| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 101 |
\begin{align*}
x^{\prime } t +2 x&=t \\
t y^{\prime }-\left (t +2\right ) x-y t&=-t \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
0.037 |
|
| 102 |
\begin{align*}
y^{\prime \prime \prime }+y x&=\cosh \left (x \right ) \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.037 |
|
| 103 |
\begin{align*}
y^{\prime }&=-2 \\
z^{\prime }&=x \,{\mathrm e}^{2 x +y} \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
0.037 |
|
| 104 |
\begin{align*}
x^{\prime } t&=t -2 x \\
t y^{\prime }&=x t +y t +2 x-t \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
0.037 |
|
| 105 |
\begin{align*}
x^{\prime }&=3 x-22 \sin \left (y\right )+x^{2}-y^{3} \\
y^{\prime }&=\sin \left (x\right )-5 y+{\mathrm e}^{x^{2}}-1 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.037 |
|
| 106 |
\begin{align*}
\left (2 x +3\right )^{3} y^{\prime \prime \prime }+3 \left (2 x +3\right ) y^{\prime }-6 y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.037 |
|
| 107 |
\begin{align*}
x^{\prime }&=x^{2}+y^{2}-1 \\
y^{\prime }&=2 x y \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.038 |
|
| 108 |
\begin{align*}
x^{\prime \prime }-x^{\prime }+y^{\prime }&=0 \\
x^{\prime \prime }+y^{\prime \prime }-x&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
0.038 |
|
| 109 |
\begin{align*}
x^{\prime }&=y-z \\
y^{\prime }&=x^{2}+y \\
z^{\prime }&=x^{2}+z \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.038 |
|
| 110 |
\begin{align*}
t^{3} x^{\prime \prime \prime }-\left (t +3\right ) t^{2} x^{\prime \prime }+2 t \left (t +3\right ) x^{\prime }-2 \left (t +3\right ) x&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.038 |
|
| 111 |
\begin{align*}
y_{1}^{\prime \prime }+2 y_{1}^{\prime }+6 y_{1}&=5 y_{2} \\
y_{2}^{\prime \prime }-2 y_{2}^{\prime }+6 y_{2}&=9 y_{1} \\
\end{align*}
With initial conditions \begin{align*}
y_{1} \left (0\right ) &= 0 \\
y_{1}^{\prime }\left (0\right ) &= 0 \\
y_{2} \left (0\right ) &= 6 \\
y_{2}^{\prime }\left (0\right ) &= 6 \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
0.038 |
|
| 112 |
\begin{align*}
x^{\prime }&=-2 x+8 \sin \left (y\right )^{2} \\
y^{\prime }&=x-3 y+4 x^{3} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.038 |
|
| 113 |
\begin{align*}
t y^{\prime \prime \prime }+2 y^{\prime \prime }-y^{\prime }+y t&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.039 |
|
| 114 |
\begin{align*}
x_{1}^{\prime }&=x_{2} \\
x_{2}^{\prime }&=-\frac {\left (x_{1}^{2}+\sqrt {x_{1}^{2}+4 x_{2}^{2}}\right ) x_{1}}{2} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.039 |
|
| 115 |
\begin{align*}
x_{1}^{\prime }&=\frac {x_{1}}{t}+x_{2} t \\
x_{2}^{\prime }&=-\frac {x_{1}}{t} \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
0.039 |
|
| 116 |
\begin{align*}
x^{\prime \prime }&=4 y+{\mathrm e}^{t} \\
y^{\prime \prime }&=4 x-{\mathrm e}^{t} \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
0.039 |
|
| 117 |
\begin{align*}
x^{3} y^{\prime \prime \prime }-2 x^{2} y^{\prime \prime }+\left (x^{2}+2 x \right ) y^{\prime }-y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✗ |
✓ |
✓ |
✗ |
0.039 |
|
| 118 |
\begin{align*}
y^{\left (5\right )}-a x y-b&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.039 |
|
| 119 |
\begin{align*}
x^{\prime }+\left (a x+b y\right ) f \left (t \right )&=g \left (t \right ) \\
y^{\prime }+\left (c x+d y\right ) f \left (t \right )&=h \left (t \right ) \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
0.039 |
|
| 120 |
\begin{align*}
x^{\prime \prime }+6 x+7 y&=0 \\
y^{\prime \prime }+3 x+2 y&=2 t \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
0.039 |
|
| 121 |
\begin{align*}
x^{\prime }&=y^{2}-\cos \left (x\right ) \\
y^{\prime }&=-y \sin \left (x\right ) \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.039 |
|
| 122 |
\begin{align*}
x^{\prime }&=x+y-x \left (x^{2}+y^{2}\right ) \\
y^{\prime }&=-x+y-y \left (x^{2}+y^{2}\right ) \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.039 |
|
| 123 |
\begin{align*}
x^{\prime \prime }&=a \,{\mathrm e}^{2 x}-{\mathrm e}^{-x}+{\mathrm e}^{-2 x} \cos \left (y\right )^{2} \\
y^{\prime \prime }&={\mathrm e}^{-2 x} \sin \left (y\right ) \cos \left (y\right )-\frac {\sin \left (y\right )}{\cos \left (y\right )^{3}} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.039 |
|
| 124 |
\begin{align*}
x^{\prime }&=-x \,y^{2}+x+y \\
y^{\prime }&=y \,x^{2}-x-y \\
z^{\prime }&=y^{2}-x^{2} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.039 |
|
| 125 |
\begin{align*}
y-x y^{\prime }-y^{\prime \prime }+x y^{\prime \prime \prime }&=-x^{2}+1 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.039 |
|
| 126 |
\begin{align*}
y^{\prime \prime }+y y^{\prime \prime \prime \prime }&=1 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.039 |
|
| 127 |
\begin{align*}
y^{\prime \prime \prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.039 |
|
| 128 |
\begin{align*}
x^{\prime } t&=t -2 x \\
t y^{\prime }&=x t +y t +2 x-t \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
0.039 |
|
| 129 |
\begin{align*}
y^{\prime \prime \prime }-5 y^{\prime \prime }+6 y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.039 |
|
| 130 |
\begin{align*}
y^{\prime \prime \prime }-3 x^{2} y^{\prime }+2 y x&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 1 \\
y^{\prime \prime }\left (0\right ) &= 0 \\
\end{align*}
Series expansion around \(x=0\). |
✗ |
✓ |
✓ |
✗ |
0.039 |
|
| 131 |
\begin{align*}
y^{\prime \prime \prime }+4 y^{\prime \prime }+2 y^{\prime }-x^{3} y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 1 \\
y^{\prime \prime }\left (0\right ) &= 0 \\
\end{align*}
Series expansion around \(x=0\). |
✗ |
✓ |
✓ |
✗ |
0.039 |
|
| 132 |
\begin{align*}
x_{1}^{\prime }&=x_{2} \\
x_{2}^{\prime }&=x_{1}-x_{1}^{3} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.039 |
|
| 133 |
\begin{align*}
y_{1}^{\prime }&=y_{2} \\
y_{2}^{\prime }&=y_{1} y_{2} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.039 |
|
| 134 |
\begin{align*}
x^{\prime }&=\frac {{\mathrm e}^{x}}{4}-\frac {1}{4}-9 y+x^{4} \\
y^{\prime }&=\frac {x}{5}-\sin \left (y\right )+y^{14} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.039 |
|
| 135 |
\begin{align*}
x^{\prime }&=x-\frac {x y}{2} \\
y^{\prime }&=2 x y-\frac {6 y}{5} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.039 |
|
| 136 |
\begin{align*}
x^{\prime }&=x \,y^{2}-x \\
y^{\prime }&=x \sin \left (\pi y\right ) \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.040 |
|
| 137 |
\begin{align*}
x^{\prime }&=x-x^{3}-x y \\
y^{\prime }&=2 y-y^{5}-y \,x^{4} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.040 |
|
| 138 |
\begin{align*}
x^{\prime }&=6 x-6 x^{2}-2 x y \\
y^{\prime }&=4 y-4 y^{2}-2 x y \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.040 |
|
| 139 |
\begin{align*}
x^{\prime }&={\mathrm e}^{y}-x \\
y^{\prime }&={\mathrm e}^{x}+y \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.040 |
|
| 140 |
\begin{align*}
x^{3} y^{\prime \prime \prime }+2 x^{2} y^{\prime \prime }+\left (x^{2}+x \right ) y^{\prime }+y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✗ |
✓ |
✓ |
✗ |
0.040 |
|
| 141 |
\begin{align*}
x^{3} y^{\prime \prime \prime }+\left (2 x^{3}-x^{2}\right ) y^{\prime \prime }-x y^{\prime }+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✗ |
✓ |
✓ |
✗ |
0.040 |
|
| 142 |
\begin{align*}
x y^{\prime \prime \prime }+\left (a +b \right ) y^{\prime \prime }-x y^{\prime }-a y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.040 |
|
| 143 |
\begin{align*}
y^{3} y^{\prime }-y^{\prime } y^{\prime \prime }+y y^{\prime \prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
0.040 |
|
| 144 |
\begin{align*}
15 {y^{\prime }}^{3}-18 y y^{\prime } y^{\prime \prime }+4 y^{2} y^{\prime \prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.040 |
|
| 145 |
\begin{align*}
2 x^{\prime }+y^{\prime }-3 x&=0 \\
x^{\prime \prime }+y^{\prime }-2 y&={\mathrm e}^{2 t} \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
0.040 |
|
| 146 |
\begin{align*}
x^{\prime }&=x^{2} \\
y^{\prime }&={\mathrm e}^{t} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.040 |
|
| 147 |
\begin{align*}
x^{\prime } t +6 x-y-3 z&=0 \\
t y^{\prime }+23 x-6 y-9 z&=0 \\
z^{\prime } t +x+y-2 z&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
0.040 |
|
| 148 |
\begin{align*}
x^{\prime }&=x \cos \left (t \right )-\sin \left (t \right ) y \\
y^{\prime }&=\sin \left (t \right ) x+\cos \left (t \right ) y \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
0.040 |
|
| 149 |
\begin{align*}
t^{2} x^{\prime }-y&=1 \\
y^{\prime }-2 x&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.040 |
|
| 150 |
\begin{align*}
y^{\prime \prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.040 |
|
| 151 |
\begin{align*}
x^{\prime }&=-x+3 y+x^{2} \sin \left (y\right ) \\
y^{\prime }&=-x-4 y+1-\cos \left (y^{2}\right ) \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.040 |
|
| 152 |
\begin{align*}
x^{\prime }&=7 x+2 \sin \left (y\right )-4 y^{4} \\
y^{\prime }&={\mathrm e}^{x}-3 y-1+\frac {5 x^{2}}{2} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.040 |
|
| 153 |
\begin{align*}
t \left (t -1\right ) y^{\prime \prime \prime \prime }+{\mathrm e}^{t} y^{\prime \prime }+4 t^{2} y&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.041 |
|
| 154 |
\begin{align*}
\left (2-t \right ) y^{\prime \prime \prime }+\left (2 t -3\right ) y^{\prime \prime }-t y^{\prime }+y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.041 |
|
| 155 |
\begin{align*}
x^{2} y^{\prime \prime \prime }+\left (x +1\right ) y^{\prime \prime }-y&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.041 |
|
| 156 |
\begin{align*}
x^{2} y^{\prime \prime \prime }+x y^{\prime \prime }+\left (2 y x -1\right ) y^{\prime }+y^{2}-f \left (x \right )&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.041 |
|
| 157 |
\begin{align*}
x^{\prime \prime }-a y^{\prime }+b x&=0 \\
y^{\prime \prime }+a x^{\prime }+b y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
0.041 |
|
| 158 |
\begin{align*}
x^{\prime }&=x \left (y-z\right ) \\
y^{\prime }&=y \left (-x+z\right ) \\
z^{\prime }&=z \left (x-y\right ) \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.041 |
|
| 159 |
\begin{align*}
x^{\prime }&=x \left (y^{2}-z^{2}\right ) \\
y^{\prime }&=y \left (z^{2}-x^{2}\right ) \\
z^{\prime }&=z \left (x^{2}-y^{2}\right ) \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.041 |
|
| 160 |
\begin{align*}
x^{2} y^{\prime \prime \prime }-5 x y^{\prime \prime }+\left (4 x^{4}+5\right ) y^{\prime }-8 x^{3} y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.041 |
|
| 161 |
\begin{align*}
w_{1}^{\prime }&=w_{2} \\
w_{2}^{\prime }&=\frac {a w_{1}}{z^{2}} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.041 |
|
| 162 |
\begin{align*}
y^{\prime \prime }+z+y&=0 \\
y^{\prime }+z^{\prime }&=0 \\
\end{align*}
With initial conditions \begin{align*}
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
z \left (0\right ) &= 1 \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
0.041 |
|
| 163 |
\begin{align*}
y^{\prime \prime \prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.041 |
|
| 164 |
\begin{align*}
x^{\prime }&=-2 x+y+x \,y^{2} \\
y^{\prime }&=-7 x-2 y-7 y \,x^{2} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.041 |
|
| 165 |
\begin{align*}
x^{\prime }&=x t -y+{\mathrm e}^{t} z \\
y^{\prime }&=2 x+t^{2} y-z \\
z^{\prime }&={\mathrm e}^{-t} x+3 y t +t^{3} z \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.042 |
|
| 166 |
\begin{align*}
y^{\prime \prime \prime \prime }+3 y^{\prime \prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.042 |
|
| 167 |
\begin{align*}
x y^{\prime \prime \prime }+3 y^{\prime \prime }+y x&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.042 |
|
| 168 |
\begin{align*}
2 x y^{\prime \prime \prime }+3 y^{\prime \prime }+a x y-b&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.042 |
|
| 169 |
\begin{align*}
\left (2 x -1\right ) y^{\prime \prime \prime }-8 x y^{\prime }+8 y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.042 |
|
| 170 |
\begin{align*}
-12 y+3 \left (2 x^{2}+1\right ) y^{\prime \prime }+x \left (x^{2}+1\right ) y^{\prime \prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.042 |
|
| 171 |
\begin{align*}
x^{2} y^{\prime \prime \prime \prime }-a y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.042 |
|
| 172 |
\begin{align*}
40 {y^{\prime }}^{3}-45 y y^{\prime } y^{\prime \prime }+9 y^{2} y^{\prime \prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.042 |
|
| 173 |
\begin{align*}
-2 y+2 x y^{\prime }-x^{2} y^{\prime \prime }+\left (x^{2}-2 x +2\right ) y^{\prime \prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.042 |
|
| 174 |
\begin{align*}
x^{\prime }&=x+y+4 \\
y^{\prime }&=-2 x+\sin \left (t \right ) y \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
0.042 |
|
| 175 |
\begin{align*}
y^{\left (5\right )}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.042 |
|
| 176 |
\begin{align*}
x^{\prime }&=-\frac {2 x}{3}+\frac {\sin \left (2 y\right )}{2}-x^{3} y \\
y^{\prime }&=-y-2 x+x^{4}-y^{7} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.042 |
|
| 177 |
\begin{align*}
y^{\prime \prime \prime \prime }+11 y^{\prime \prime \prime }+41 y^{\prime \prime }+61 y^{\prime }+30 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.042 |
|
| 178 |
\begin{align*}
y^{\prime \prime \prime \prime }+3 y^{\prime \prime \prime }+\alpha y^{\prime \prime }+2 y^{\prime }+\beta y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.042 |
|
| 179 |
\begin{align*}
y^{\prime \prime \prime }+y^{\prime \prime }-y^{\prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.043 |
|
| 180 |
\begin{align*}
x^{\prime }&=-b x y+m \\
y^{\prime }&=b x y-g y \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.043 |
|
| 181 |
\begin{align*}
y^{\prime \prime \prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.043 |
|
| 182 |
\begin{align*}
x_{1}^{\prime }&=\left (2 t -1\right ) x_{1} \\
x_{2}^{\prime }&={\mathrm e}^{-t^{2}+t} x_{1}+x_{2} \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
0.043 |
|
| 183 |
\begin{align*}
x^{\prime \prime }+x^{\prime }+y^{\prime }-2 y&=40 \,{\mathrm e}^{3 t} \\
x^{\prime }+x-y^{\prime }&=36 \,{\mathrm e}^{t} \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 1 \\
y \left (0\right ) &= 3 \\
x^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
0.043 |
|
| 184 |
\begin{align*}
x^{\prime }&=x y+1 \\
y^{\prime }&=-x+y \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 2 \\
y \left (0\right ) &= -1 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.043 |
|
| 185 |
\begin{align*}
y^{\prime \prime \prime }+a \,x^{3} y-b x&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.043 |
|
| 186 |
\begin{align*}
x^{2} y^{\prime \prime \prime }+4 x y^{\prime \prime }+y^{\prime } \left (x^{2}+2\right )+3 y x -f \left (x \right )&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.043 |
|
| 187 |
\begin{align*}
y^{\prime \prime \prime }+x y^{\prime }+n y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.043 |
|
| 188 |
\begin{align*}
{y^{\prime \prime }}^{2}-2 y^{\prime \prime } y^{\prime }+y^{2}&=0 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
0.043 |
|
| 189 |
\begin{align*}
x^{\prime }&=-x+y t \\
y^{\prime }&=x t -y \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
0.043 |
|
| 190 |
\begin{align*}
x^{\prime }&=\left (3 t -1\right ) x-\left (1-t \right ) y+t \,{\mathrm e}^{t^{2}} \\
y^{\prime }&=-\left (t +2\right ) x+\left (t -2\right ) y-{\mathrm e}^{t^{2}} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.043 |
|
| 191 |
\begin{align*}
x^{\prime }+y&=3 t \\
y^{\prime }-x^{\prime } t&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
0.043 |
|
| 192 |
\begin{align*}
x^{\prime }&=-x^{3} \\
y^{\prime }&=-y^{3} \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
0.043 |
|
| 193 |
\begin{align*}
y^{\prime \prime }+y y^{\prime \prime \prime \prime }&=5 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.043 |
|
| 194 |
\begin{align*}
y_{1}^{\prime }&=\sin \left (t \right ) y_{1} \\
y_{2}^{\prime }&=y_{1}+\cos \left (t \right ) y_{2} \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
0.043 |
|
| 195 |
\begin{align*}
x^{\prime }&=\frac {3 \sin \left (x\right )}{4}-7 y \left (1-y\right )^{{1}/{3}}+x^{3} \\
y^{\prime }&=\frac {2 x}{3}-3 y \cos \left (y\right )-11 y^{5} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.043 |
|
| 196 |
\begin{align*}
x^{\prime \prime }+2 x-2 y^{\prime }&=0 \\
3 x^{\prime }+y^{\prime \prime }-8 y&=240 \,{\mathrm e}^{t} \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 0 \\
y \left (0\right ) &= 0 \\
x^{\prime }\left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
0.044 |
|
| 197 |
\begin{align*}
y^{\prime \prime \prime }+8 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.044 |
|
| 198 |
\begin{align*}
x^{6} y^{\prime \prime \prime }+x^{2} y^{\prime \prime }-2 y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.044 |
|
| 199 |
\begin{align*}
y^{\prime \prime \prime }-x y^{\prime }-n y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.044 |
|
| 200 |
\begin{align*}
f y^{\prime \prime \prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.044 |
|