| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 11001 |
\begin{align*}
c y^{\prime }+\left (b x +a \right ) y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.797 |
|
| 11002 |
\begin{align*}
x^{2} y^{\prime \prime }+y^{\prime } x +\left (x^{2}-\frac {1}{9}\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.797 |
|
| 11003 |
\begin{align*}
x_{1}^{\prime }&=3 x_{1}-2 x_{2} \\
x_{2}^{\prime }&=x_{1} \\
\end{align*} With initial conditions \begin{align*}
x_{1} \left (0\right ) &= -1 \\
x_{2} \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.797 |
|
| 11004 |
\begin{align*}
t y^{\prime \prime }+y^{\prime }-4 y&=0 \\
\end{align*} Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
0.798 |
|
| 11005 |
\begin{align*}
x y y^{\prime \prime }&=y^{\prime }+{y^{\prime }}^{3} \\
\end{align*} |
✗ |
✗ |
✓ |
✗ |
0.798 |
|
| 11006 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+y&=\sin \left (x \right ) \\
y^{\prime }\left (1\right ) &= 0 \\
y \left (2\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.798 |
|
| 11007 |
\begin{align*}
y^{\prime }&=1-2 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.798 |
|
| 11008 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+20 y&=x^{3} \sin \left (4 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.798 |
|
| 11009 |
\begin{align*}
a \cos \left (x \right ) y-\sin \left (x \right ) y^{2}+\left (b \cos \left (x \right ) y-x \sin \left (x \right ) y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.799 |
|
| 11010 |
\begin{align*}
x^{2} y^{\prime \prime }-4 y^{\prime } x +\left (x^{2}+6\right ) y&=x^{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.799 |
|
| 11011 |
\begin{align*}
y_{1}^{\prime }&=y_{1}-y_{2}-2 y_{3} \\
y_{2}^{\prime }&=y_{1}-2 y_{2}-3 y_{3} \\
y_{3}^{\prime }&=-4 y_{1}+y_{2}-y_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.799 |
|
| 11012 |
\begin{align*}
x {y^{\prime }}^{2}+\left (x -y\right ) y^{\prime }+1-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.799 |
|
| 11013 |
\begin{align*}
y^{\prime \prime }+y^{\prime } x -2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.799 |
|
| 11014 |
\begin{align*}
x^{\prime }&=3 x+y \\
y^{\prime }&=-x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.799 |
|
| 11015 |
\begin{align*}
y^{\prime \prime }+y&=\sin \left (3 x \right )-\cos \left (\frac {x}{2}\right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.799 |
|
| 11016 |
\begin{align*}
x^{\prime \prime }&=x^{3}-x \\
x \left (0\right ) &= 0 \\
x^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
0.799 |
|
| 11017 |
\begin{align*}
x^{\prime }+5 x+3 y^{\prime }-11 y&=0 \\
x^{\prime }+3 x+y^{\prime }-7 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.799 |
|
| 11018 |
\begin{align*}
r^{\prime }&=-a \sin \left (\theta \right ) \\
r \left (0\right ) &= 2 a \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.799 |
|
| 11019 |
\begin{align*}
x_{1}^{\prime }&=-x_{1}-x_{2}-1 \\
x_{2}^{\prime }&=2 x_{1}-x_{2}+5 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.800 |
|
| 11020 |
\begin{align*}
2 \left (x +3\right ) x^{2} y^{\prime \prime }+x \left (5 x +1\right ) y^{\prime }+\left (x +1\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.800 |
|
| 11021 |
\begin{align*}
y^{\prime \prime }+9 y&=\csc \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.800 |
|
| 11022 |
\begin{align*}
y^{\prime \prime }+\frac {\left (x -1\right ) y^{\prime }}{x \left (x +1\right )}-\frac {y}{x \left (x +1\right )}&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.800 |
|
| 11023 |
\begin{align*}
2 y y^{\prime }+2 x +x^{2}+y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.800 |
|
| 11024 |
\begin{align*}
x^{2} y^{\prime \prime }-y^{\prime } x&={\mathrm e}^{x} x^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.800 |
|
| 11025 |
\begin{align*}
\left (x^{2}-1\right ) y^{\prime }&=1 \\
y \left (2\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.800 |
|
| 11026 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }&=2 \cos \left (4 x \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.800 |
|
| 11027 |
\begin{align*}
x^{\prime }&=y+{\mathrm e}^{t} \\
y^{\prime }&=-2 x+3 y+1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.800 |
|
| 11028 |
\begin{align*}
a^{2} x^{-1+a} y+\left (-2 a +1\right ) x^{a} y^{\prime }+x^{1+a} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.801 |
|
| 11029 |
\begin{align*}
u^{\prime \prime }+\frac {2 u^{\prime }}{x}-a^{2} u&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.801 |
|
| 11030 |
\begin{align*}
y^{\prime \prime }-2 a x \left (1+{y^{\prime }}^{2}\right )^{{3}/{2}}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.801 |
|
| 11031 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+10 y&=5 \,{\mathrm e}^{-2 x} x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.801 |
|
| 11032 |
\begin{align*}
y^{\prime \prime } x +y^{\prime }&=x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.801 |
|
| 11033 |
\begin{align*}
y^{\prime \prime }-y&={\mathrm e}^{-x} \left (2 \sin \left (x \right )+4 \cos \left (x \right )\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.801 |
|
| 11034 |
\begin{align*}
9 y^{2} {y^{\prime }}^{2}-3 y^{\prime } x +y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.801 |
|
| 11035 |
\begin{align*}
4 x^{2} y^{\prime \prime }+4 x \left (2 x +1\right ) y^{\prime }+\left (4 x -1\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.802 |
|
| 11036 |
\begin{align*}
y^{\prime }+y^{\prime \prime \prime }&=\sec \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.802 |
|
| 11037 |
\begin{align*}
y^{\prime }&=y^{2} \left (4-y^{2}\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.802 |
|
| 11038 |
\begin{align*}
x^{\prime }&=x+y+4 z \\
y^{\prime }&=2 y \\
z^{\prime }&=x+y+z \\
\end{align*} With initial conditions \begin{align*}
x \left (0\right ) &= 1 \\
y \left (0\right ) &= 3 \\
z \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.802 |
|
| 11039 |
\begin{align*}
y&=x \left (1+y^{\prime }\right )+{y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.802 |
|
| 11040 |
\begin{align*}
4 x^{2} y^{\prime \prime }+\left (1-4 x \right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.802 |
|
| 11041 |
\begin{align*}
\left (2 x^{2}+2\right ) y^{\prime \prime }+2 y^{\prime } x -3 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.802 |
|
| 11042 |
\begin{align*}
x_{1}^{\prime }&=-x_{3} \\
x_{2}^{\prime }&=2 x_{1} \\
x_{3}^{\prime }&=-x_{1}+2 x_{2}+4 x_{3} \\
\end{align*} With initial conditions \begin{align*}
x_{1} \left (0\right ) &= 7 \\
x_{2} \left (0\right ) &= 5 \\
x_{3} \left (0\right ) &= 5 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.802 |
|
| 11043 |
\begin{align*}
y^{\prime \prime }+\frac {2 y^{\prime }}{x}+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.802 |
|
| 11044 |
\begin{align*}
y&=2 y^{\prime } x +y^{2} {y^{\prime }}^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.802 |
|
| 11045 |
\begin{align*}
x^{\prime }&=2 x+y \\
y^{\prime }&=-3 x+6 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.802 |
|
| 11046 |
\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. |
✓ |
✓ |
✓ |
✓ |
0.803 |
|
| 11047 |
\begin{align*}
x_{1}^{\prime }&=2 x_{1}+x_{3}+{\mathrm e}^{2 t} \\
x_{2}^{\prime }&=2 x_{2} \\
x_{3}^{\prime }&=3 x_{3}+{\mathrm e}^{2 t} \\
\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 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.803 |
|
| 11048 |
\begin{align*}
y^{\prime \prime }&=\sin \left (y x \right ) \\
y \left (\frac {\pi }{2}\right ) &= 1 \\
y^{\prime }\left (\frac {\pi }{2}\right ) &= 1 \\
\end{align*} Series expansion around \(x=\frac {\pi }{2}\). |
✓ |
✓ |
✓ |
✗ |
0.803 |
|
| 11049 |
\begin{align*}
x_{1}^{\prime }&=2 x_{1}-x_{2}+x_{3} \\
x_{2}^{\prime }&=x_{1}+2 x_{2}-x_{3} \\
x_{3}^{\prime }&=x_{1}-x_{2}+2 x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.803 |
|
| 11050 |
\begin{align*}
x^{2}+y^{2}+x +y y^{\prime } x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.803 |
|
| 11051 |
\begin{align*}
y^{\prime }&={\mathrm e}^{\mu x} \left (y-b \,{\mathrm e}^{\lambda x}\right )^{2}+b \lambda \,{\mathrm e}^{\lambda x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.803 |
|
| 11052 |
\begin{align*}
x^{\prime \prime }-2 x&=1 \\
x \left (0\right ) &= 1 \\
x^{\prime }\left (0\right ) &= 0 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.803 |
|
| 11053 |
\begin{align*}
y^{\prime }&=-x^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.803 |
|
| 11054 |
\begin{align*}
y^{\prime }&=y-y^{2} \\
y \left (0\right ) &= -{\frac {1}{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.803 |
|
| 11055 |
\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. |
✓ |
✓ |
✓ |
✓ |
0.803 |
|
| 11056 |
\begin{align*}
4 y {y^{\prime }}^{2}-2 y^{\prime } x +y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.803 |
|
| 11057 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+17 y&=\frac {64 \,{\mathrm e}^{-x}}{3+\sin \left (4 x \right )^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.804 |
|
| 11058 |
\begin{align*}
b \,{\mathrm e}^{k x} y+a y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.804 |
|
| 11059 |
\begin{align*}
y y^{\prime \prime }+{y^{\prime }}^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.804 |
|
| 11060 |
\begin{align*}
x^{\prime }&=a x+10 y \\
y^{\prime }&=-x-4 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.804 |
|
| 11061 |
\begin{align*}
4 x^{2} y^{\prime \prime }+4 x \left (1-x \right ) y^{\prime }+\left (2 x -9\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.805 |
|
| 11062 |
\begin{align*}
y^{\prime \prime }+\sin \left (x \right ) y^{\prime }+\cos \left (x \right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.805 |
|
| 11063 |
\begin{align*}
y^{\prime \prime } x +y^{\prime }+p x y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.805 |
|
| 11064 |
\begin{align*}
x^{\prime \prime }+4 x^{\prime }+3 x&={\mathrm e}^{-3 t} \\
x \left (0\right ) &= {\frac {1}{2}} \\
x^{\prime }\left (0\right ) &= -2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.805 |
|
| 11065 |
\begin{align*}
y^{\prime }&=y \left (y-3\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.805 |
|
| 11066 |
\begin{align*}
y^{\prime \prime }+y^{\prime } x +3 y&=x^{2} \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.805 |
|
| 11067 |
\begin{align*}
y^{\prime \prime }-x^{3} y-x^{3}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.805 |
|
| 11068 |
\begin{align*}
y^{\prime \prime }+y^{\prime }&=x^{2}-{\mathrm e}^{-x}+{\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.805 |
|
| 11069 |
\begin{align*}
y^{\prime \prime }+2 n \cot \left (x n \right ) y^{\prime }+\left (m^{2}-n^{2}\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.805 |
|
| 11070 |
\begin{align*}
x^{2} y^{\prime \prime }+4 y^{\prime } x +2 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.805 |
|
| 11071 |
\begin{align*}
x^{\prime }&=4 x+2 y \\
y^{\prime }&=-3 x-y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.805 |
|
| 11072 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }-4 y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= -5 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.805 |
|
| 11073 |
\begin{align*}
y^{\prime \prime }+4 y&=\operatorname {Heaviside}\left (t -\pi \right )-\operatorname {Heaviside}\left (t -3 \pi \right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.806 |
|
| 11074 |
\begin{align*}
y_{1}^{\prime }&=3 y_{1}+5 y_{2}+8 y_{3} \\
y_{2}^{\prime }&=y_{1}-y_{2}-2 y_{3} \\
y_{3}^{\prime }&=-y_{1}-y_{2}-y_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.806 |
|
| 11075 |
\begin{align*}
y^{\prime \prime }-3 y^{\prime }+2 y&=\sqrt {1+t} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.806 |
|
| 11076 |
\begin{align*}
{y^{\prime }}^{2}+a \,x^{3} y^{\prime }-2 a \,x^{2} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.806 |
|
| 11077 |
\begin{align*}
3 \left (x +1\right )^{2} y^{\prime \prime }-\left (x +1\right ) y^{\prime }-y&=0 \\
\end{align*} Series expansion around \(x=-1\). |
✓ |
✓ |
✓ |
✗ |
0.806 |
|
| 11078 |
\begin{align*}
y^{\prime \prime }+n^{2} y&=h \sin \left (r x \right ) \\
y \left (0\right ) &= a \\
y^{\prime }\left (0\right ) &= c \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.806 |
|
| 11079 |
\begin{align*}
x^{\prime }&=y \\
y^{\prime }&=-x \\
z^{\prime }&=2 z \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.806 |
|
| 11080 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+4 y&=2 \sinh \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.806 |
|
| 11081 |
\begin{align*}
x^{\prime }&=4 x-6 y \\
y^{\prime }&=8 x-10 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.806 |
|
| 11082 |
\begin{align*}
y^{\prime \prime }+a^{2} y&=\sin \left (b x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.806 |
|
| 11083 |
\begin{align*}
x^{2} y^{\prime \prime }+y^{\prime } x +9 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.807 |
|
| 11084 |
\begin{align*}
\frac {t y^{\prime }}{y}+1+\ln \left (y\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.807 |
|
| 11085 |
\begin{align*}
y^{\prime \prime }&=-\frac {a y}{\left (x^{2}+1\right )^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.807 |
|
| 11086 |
\(\left [\begin {array}{ccc} 1 & 1 & -1 \\ 2 & 3 & -4 \\ 4 & 1 & -4 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
0.807 |
|
| 11087 |
\begin{align*}
y^{\prime \prime }+x^{2} y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 2 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.807 |
|
| 11088 |
\begin{align*}
\left (x^{2}+a \right ) y^{\prime \prime }-2 y^{\prime } x +2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.808 |
|
| 11089 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }&=2 x \\
y \left (0\right ) &= 0 \\
y \left (1\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.808 |
|
| 11090 |
\begin{align*}
x^{\prime }&=10 x-x^{2} \\
x \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.809 |
|
| 11091 |
\begin{align*}
x^{\prime }&=3 x-2 y \\
y^{\prime }&=2 x+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.809 |
|
| 11092 |
\begin{align*}
\left (x +3\right ) x^{2} y^{\prime \prime }+5 x \left (x +1\right ) y^{\prime }-\left (1-4 x \right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.809 |
|
| 11093 |
\begin{align*}
y_{1}^{\prime }&=y_{1}-y_{2}+2 y_{3} \\
y_{2}^{\prime }&=12 y_{1}-4 y_{2}+10 y_{3} \\
y_{3}^{\prime }&=-6 y_{1}+y_{2}-7 y_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.809 |
|
| 11094 |
\begin{align*}
x {y^{\prime }}^{2}+\left (a +x -y\right ) y^{\prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.809 |
|
| 11095 |
\begin{align*}
2 \left (1-x \right ) x y^{\prime \prime }-\left (1+6 x \right ) y^{\prime }-2 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.809 |
|
| 11096 |
\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*} |
✓ |
✓ |
✓ |
✓ |
0.809 |
|
| 11097 |
\begin{align*}
4 y^{\prime \prime }+4 y^{\prime }+37 y&=0 \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= -4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.809 |
|
| 11098 |
\(\left [\begin {array}{ccc} -2 & 5 & 5 \\ -1 & 4 & 5 \\ 3 & -3 & 2 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
0.809 |
|
| 11099 |
\begin{align*}
y^{\prime \prime } x&=2 y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.809 |
|
| 11100 |
\begin{align*}
y^{\prime \prime }&=4 x \sqrt {y^{\prime }} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.809 |
|