| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 10801 |
\begin{align*}
y+2 y^{\prime }+y^{\prime \prime }&=7+{\mathrm e}^{x}+{\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.828 |
|
| 10802 |
\begin{align*}
t^{2} y^{\prime \prime }-2 y&=3 t^{2}-1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.829 |
|
| 10803 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime }+2 y x&=\frac {1}{\left (x^{2}+1\right ) y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.829 |
|
| 10804 |
\begin{align*}
6 x^{2} y^{\prime \prime }+x \left (6 x^{2}+1\right ) y^{\prime }+\left (9 x^{2}+1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.829 |
|
| 10805 |
\begin{align*}
y^{\prime \prime }+9 y&=5 \cos \left (2 x \right ) \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.829 |
|
| 10806 |
\begin{align*}
y y^{\prime \prime }&=-2 y^{\prime }+{y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.829 |
|
| 10807 |
\begin{align*}
\left (x^{2}-25\right ) y^{\prime \prime }+2 x y^{\prime }+y&=0 \\
\end{align*}
Series expansion around \(x=1\). |
✓ |
✓ |
✓ |
✓ |
0.829 |
|
| 10808 |
\begin{align*}
\left (x^{2}+2\right ) y^{\prime \prime }+3 x y^{\prime }-y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.829 |
|
| 10809 |
\begin{align*}
\left (2 x^{5}+1\right ) y^{\prime \prime }+14 x^{4} y^{\prime }+10 x^{3} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.829 |
|
| 10810 |
\begin{align*}
x^{\prime \prime }+2 x^{\prime }+10 x&={\mathrm e}^{-t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.829 |
|
| 10811 |
\begin{align*}
x^{\prime \prime }+2 x^{\prime }+10 x&={\mathrm e}^{-t} \cos \left (3 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.829 |
|
| 10812 |
\begin{align*}
y^{\prime }&=2 y+1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.829 |
|
| 10813 |
\begin{align*}
\sqrt {x}\, y^{\prime \prime }+y&=0 \\
\end{align*}
Series expansion around \(x=1\). |
✓ |
✓ |
✓ |
✓ |
0.829 |
|
| 10814 |
\begin{align*}
x^{\prime \prime }+16 x&=t \sin \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.829 |
|
| 10815 |
\begin{align*}
2 y-3 y^{\prime }+y^{\prime \prime }&=\sec \left ({\mathrm e}^{-x}\right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.829 |
|
| 10816 |
\begin{align*}
y^{\prime \prime }+y&=\sec \left (x \right ) \tan \left (x \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.829 |
|
| 10817 |
\begin{align*}
2 x y^{\prime \prime }+y^{\prime }-2 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.829 |
|
| 10818 |
\begin{align*}
y^{\prime \prime }+9 y&=12 \sec \left (3 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.829 |
|
| 10819 |
\begin{align*}
9 x^{2} \left (x^{2}+1\right ) y^{\prime \prime }+3 x \left (13 x^{2}+3\right ) y^{\prime }-\left (-25 x^{2}+1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.830 |
|
| 10820 |
\begin{align*}
y^{\prime \prime }-y&=\frac {1}{\sqrt {1-{\mathrm e}^{2 x}}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.830 |
|
| 10821 |
\begin{align*}
x^{4} y^{\prime \prime }&=y^{\prime } \left (y^{\prime }+x^{3}\right ) \\
y \left (1\right ) &= 2 \\
y^{\prime }\left (1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.830 |
|
| 10822 |
\begin{align*}
y^{\prime \prime }-x y^{\prime }-y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.830 |
|
| 10823 |
\begin{align*}
y^{\prime }&=\frac {1}{2 y+3} \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.830 |
|
| 10824 |
\begin{align*}
\frac {y^{\prime \prime }}{x}+\frac {3 \left (x -4\right ) y^{\prime }}{6+x}+\frac {x^{2} \left (x -2\right ) y}{x -1}&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.830 |
|
| 10825 |
\begin{align*}
x_{1}^{\prime }&=3 x_{1}-2 x_{2} \\
x_{2}^{\prime }&=-x_{1}+3 x_{2}-2 x_{3} \\
x_{3}^{\prime }&=-x_{2}+3 x_{3} \\
\end{align*}
With initial conditions \begin{align*}
x_{1} \left (0\right ) &= 0 \\
x_{2} \left (0\right ) &= 0 \\
x_{3} \left (0\right ) &= 4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.831 |
|
| 10826 |
\begin{align*}
x \left (y y^{\prime \prime }+{y^{\prime }}^{2}\right )&=y y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.831 |
|
| 10827 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime \prime }+3 x y^{\prime }+a y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.831 |
|
| 10828 |
\begin{align*}
\cos \left (x \right )^{2} y^{\prime \prime }&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.831 |
|
| 10829 |
\begin{align*}
x^{2} y^{\prime \prime }+x y^{\prime }+\left (-p^{2}+x^{2}\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.831 |
|
| 10830 |
\begin{align*}
x^{2} y^{\prime \prime }-x y^{\prime }-3 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.831 |
|
| 10831 |
\begin{align*}
y^{\prime \prime \prime }-7 y^{\prime \prime }+20 y^{\prime }-24 y&=-{\mathrm e}^{2 x} \left (\left (13-8 x \right ) \cos \left (2 x \right )-\left (8-4 x \right ) \sin \left (2 x \right )\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.832 |
|
| 10832 |
\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*}
With initial conditions \begin{align*}
x_{1} \left (0\right ) &= -4 \\
x_{2} \left (0\right ) &= 4 \\
x_{3} \left (0\right ) &= 4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.832 |
|
| 10833 |
\(\left [\begin {array}{ccc} 1 & 3 & -6 \\ 0 & 2 & 2 \\ 0 & -1 & 5 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
0.832 |
|
| 10834 |
\begin{align*}
y^{\prime \prime }+y&=2 \cos \left (x \right ) \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.832 |
|
| 10835 |
\begin{align*}
y^{\prime \prime }+y&=\frac {2}{\sin \left (x \right )^{3}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.832 |
|
| 10836 |
\begin{align*}
x^{\prime }&=y+z-x \\
y^{\prime }&=x-y+z \\
z^{\prime }&=x+y-z \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.832 |
|
| 10837 |
\begin{align*}
y^{\prime \prime }+y&=3 \cos \left (w t \right ) \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.832 |
|
| 10838 |
\begin{align*}
y^{2} \left (1+{y^{\prime }}^{2}\right )&=r^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.832 |
|
| 10839 |
\begin{align*}
x^{\prime }&=2 x+4 y \\
y^{\prime }&=-2 x+6 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.832 |
|
| 10840 |
\begin{align*}
x y^{\prime \prime }&=x^{2}+1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.832 |
|
| 10841 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=\frac {{\mathrm e}^{2 x}}{\left (1+{\mathrm e}^{x}\right )^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.832 |
|
| 10842 |
\begin{align*}
y+2 y^{\prime }+y^{\prime \prime }&={\mathrm e}^{3 x} \sin \left (3 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.832 |
|
| 10843 |
\begin{align*}
y^{\prime \prime }-y^{\prime }+y&=1 \\
y \left (1\right ) &= 4 \\
y^{\prime }\left (1\right ) &= -2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.832 |
|
| 10844 |
\begin{align*}
y_{1}^{\prime }&=-y_{1}+y_{2} \\
y_{2}^{\prime }&=y_{1}-y_{2}-2 y_{3} \\
y_{3}^{\prime }&=-y_{1}-y_{2}-y_{3} \\
\end{align*}
With initial conditions \begin{align*}
y_{1} \left (0\right ) &= 6 \\
y_{2} \left (0\right ) &= 5 \\
y_{3} \left (0\right ) &= -7 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.833 |
|
| 10845 |
\begin{align*}
y^{\prime \prime }-6 y^{\prime }+9 y&={\mathrm e}^{x} \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.833 |
|
| 10846 |
\begin{align*}
{y^{\prime }}^{2}+\left (b x +a \right ) y^{\prime }+c&=b y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.833 |
|
| 10847 |
\begin{align*}
y^{\prime \prime }+y^{\prime }&=x^{2}+2 x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.833 |
|
| 10848 |
\begin{align*}
y^{\prime \prime }+2 x y^{\prime }-y&=x \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.833 |
|
| 10849 |
\begin{align*}
x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-5\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.833 |
|
| 10850 |
\begin{align*}
y^{2} {y^{\prime }}^{2}-4 a y y^{\prime }+4 a^{2}-4 a x +y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.833 |
|
| 10851 |
\begin{align*}
y^{\prime \prime }+6 y^{\prime }+58 y&=0 \\
y \left (0\right ) &= -1 \\
y^{\prime }\left (0\right ) &= 5 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.833 |
|
| 10852 |
\begin{align*}
t y^{\prime }-{y^{\prime }}^{3}&=y \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.833 |
|
| 10853 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+k \left (1+k \right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.833 |
|
| 10854 |
\begin{align*}
x^{\prime }&=2 x+6 y+{\mathrm e}^{t} \\
y^{\prime }&=x+3 y-{\mathrm e}^{t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.833 |
|
| 10855 |
\begin{align*}
x_{1}^{\prime }&=2 x_{1}+x_{2}-x_{3} \\
x_{2}^{\prime }&=3 x_{1}-2 x_{2} \\
x_{3}^{\prime }&=3 x_{1}+x_{2}-3 x_{3} \\
\end{align*}
With initial conditions \begin{align*}
x_{1} \left (0\right ) &= 1 \\
x_{2} \left (0\right ) &= 7 \\
x_{3} \left (0\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.833 |
|
| 10856 |
\begin{align*}
2 x y^{\prime \prime }+3 y^{\prime }-y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.834 |
|
| 10857 |
\begin{align*}
y y^{\prime \prime }-y y^{\prime }&={y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.834 |
|
| 10858 |
\begin{align*}
x^{\prime }&=x+z \\
y^{\prime }&=y \\
z^{\prime }&=x+z \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.834 |
|
| 10859 |
\begin{align*}
y^{\prime \prime }-y&={\mathrm e}^{x} x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.834 |
|
| 10860 |
\begin{align*}
y^{\prime \prime }+16 y&=8 x +8 \sin \left (4 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.834 |
|
| 10861 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+y&=t \sin \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.834 |
|
| 10862 |
\begin{align*}
t y^{\prime \prime }-\left (t +1\right ) y^{\prime }+y&={\mathrm e}^{2 t} t^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.835 |
|
| 10863 |
\begin{align*}
y^{\prime \prime }+y&=\left \{\begin {array}{cc} t & 0\le t <1 \\ 2-t & 1\le t <2 \\ 0 & 2\le t <\infty \end {array}\right . \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.835 |
|
| 10864 |
\begin{align*}
y^{\prime \prime }+y&=\left \{\begin {array}{cc} 1 & 0\le t <3 \pi \\ 0 & 3 \pi \le t <\infty \end {array}\right . \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.835 |
|
| 10865 |
\begin{align*}
2 x^{2} \left (2 x^{2}+1\right ) y^{\prime \prime }+5 x \left (6 x^{2}+1\right ) y^{\prime }-\left (-40 x^{2}+2\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.835 |
|
| 10866 |
\begin{align*}
4 x^{2} \left (x +1\right ) y^{\prime \prime }+4 x^{2} y^{\prime }+\left (1-5 x \right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.835 |
|
| 10867 |
\begin{align*}
x_{1}^{\prime }&=x_{1}+x_{3} \\
x_{2}^{\prime }&=x_{2}-x_{3} \\
x_{3}^{\prime }&=-2 x_{1}-x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.835 |
|
| 10868 |
\begin{align*}
x^{2} y^{\prime \prime }+x \left (5-x \right ) y^{\prime }+4 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.835 |
|
| 10869 |
\begin{align*}
y^{\prime \prime }-2 y&=4 x^{2} {\mathrm e}^{x^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.835 |
|
| 10870 |
\begin{align*}
\sin \left (x \right )-\cos \left (x \right ) y-3 \sin \left (x \right ) y^{\prime }+3 \left (1+\cos \left (x \right )\right ) y^{\prime \prime }+\left (x +\sin \left (x \right )\right ) y^{\prime \prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.835 |
|
| 10871 |
\begin{align*}
2 {y^{\prime }}^{3}+{y^{\prime }}^{2}-y&=0 \\
\end{align*} |
✓ |
✓ |
✗ |
✓ |
0.835 |
|
| 10872 |
\begin{align*}
y+3 x y^{\prime }+9 x^{2} y^{\prime \prime }+6 x^{3} y^{\prime \prime \prime }+x^{4} y^{\prime \prime \prime \prime }&=4 x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.835 |
|
| 10873 |
\begin{align*}
x^{\prime \prime }-2 x&=2 \,{\mathrm e}^{t} \\
x \left (0\right ) &= 0 \\
x \left (a \right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.835 |
|
| 10874 |
\begin{align*}
\left (x +2\right )^{2} y^{\prime \prime }-y&=4 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.835 |
|
| 10875 |
\begin{align*}
x^{\prime }&=-10 x+y+7 z \\
y^{\prime }&=-9 x+4 y+5 z \\
z^{\prime }&=-17 x+y+12 z \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.835 |
|
| 10876 |
\begin{align*}
x^{\prime }+x&=1 \\
x \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.835 |
|
| 10877 |
\begin{align*}
x^{2} y^{\prime \prime }+x^{2} y^{\prime }-2 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.836 |
|
| 10878 |
\begin{align*}
2 y^{\prime \prime }-3 y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.836 |
|
| 10879 |
\begin{align*}
y^{\prime \prime }+4 x y^{\prime }+\left (4 x^{2}+2\right ) y&=4 \,{\mathrm e}^{-x \left (x +2\right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.836 |
|
| 10880 |
\begin{align*}
25 x^{2} y^{\prime \prime }+x \left (15+x \right ) y^{\prime }+\left (x +1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.836 |
|
| 10881 |
\begin{align*}
20 y-9 y^{\prime }+y^{\prime \prime }&=x^{2} {\mathrm e}^{3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.836 |
|
| 10882 |
\begin{align*}
y^{\prime \prime \prime \prime }&=\cos \left (x \right )+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.836 |
|
| 10883 |
\begin{align*}
5 y+2 y^{\prime }+y^{\prime \prime }&=6 \sin \left (2 x \right )+7 \cos \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.836 |
|
| 10884 |
\begin{align*}
y-t y^{\prime }&=-2 {y^{\prime }}^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.836 |
|
| 10885 |
\begin{align*}
x^{\prime }&=2 x+4 y+\cos \left (t \right ) \\
y^{\prime }&=-x-2 y+\sin \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.836 |
|
| 10886 |
\begin{align*}
y^{\prime \prime }&={\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.836 |
|
| 10887 |
\begin{align*}
x^{\prime }&=5 x+3 y+1 \\
y^{\prime }&=-6 x-4 y+{\mathrm e}^{t} \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 1 \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.836 |
|
| 10888 |
\begin{align*}
x \left ({y^{\prime }}^{2}+{\mathrm e}^{2 y}\right )&=-2 y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.836 |
|
| 10889 |
\begin{align*}
x^{2} \left (x^{2}+8\right ) y^{\prime \prime }+7 x \left (x^{2}+2\right ) y^{\prime }-\left (-9 x^{2}+2\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.837 |
|
| 10890 |
\begin{align*}
2 x^{2} \left (x +2\right ) y^{\prime \prime }+x^{2} y^{\prime }+\left (1-x \right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.837 |
|
| 10891 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }+2 y&=\sin \left (2 x \right ) x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.837 |
|
| 10892 |
\begin{align*}
{y^{\prime }}^{2}-\left (2-x \right ) y^{\prime }+1-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.837 |
|
| 10893 |
\begin{align*}
x y^{\prime \prime }-\left (2 x +1\right ) y^{\prime }+\left (x +1\right ) y&=x^{2}-x -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.837 |
|
| 10894 |
\begin{align*}
y^{\prime }+y^{\prime \prime \prime }&=2 x^{2}+4 \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.837 |
|
| 10895 |
\begin{align*}
x \left (x^{2}-4\right ) y^{\prime }&=1 \\
y \left (1\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.837 |
|
| 10896 |
\begin{align*}
x^{\prime }+6 x+3 y^{\prime }+2 y&=0 \\
x^{\prime }+5 x+2 y^{\prime }+3 y&=0 \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 2 \\
y \left (0\right ) &= 4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.837 |
|
| 10897 |
\begin{align*}
25 x^{2} y^{\prime \prime }+\left (2 x +4\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.837 |
|
| 10898 |
\begin{align*}
x^{2} y^{\prime \prime }+2 x y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.838 |
|
| 10899 |
\begin{align*}
y^{\prime }&=f \left (y\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.838 |
|
| 10900 |
\begin{align*}
\left (x^{2}-1\right ) y^{\prime \prime }-\left (4 x^{2}-3 x -5\right ) y^{\prime }+\left (4 x^{2}-6 x -5\right ) y&={\mathrm e}^{2 x} \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.838 |
|