) &= 1 \\
z \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.673 |
|
| 9880 |
\begin{align*}
y^{\prime \prime }&=x^{n} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.674 |
|
| 9881 |
\begin{align*}
x_{1}^{\prime }&=2 x_{1}+2 x_{2}-x_{3} \\
x_{2}^{\prime }&=2 x_{1}+x_{2}-x_{3} \\
x_{3}^{\prime }&=2 x_{1}+3 x_{2}-x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.674 |
|
| 9882 |
\begin{align*}
2 x^{2} y^{\prime \prime }+5 y^{\prime } x +4 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.674 |
|
| 9883 |
\begin{align*}
16 y^{2} {y^{\prime }}^{3}+2 y^{\prime } x -y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.674 |
|
| 9884 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }+2 y&=\frac {{\mathrm e}^{-x}}{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.674 |
|
| 9885 |
\begin{align*}
y^{\prime \prime }-x^{2} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.674 |
|
| 9886 |
\begin{align*}
y^{\prime }&=y^{2}-2 y+1 \\
y \left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.674 |
|
| 9887 |
\begin{align*}
y^{\prime \prime }+7 y^{\prime }+10 y&={\mathrm e}^{-2 t} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.674 |
|
| 9888 |
\begin{align*}
y^{\prime \prime \prime }+y^{\prime \prime }-y^{\prime }-y&=0 \\
y \left (0\right ) &= 1 \\
y \left (2\right ) &= 0 \\
y \left (\infty \right ) &= 0 \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
0.674 |
|
| 9889 |
\begin{align*}
y^{\prime \prime }-y&=\frac {2}{\sqrt {1-{\mathrm e}^{-2 x}}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.674 |
|
| 9890 |
\begin{align*}
x_{1}^{\prime }&=x_{1}+x_{2}+x_{3} \\
x_{2}^{\prime }&=2 x_{1}+x_{2}-x_{3} \\
x_{3}^{\prime }&=-x_{2}+x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.675 |
|
| 9891 |
\begin{align*}
8 x^{2} \left (-x^{2}+2\right ) y^{\prime \prime }+2 x \left (-21 x^{2}+10\right ) y^{\prime }-\left (35 x^{2}+2\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.675 |
|
| 9892 |
\begin{align*}
3 x^{2} y^{\prime \prime }+\left (-x^{2}+5 x \right ) y^{\prime }+\left (2 x^{2}-1\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.675 |
|
| 9893 |
\begin{align*}
{y^{\prime }}^{2}-\left (x +1\right ) y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.675 |
|
| 9894 |
\begin{align*}
y^{\prime \prime }+y&=\sin \left (2 x \right ) {\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.675 |
|
| 9895 |
\begin{align*}
-12 y-2 \left (2 x +1\right ) y^{\prime }+\left (2 x +1\right )^{2} y^{\prime \prime }&=1+3 x \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.675 |
|
| 9896 |
\begin{align*}
x_{1}^{\prime }&=4 x_{1}-x_{2} \\
x_{2}^{\prime }&=5 x_{1}+2 x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.675 |
|
| 9897 |
\begin{align*}
x^{2} y^{\prime \prime }+y^{\prime } x +x^{2} y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.675 |
|
| 9898 |
\begin{align*}
y^{\prime \prime }+\cos \left (x \right ) y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.675 |
|
| 9899 |
\begin{align*}
x^{2} y^{\prime \prime }+a x y^{\prime }+\left (x^{m} b +c \right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.675 |
|
| 9900 |
\begin{align*}
y^{\prime }+{y^{\prime }}^{3}+2 y^{\prime \prime } x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.675 |
|