| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 10701 |
\begin{align*}
{y^{\prime }}^{2}-2 a \,x^{3} y^{\prime }+4 a \,x^{2} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.816 |
|
| 10702 |
\begin{align*}
-3 y^{\prime }-2 y^{\prime \prime }+y^{\prime \prime \prime }&=3 x^{2}+\sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.816 |
|
| 10703 |
\begin{align*}
-4 y-14 x y^{\prime }+\left (-8 x^{2}+3\right ) y^{\prime \prime }+x \left (-x^{2}+1\right ) y^{\prime \prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.816 |
|
| 10704 |
\begin{align*}
y^{\prime \prime }-9 y&={\mathrm e}^{3 x}+\sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.816 |
|
| 10705 |
\begin{align*}
5 y+2 y^{\prime }+y^{\prime \prime }&={\mathrm e}^{-x} \sec \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.816 |
|
| 10706 |
\begin{align*}
{y^{\prime \prime }}^{2}+y^{\prime }&=x \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.816 |
|
| 10707 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }+2 y&=\frac {1}{1+{\mathrm e}^{x}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.816 |
|
| 10708 |
\begin{align*}
x^{\prime }&=4 x+3 y-6 \,{\mathrm e}^{3 t} \\
y^{\prime }&=x+6 y+2 \,{\mathrm e}^{3 t} \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 4 \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.816 |
|
| 10709 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+4 y&={\mathrm e}^{2 t} \arctan \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.816 |
|
| 10710 |
\begin{align*}
x^{\prime }&=y \\
y^{\prime }&=z \\
z^{\prime }&=x \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 1 \\
y \left (0\right ) &= 1 \\
z \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.816 |
|
| 10711 |
\begin{align*}
y_{1}^{\prime }&=y_{2}+t \\
y_{2}^{\prime }&=-y_{1}-t \\
\end{align*}
With initial conditions \begin{align*}
y_{1} \left (0\right ) &= 1 \\
y_{2} \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.816 |
|
| 10712 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+4 y&=4 \cos \left (3 t \right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 6 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.816 |
|
| 10713 |
\begin{align*}
\left (x -2\right ) y^{\prime \prime }+y^{\prime }-y&=0 \\
\end{align*}
Series expansion around \(x=-2\). |
✓ |
✓ |
✓ |
✓ |
0.817 |
|
| 10714 |
\begin{align*}
2 y^{\prime }+y x -y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.817 |
|
| 10715 |
\begin{align*}
y_{1}^{\prime }&=y_{2}-y_{1} \\
y_{2}^{\prime }&=3 y_{1}-4 y_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.818 |
|
| 10716 |
\begin{align*}
2 y^{3} y^{\prime }+x y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.818 |
|
| 10717 |
\begin{align*}
\left (2 x^{2}+6 x +4\right ) y^{\prime \prime }+\left (10 x^{2}+21 x +8\right ) y^{\prime }+\left (12 x^{2}+17 x +8\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.818 |
|
| 10718 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }+2 y&=\frac {{\mathrm e}^{-x}}{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.818 |
|
| 10719 |
\begin{align*}
y^{\prime }&=\sin \left (x \right )^{4} \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.818 |
|
| 10720 |
\begin{align*}
a \,x^{k} y+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.819 |
|
| 10721 |
\begin{align*}
y^{\prime \prime }-y&=\cosh \left (x \right ) \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.819 |
|
| 10722 |
\begin{align*}
x^{2} \left (x +1\right ) y^{\prime \prime }-\left (2 x +1\right ) \left (x y^{\prime }-y\right )&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.819 |
|
| 10723 |
\begin{align*}
x y^{\prime \prime }+\left (x^{3}+1\right ) y^{\prime }+b x y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.819 |
|
| 10724 |
\begin{align*}
-8 y+2 x y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.819 |
|
| 10725 |
\begin{align*}
x^{\prime \prime }+x^{\prime }+x&=0 \\
x \left (0\right ) &= 1 \\
x^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.819 |
|
| 10726 |
\begin{align*}
\left (2 x^{2}+2 x \right ) y^{\prime \prime }+\left (1+5 x \right ) y^{\prime }+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.819 |
|
| 10727 |
\begin{align*}
y^{\prime \prime }-4 y&={\mathrm e}^{2 x} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.819 |
|
| 10728 |
\begin{align*}
x^{\prime }+5 x-4 y&=0 \\
y^{\prime }-x+2 y&=0 \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 3 \\
y \left (0\right ) &= -2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.819 |
|
| 10729 |
\begin{align*}
y^{\prime \prime }+4 y&=t \sin \left (2 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.820 |
|
| 10730 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime \prime }+2 x \left (y^{\prime }+1\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.820 |
|
| 10731 |
\begin{align*}
y^{\prime \prime }+y&={\mathrm e}^{-x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.820 |
|
| 10732 |
\begin{align*}
y {y^{\prime }}^{2}+y^{2} y^{\prime \prime }&=b x +a \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.820 |
|
| 10733 |
\begin{align*}
\left (y+1\right ) y^{\prime \prime }&=3 {y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.820 |
|
| 10734 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=2 \cos \left (x \right ) \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.820 |
|
| 10735 |
\begin{align*}
y^{\prime }&=\frac {1}{x -1} \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.820 |
|
| 10736 |
\begin{align*}
\left (2 x -1\right ) y^{\prime \prime }-2 y^{\prime }+\left (3-2 x \right ) y&=2 \,{\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.820 |
|
| 10737 |
\begin{align*}
y^{\prime \prime }-y x&=0 \\
\end{align*}
Series expansion around \(x=1\). |
✓ |
✓ |
✓ |
✓ |
0.820 |
|
| 10738 |
\begin{align*}
x^{\prime }+y^{\prime }-x&=0 \\
x^{\prime }+2 y^{\prime }&=4 \,{\mathrm e}^{t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.820 |
|
| 10739 |
\begin{align*}
x_{1}^{\prime }&=2 x_{1}-5 x_{2}+5 \sin \left (t \right ) \\
x_{2}^{\prime }&=x_{1}-2 x_{2} \\
\end{align*}
With initial conditions \begin{align*}
x_{1} \left (0\right ) &= 10 \\
x_{2} \left (0\right ) &= 5 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.820 |
|
| 10740 |
\begin{align*}
{y^{\prime }}^{2}+\left (x +a \right ) y^{\prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.821 |
|
| 10741 |
\begin{align*}
\left (x +1\right ) y^{\prime \prime }-\left (2-x \right ) y^{\prime }+y&=0 \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= -1 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.821 |
|
| 10742 |
\begin{align*}
-2 y+\left (x^{2}+1\right ) y^{\prime \prime }&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.821 |
|
| 10743 |
\begin{align*}
y^{\prime \prime }+x y^{\prime }+\left (2 x -1\right ) y&=0 \\
y \left (-1\right ) &= 2 \\
y^{\prime }\left (-1\right ) &= -2 \\
\end{align*}
Series expansion around \(x=-1\). |
✓ |
✓ |
✓ |
✓ |
0.821 |
|
| 10744 |
\begin{align*}
y^{\prime \prime }+7 y^{\prime }+12 y&={\mathrm e}^{-3 x} \sec \left (x \right )^{2} \left (1+2 \tan \left (x \right )\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.821 |
|
| 10745 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }+5 y&=5 \sin \left (2 x \right ) {\mathrm e}^{-x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.822 |
|
| 10746 |
\begin{align*}
y^{\prime \prime }+y&=\sec \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.822 |
|
| 10747 |
\begin{align*}
y^{\prime \prime \prime }-3 y^{\prime \prime }+4 y^{\prime }-2 y&={\mathrm e}^{x}+\cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.822 |
|
| 10748 |
\begin{align*}
x^{\prime }&=4 x+5 y \\
y^{\prime }&=-2 x+6 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.822 |
|
| 10749 |
\begin{align*}
\left (t^{2}+9\right ) y^{\prime \prime }+2 t y^{\prime }&=0 \\
y \left (3\right ) &= 2 \pi \\
y^{\prime }\left (3\right ) &= {\frac {2}{3}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.822 |
|
| 10750 |
\begin{align*}
y y^{\prime \prime }-{y^{\prime }}^{2}+f^{\prime }\left (x \right ) y^{\prime }-y f^{\prime \prime }\left (x \right )+f \left (x \right ) y^{3}-y^{4}&=0 \\
\end{align*} |
✗ |
✗ |
✓ |
✗ |
0.822 |
|
| 10751 |
\begin{align*}
9 y^{\prime \prime }-6 y^{\prime }+y&=0 \\
y \left (0\right ) &= 3 \\
y^{\prime }\left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.822 |
|
| 10752 |
\begin{align*}
y^{\prime \prime }+6 y^{\prime }+13 y&=0 \\
y \left (0\right ) &= 3 \\
y^{\prime }\left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.822 |
|
| 10753 |
\begin{align*}
x^{\prime }&=3 x+y+{\mathrm e}^{t} \\
y^{\prime }&=x+3 y-{\mathrm e}^{t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.822 |
|
| 10754 |
\begin{align*}
y^{\prime \prime }&={\mathrm e}^{y} y^{\prime } \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
0.822 |
|
| 10755 |
\begin{align*}
y^{\prime }&=2 x -y \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.822 |
|
| 10756 |
\begin{align*}
y^{\prime \prime }+y&=\sec \left (x \right ) \csc \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.822 |
|
| 10757 |
\begin{align*}
y^{\prime }+3 y&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.823 |
|
| 10758 |
\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 \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.823 |
|
| 10759 |
\begin{align*}
{\mathrm e}^{x} \sin \left (y\right )+{\mathrm e}^{-y}-\left (x \,{\mathrm e}^{-y}-{\mathrm e}^{x} \cos \left (y\right )\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.823 |
|
| 10760 |
\begin{align*}
x^{\prime }&=3 x-5 y \\
y^{\prime }&=-x+2 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.823 |
|
| 10761 |
\begin{align*}
c y^{\prime }&=a x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.823 |
|
| 10762 |
\begin{align*}
x^{2} y^{\prime \prime }-2 x y^{\prime }+\left (x^{2}+2\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.823 |
|
| 10763 |
\begin{align*}
x^{2} y^{\prime \prime }-2 x y^{\prime }+\left (-x^{2}+2\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.823 |
|
| 10764 |
\begin{align*}
x^{\prime }&=y \\
y^{\prime }&=-x+\sin \left (2 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.823 |
|
| 10765 |
\begin{align*}
y^{\prime \prime }+y&=\sec \left (x \right )^{2} \csc \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.823 |
|
| 10766 |
\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*} |
✓ |
✓ |
✓ |
✓ |
0.824 |
|
| 10767 |
\begin{align*}
y^{\prime \prime }+y&=4 \cos \left (2 x \right )+3 \,{\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.824 |
|
| 10768 |
\begin{align*}
x_{1}^{\prime }&=-6 x_{1}+x_{2}+1 \\
x_{2}^{\prime }&=6 x_{1}-5 x_{2}+{\mathrm e}^{-t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.824 |
|
| 10769 |
\begin{align*}
x \left (1-x \right ) y^{\prime \prime }+\left (\frac {3}{2}-2 x \right ) y^{\prime }-\frac {y}{4}&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.824 |
|
| 10770 |
\begin{align*}
x -y^{2}+2 x y y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.824 |
|
| 10771 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }+2 y&={\mathrm e}^{x} \sin \left (\frac {x}{2}\right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.824 |
|
| 10772 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+y&=3 \,{\mathrm e}^{-t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.824 |
|
| 10773 |
\begin{align*}
x_{1}^{\prime }&=x_{1}+2 x_{2}+x_{3} \\
x_{2}^{\prime }&=6 x_{1}-x_{2} \\
x_{3}^{\prime }&=-x_{1}-2 x_{2}-x_{3} \\
\end{align*}
With initial conditions \begin{align*}
x_{1} \left (0\right ) &= 1 \\
x_{2} \left (0\right ) &= 2 \\
x_{3} \left (0\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.825 |
|
| 10774 |
\begin{align*}
x_{1}^{\prime }&=147 x_{1}+23 x_{2}-202 x_{3} \\
x_{2}^{\prime }&=-90 x_{1}-9 x_{2}+129 x_{3} \\
x_{3}^{\prime }&=90 x_{1}+15 x_{2}-123 x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.825 |
|
| 10775 |
\begin{align*}
3 x^{2} \left (x^{2}+1\right ) y^{\prime \prime }+5 x \left (x^{2}+1\right ) y^{\prime }-\left (-5 x^{2}+1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.825 |
|
| 10776 |
\begin{align*}
x \left (1-x \right ) y^{\prime \prime }+\frac {\left (1-2 x \right ) y^{\prime }}{3}+\frac {20 y}{9}&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.825 |
|
| 10777 |
\begin{align*}
y^{\prime }&=y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.825 |
|
| 10778 |
\begin{align*}
2 \left (x^{3}+x^{2}\right ) y^{\prime \prime }-\left (-3 x^{2}+x \right ) y^{\prime }+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.825 |
|
| 10779 |
\begin{align*}
x^{\prime \prime }-4 x^{\prime }+4 x&=0 \\
x \left (0\right ) &= 1 \\
x^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.825 |
|
| 10780 |
\begin{align*}
y^{\prime \prime }+{y^{\prime }}^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.825 |
|
| 10781 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=x \,{\mathrm e}^{x}+7 x -2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.825 |
|
| 10782 |
\begin{align*}
y^{\prime \prime }+y&=\tan \left (x \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.825 |
|
| 10783 |
\begin{align*}
x^{2} y^{\prime \prime }-x \left (3-2 x \right ) y^{\prime }+\left (3 x +4\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.826 |
|
| 10784 |
\begin{align*}
y^{\prime \prime \prime }-y^{\prime \prime }+y^{\prime }-y&=5 \,{\mathrm e}^{2 x}+2 \,{\mathrm e}^{x}-4 \cos \left (x \right )+4 \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.826 |
|
| 10785 |
\begin{align*}
x_{1}^{\prime }&=-3 x_{1}-x_{2} \\
x_{2}^{\prime }&=4 x_{1}-7 x_{2} \\
x_{3}^{\prime }&=6 x_{1}+6 x_{2}+4 x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.826 |
|
| 10786 |
\begin{align*}
y^{\left (5\right )}-\frac {y^{\prime \prime \prime \prime }}{t}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.826 |
|
| 10787 |
\begin{align*}
y^{\prime \prime }&={\mathrm e}^{2 y} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.826 |
|
| 10788 |
\begin{align*}
y^{\prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.826 |
|
| 10789 |
\begin{align*}
x^{2} y^{\prime \prime }+2 x y^{\prime }-6 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.826 |
|
| 10790 |
\begin{align*}
4-4 y&=\left (3 y-2\right )^{2} {y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.826 |
|
| 10791 |
\begin{align*}
6 x y^{3}+2 y^{4}+\left (9 x^{2} y^{2}+8 x y^{3}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.827 |
|
| 10792 |
\begin{align*}
\left (x^{2}+2 x \right ) y^{\prime \prime }-2 \left (x +1\right ) y^{\prime }+2 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.827 |
|
| 10793 |
\begin{align*}
4 x^{\prime }+9 y^{\prime }+44 x+49 y&=t \\
3 x^{\prime }+7 y^{\prime }+34 x+38 y&={\mathrm e}^{t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.827 |
|
| 10794 |
\begin{align*}
y+2 y^{\prime }+y^{\prime \prime }&=5+10 \sin \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.827 |
|
| 10795 |
\begin{align*}
\sqrt {-x^{2}+1}\, y^{\prime \prime }+\sqrt {1-{y^{\prime }}^{2}}&=0 \\
\end{align*} |
✓ |
✗ |
✓ |
✗ |
0.827 |
|
| 10796 |
\begin{align*}
y^{\prime \prime }+9 y&=\sin \left (x \right )^{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.828 |
|
| 10797 |
\begin{align*}
x y^{\prime \prime }-\left (2 x +1\right ) y^{\prime }+\left (x +1\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.828 |
|
| 10798 |
\begin{align*}
y^{\prime \prime }&=-\frac {a y}{\left (x^{2}+1\right )^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.828 |
|
| 10799 |
\begin{align*}
y^{\prime \prime \prime }-6 y^{\prime \prime }+12 y^{\prime }-8 y&=x \,{\mathrm e}^{2 x}+x^{2} {\mathrm e}^{3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.828 |
|
| 10800 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=\frac {{\mathrm e}^{x}}{x} \\
y \left (1\right ) &= {\mathrm e} \\
y^{\prime }\left (1\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.828 |
|