| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 11701 |
\begin{align*}
y^{\prime \prime }-8 y^{\prime }+15 y&=9 x \,{\mathrm e}^{2 x} \\
y \left (0\right ) &= 5 \\
y^{\prime }\left (0\right ) &= 10 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.940 |
|
| 11702 |
\begin{align*}
u^{\prime }&=4 t \ln \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.940 |
|
| 11703 |
\begin{align*}
x y^{\prime \prime }&=3 y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.940 |
|
| 11704 |
\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*} |
✓ |
✓ |
✓ |
✓ |
0.940 |
|
| 11705 |
\begin{align*}
y^{\prime }&=x \\
y \left (0\right ) &= -3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.940 |
|
| 11706 |
\begin{align*}
4 y+y^{\prime \prime }&=x \sin \left (x \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.940 |
|
| 11707 |
\begin{align*}
x \sqrt {x^{2}+y^{2}}-\frac {x^{2} y y^{\prime }}{y-\sqrt {x^{2}+y^{2}}}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.941 |
|
| 11708 |
\begin{align*}
2 y^{\prime \prime }+y^{\prime }&=2 x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.941 |
|
| 11709 |
\begin{align*}
{y^{\prime }}^{3}-\left (y^{2}+2 x \right ) {y^{\prime }}^{2}+\left (x^{2}-y^{2}+2 x y^{2}\right ) y^{\prime }-\left (x^{2}-y^{2}\right ) y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.941 |
|
| 11710 |
\begin{align*}
y^{\prime \prime }+5 y^{\prime }+6 y&={\mathrm e}^{x} \\
y \left (0\right ) &= 5 \\
y^{\prime }\left (0\right ) &= 7 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.941 |
|
| 11711 |
\begin{align*}
x^{\prime }-4 y^{\prime }&=0 \\
2 x^{\prime }-3 y^{\prime }&=t +y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.941 |
|
| 11712 |
\begin{align*}
y^{\prime \prime }+36 y&=6 \sec \left (6 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.941 |
|
| 11713 |
\begin{align*}
\left (2 x^{2}+3 x \right ) y^{\prime \prime }+\left (3+6 x \right ) y^{\prime }+2 y&={\mathrm e}^{x} \left (x +1\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.941 |
|
| 11714 |
\begin{align*}
x^{\prime }&=a \left (b -x\right )-c f y \\
y^{\prime }&=d \left (x-y\right )-c f y-a y \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= b \\
y \left (0\right ) &= \frac {d b}{a +d} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.941 |
|
| 11715 |
\begin{align*}
y_{1}^{\prime }&=y_{1}+y_{2}+t^{2} \\
y_{2}^{\prime }&=-y_{1}+y_{2}+1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.941 |
|
| 11716 |
\begin{align*}
{y^{\prime }}^{3}-\left (y^{2}+2 x \right ) {y^{\prime }}^{2}+\left (x^{2}-y^{2}+2 x y^{2}\right ) y^{\prime }-\left (x^{2}-y^{2}\right ) y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.942 |
|
| 11717 |
\begin{align*}
x y^{\prime \prime }+\left (1-x \right ) y^{\prime }-y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.942 |
|
| 11718 |
\begin{align*}
x y^{\prime \prime }+\left (2 x -1\right ) y^{\prime }&=-4 x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.942 |
|
| 11719 |
\begin{align*}
x y^{\prime \prime }+y^{\prime }&=4 x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.943 |
|
| 11720 |
\begin{align*}
y^{\prime }+y&=x y^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.943 |
|
| 11721 |
\begin{align*}
3 y^{3}-y x -\left (x^{2}+6 x y^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.943 |
|
| 11722 |
\begin{align*}
x^{\prime }&=3-2 y \\
y^{\prime }&=2 x-2 t \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.943 |
|
| 11723 |
\begin{align*}
y^{\prime \prime }+\frac {y^{\prime }}{8}+4 y&=3 \cos \left (6 t \right ) \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.943 |
|
| 11724 |
\begin{align*}
x^{2} y^{\prime \prime }+y&=3 x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.943 |
|
| 11725 |
\begin{align*}
x_{1}^{\prime }&=x_{1}-4 x_{2}-2 x_{4} \\
x_{2}^{\prime }&=x_{2} \\
x_{3}^{\prime }&=6 x_{1}-12 x_{2}-x_{3}-6 x_{4} \\
x_{4}^{\prime }&=-4 x_{2}-x_{4} \\
\end{align*}
With initial conditions \begin{align*}
x_{1} \left (0\right ) &= 1 \\
x_{2} \left (0\right ) &= 1 \\
x_{3} \left (0\right ) &= 1 \\
x_{4} \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.944 |
|
| 11726 |
\begin{align*}
y^{\prime \prime }+9 y&=\sec \left (x \right ) \csc \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.944 |
|
| 11727 |
\begin{align*}
z^{2} y^{\prime \prime }-\frac {3 z y^{\prime }}{2}+\left (z +1\right ) y&=0 \\
\end{align*}
Series expansion around \(z=0\). |
✓ |
✓ |
✓ |
✓ |
0.944 |
|
| 11728 |
\begin{align*}
\left (2 x +1\right ) y-2 x^{2} y^{\prime }+x^{4} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.944 |
|
| 11729 |
\begin{align*}
\sin \left (x \right ) y^{\prime }&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.944 |
|
| 11730 |
\begin{align*}
y-\left (x +1\right ) y^{\prime }+x y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.944 |
|
| 11731 |
\begin{align*}
2 x^{\prime }-y^{\prime }&=t \\
3 x^{\prime }+2 y^{\prime }&=y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.944 |
|
| 11732 |
\begin{align*}
3 y^{\prime \prime }-2 y^{\prime }+4 y&=x \\
y \left (-1\right ) &= 2 \\
y^{\prime }\left (-1\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.944 |
|
| 11733 |
\begin{align*}
y^{\prime \prime }+\frac {8 y^{\prime }}{3 x}-\left (\frac {2}{3 x^{2}}-1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.944 |
|
| 11734 |
\begin{align*}
4 y+y^{\prime \prime }&=\cos \left (x \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.944 |
|
| 11735 |
\begin{align*}
x^{\prime }&=2 x-5 y \\
y^{\prime }&=a x-2 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.944 |
|
| 11736 |
\begin{align*}
y^{\prime \prime }+w^{2} y&=\cos \left (2 t \right ) \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.944 |
|
| 11737 |
\begin{align*}
x^{2} y^{\prime \prime }-2 y&=x^{2}+\frac {1}{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.944 |
|
| 11738 |
\begin{align*}
y^{\prime \prime }+y&=2 \cos \left (x \right )+1 \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.944 |
|
| 11739 |
\begin{align*}
4 t^{2} x^{\prime \prime }+4 x^{\prime } t -x&=0 \\
\end{align*}
Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
0.944 |
|
| 11740 |
\begin{align*}
y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.944 |
|
| 11741 |
\begin{align*}
{y^{\prime }}^{2}-{y^{\prime }}^{3}&=y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.944 |
|
| 11742 |
\begin{align*}
y_{1}^{\prime }-2 y_{1}+3 y_{2}-3 y_{3}&=0 \\
-4 y_{1}+y_{2}^{\prime }+5 y_{2}-3 y_{3}&=0 \\
-4 y_{1}+4 y_{2}+y_{3}^{\prime }-2 y_{3}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.945 |
|
| 11743 |
\begin{align*}
\cos \left (x \right ) \cos \left (y\right )^{2}+2 \sin \left (x \right ) \sin \left (y\right ) \cos \left (y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.945 |
|
| 11744 |
\begin{align*}
x^{\prime }&=3 x+2 y+4 z \\
y^{\prime }&=2 x+2 z \\
z^{\prime }&=4 x+2 y+3 z \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.945 |
|
| 11745 |
\begin{align*}
y+2 y^{\prime }+y^{\prime \prime }&=2 x^{3}-x \,{\mathrm e}^{3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.945 |
|
| 11746 |
\begin{align*}
x^{2} y^{\prime \prime }-2 x^{2} y^{\prime }+\left (x^{2}-2\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.945 |
|
| 11747 |
\begin{align*}
x^{\prime }&=3 x-2 y+2 t^{2} \\
y^{\prime }&=5 x+y-1 \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= {\frac {534}{2197}} \\
y \left (0\right ) &= {\frac {567}{2197}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.945 |
|
| 11748 |
\begin{align*}
2 t^{2} y^{\prime \prime }-t y^{\prime }+\left (t +1\right ) y&=0 \\
\end{align*}
Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
0.946 |
|
| 11749 |
\begin{align*}
y^{\prime \prime }&=\cos \left (y x \right ) \\
y \left (\frac {\pi }{2}\right ) &= 1 \\
y^{\prime }\left (\frac {\pi }{2}\right ) &= 1 \\
\end{align*}
Series expansion around \(x=\frac {\pi }{2}\). |
✓ |
✓ |
✓ |
✗ |
0.947 |
|
| 11750 |
\begin{align*}
y^{\prime \prime }+y&=\sec \left (x \right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.947 |
|
| 11751 |
\begin{align*}
2 y+a y^{3}+9 x^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.947 |
|
| 11752 |
\begin{align*}
x^{2} \left (x +1\right ) y^{\prime \prime }+x \left (x +1\right ) y^{\prime }-y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.947 |
|
| 11753 |
\begin{align*}
y^{\prime \prime }+3 x y^{\prime }+7 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.947 |
|
| 11754 |
\begin{align*}
y^{\prime \prime }+y^{\prime }&=\sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.947 |
|
| 11755 |
\begin{align*}
y^{\prime }&=4 x^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.947 |
|
| 11756 |
\begin{align*}
y \left (y x +2 x^{2} y^{2}\right )+x \left (y x -x^{2} y^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.947 |
|
| 11757 |
\begin{align*}
y^{\prime \prime }-y&={\mathrm e}^{-x^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.947 |
|
| 11758 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+4 y&=4 x \,{\mathrm e}^{2 x} \sin \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.948 |
|
| 11759 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&={\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.948 |
|
| 11760 |
\begin{align*}
a x y+2 y^{\prime }+x y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.948 |
|
| 11761 |
\begin{align*}
3 x^{2} y^{\prime \prime }-x y^{\prime }+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.948 |
|
| 11762 |
\begin{align*}
x y^{\prime \prime }+y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.948 |
|
| 11763 |
\begin{align*}
\left (3 x^{3}+x \right ) y^{\prime \prime }+2 y^{\prime }-6 y x&=-12 x^{2}+4 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.948 |
|
| 11764 |
\begin{align*}
2 x^{2} y^{\prime \prime }+5 x y^{\prime }+\left (x +1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.949 |
|
| 11765 |
\begin{align*}
x^{\prime }+x+2 y&=8 \\
2 x+y^{\prime }-2 y&=2 \,{\mathrm e}^{-t}-8 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.949 |
|
| 11766 |
\begin{align*}
x^{\prime }&=-2 x-3 y \\
y^{\prime }&=-x+4 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.949 |
|
| 11767 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+4 y&=\cos \left (4 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.949 |
|
| 11768 |
\(\left [\begin {array}{ccc} -5 & -12 & 6 \\ 1 & 5 & -1 \\ -7 & -10 & 8 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
0.949 |
|
| 11769 |
\begin{align*}
x^{\prime }&=x+2 y \\
y^{\prime }&=2 x+2 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.949 |
|
| 11770 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+\lambda \left (1+\lambda \right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.949 |
|
| 11771 |
\begin{align*}
y^{\prime \prime }+y&=12 \cos \left (2 x \right )-\sin \left (3 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.949 |
|
| 11772 |
\begin{align*}
x_{1}^{\prime }&=x_{1}+2 x_{2} \\
x_{2}^{\prime }&=-5 x_{1} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.950 |
|
| 11773 |
\begin{align*}
\left (x^{2}+4\right ) y^{\prime \prime }+x y^{\prime }-9 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.950 |
|
| 11774 |
\begin{align*}
y^{\prime }&=x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.950 |
|
| 11775 |
\begin{align*}
\left (2 x^{2}-3\right ) y^{\prime \prime }-2 x y^{\prime }+y&=0 \\
y \left (0\right ) &= -1 \\
y^{\prime }\left (0\right ) &= 5 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.950 |
|
| 11776 |
\begin{align*}
{y^{\prime }}^{3}&=y^{4} \left (x y^{\prime }+y\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.950 |
|
| 11777 |
\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 \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.951 |
|
| 11778 |
\(\left [\begin {array}{ccc} 1 & -1 & -1 \\ 1 & 3 & 1 \\ -3 & -6 & 6 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
0.951 |
|
| 11779 |
\begin{align*}
y^{\prime \prime }-6 y^{\prime }+9 y&=16 \,{\mathrm e}^{-x}+9 x -6 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.951 |
|
| 11780 |
\begin{align*}
y^{\prime \prime \prime }+3 y^{\prime \prime }+3 y^{\prime }+y&=12 \,{\mathrm e}^{-t} \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
y^{\prime \prime }\left (0\right ) &= -3 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.951 |
|
| 11781 |
\begin{align*}
4 y^{2} {y^{\prime }}^{3}-2 x y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.951 |
|
| 11782 |
\begin{align*}
3 x^{2} y^{\prime \prime }+x \left (7+3 x \right ) y^{\prime }+\left (1+6 x \right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.952 |
|
| 11783 |
\begin{align*}
y^{2} {y^{\prime }}^{2}+2 x y y^{\prime }+a -y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.952 |
|
| 11784 |
\begin{align*}
x^{\prime }&=y+z+{\mathrm e}^{-t} \\
y^{\prime }&=x+z \\
z^{\prime }&=x+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.953 |
|
| 11785 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime \prime }-{\mathrm e}^{x} y^{\prime }+y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.953 |
|
| 11786 |
\begin{align*}
x^{\prime \prime }+x {x^{\prime }}^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.953 |
|
| 11787 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+5 y&=t \cos \left (2 t \right ) \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.953 |
|
| 11788 |
\begin{align*}
x y^{\prime \prime }+y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.953 |
|
| 11789 |
\begin{align*}
y^{\prime \prime }-5 y^{\prime }&=3 x^{2}+\sin \left (5 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.953 |
|
| 11790 |
\begin{align*}
\left (2 x^{3}+6 x^{2}\right ) y^{\prime \prime }+21 x y^{\prime }+9 \left (x^{2}-1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.954 |
|
| 11791 |
\begin{align*}
y^{\prime \prime }+y&=x \cos \left (x \right )^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.954 |
|
| 11792 |
\begin{align*}
12 x^{2} \left (x +1\right ) y^{\prime \prime }+x \left (3 x^{2}+35 x +11\right ) y^{\prime }-\left (-5 x^{2}-10 x +1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.954 |
|
| 11793 |
\begin{align*}
2 t^{2} y^{\prime \prime }+3 t y^{\prime }-\left (t +1\right ) y&=0 \\
\end{align*}
Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
0.954 |
|
| 11794 |
\begin{align*}
y-x y^{\prime }+{y^{\prime }}^{2}+y y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.954 |
|
| 11795 |
\begin{align*}
x y^{\prime \prime }+\left (\frac {1}{2}-x \right ) y^{\prime }-y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.954 |
|
| 11796 |
\begin{align*}
y^{\prime \prime }+y^{\prime }&=x^{3}+x^{2}+x +1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.954 |
|
| 11797 |
\begin{align*}
\left (-2 y+1\right ) {y^{\prime }}^{2}+\left (1+y^{2}\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.954 |
|
| 11798 |
\begin{align*}
a y-x^{5} y^{\prime }+x^{6} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.954 |
|
| 11799 |
\begin{align*}
y&=x y^{\prime }+{y^{\prime }}^{2} \\
y \left (2\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.954 |
|
| 11800 |
\begin{align*}
x^{\prime }&=-10 x+10 y \\
y^{\prime }&=28 x-y \\
z^{\prime }&=-\frac {8 z}{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.954 |
|