| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 23801 |
\begin{align*}
y y^{\prime }+\tan \left (x \right ) y^{2}&=\cos \left (x \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.461 |
|
| 23802 |
\begin{align*}
2 x y \left (4-y^{2}\right )+\left (-1+y\right ) \left (x^{2}+2\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
16.468 |
|
| 23803 |
\begin{align*}
\left (x +y\right ) y^{\prime }+x -y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.469 |
|
| 23804 |
\begin{align*}
\sin \left (y\right )^{2}+t \sin \left (2 y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.473 |
|
| 23805 |
\begin{align*}
\frac {2 x}{y^{3}}+\frac {\left (y^{2}-3 x^{2}\right ) y^{\prime }}{y^{4}}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
16.475 |
|
| 23806 |
\begin{align*}
y^{\prime }&=\frac {1+2 \sqrt {4 x^{2} y+1}\, x^{3}+2 x^{5} \sqrt {4 x^{2} y+1}+2 x^{6} \sqrt {4 x^{2} y+1}}{2 x^{3}} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
16.483 |
|
| 23807 |
\begin{align*}
x^{2} {y^{\prime }}^{2}-2 y y^{\prime } x -x^{4}+y^{2} \left (-x^{2}+1\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
16.487 |
|
| 23808 |
\begin{align*}
x +y-\left (x -y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.490 |
|
| 23809 |
\begin{align*}
x&=\sqrt {1+{y^{\prime }}^{2}}+a y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.493 |
|
| 23810 |
\begin{align*}
y^{\prime }&=\sqrt {y^{2}-9} \\
y \left (-1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
16.511 |
|
| 23811 |
\begin{align*}
y^{\prime } x&=a y+b \left (x^{2}+1\right ) y^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.514 |
|
| 23812 |
\begin{align*}
\left (2-3 x +y\right ) y^{\prime }+5-2 x -3 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.520 |
|
| 23813 |
\begin{align*}
x +y y^{\prime }&=m \left (-y+y^{\prime } x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
16.523 |
|
| 23814 |
\begin{align*}
2 x^{2} y^{4}-y+\left (4 x^{3} y^{3}-x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
16.534 |
|
| 23815 |
\begin{align*}
y^{\prime }&=\frac {-8 y x -x^{3}+2 x^{2}-8 x +32}{32 y+4 x^{2}-8 x +32} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.536 |
|
| 23816 |
\begin{align*}
y^{\prime }&=\frac {1}{\frac {2 y \,{\mathrm e}^{-\frac {t}{y}}}{t}+\frac {t}{y}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.538 |
|
| 23817 |
\begin{align*}
\left (x +y\right ) y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.540 |
|
| 23818 |
\begin{align*}
\left (a b x +a n +b m \right ) y+\left (m +n +\left (a +b \right ) x \right ) y^{\prime }+y^{\prime \prime } x&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
16.563 |
|
| 23819 |
\begin{align*}
y^{\prime }+3 a \left (2 x +y\right ) y^{2}&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
16.574 |
|
| 23820 |
\begin{align*}
y^{\prime }&=\frac {y x +y+x^{4} \sqrt {x^{2}+y^{2}}}{x \left (x +1\right )} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
16.581 |
|
| 23821 |
\begin{align*}
y^{\prime }&=\frac {-4 y x -x^{3}+4 x^{2}-4 x +8}{8 y+2 x^{2}-8 x +8} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.583 |
|
| 23822 |
\begin{align*}
x \left (x -a y\right ) y^{\prime }&=y \left (y-a x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
16.588 |
|
| 23823 |
\begin{align*}
y^{\prime }&=\left (a +b x y\right ) y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.592 |
|
| 23824 |
\begin{align*}
x^{2}+y^{2}-2 y y^{\prime } x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.595 |
|
| 23825 |
\begin{align*}
y^{\prime }+\left (a x +y\right ) y^{2}&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
16.598 |
|
| 23826 |
\begin{align*}
2 y^{\prime } x +4 y+a +\sqrt {a^{2}-4 b -4 c y}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.602 |
|
| 23827 |
\begin{align*}
y^{\prime }&=\frac {x +y+1}{x +y+2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.614 |
|
| 23828 |
\begin{align*}
3 x +y-2+\left (3 x +y+4\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.626 |
|
| 23829 |
\begin{align*}
y^{\prime }&=\alpha \left (A -y\right ) y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.632 |
|
| 23830 |
\begin{align*}
x_{1}^{\prime }&=x_{2}+3 x_{3} \\
x_{2}^{\prime }&=2 x_{1}+3 x_{2}-2 x_{3} \\
x_{3}^{\prime }&=2 x_{2}+2 x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
16.637 |
|
| 23831 |
\begin{align*}
x^{2} y^{\prime \prime }-y^{\prime } x +2 y&=x \ln \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.638 |
|
| 23832 |
\begin{align*}
y^{\prime }+\frac {2 y}{x}&=-\frac {2 x y}{x^{2}+2 x^{2} y+1} \\
y \left (1\right ) &= -2 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
16.639 |
|
| 23833 |
\begin{align*}
y^{\prime }&=\frac {-x^{2}+x +2+2 x^{3} \sqrt {x^{2}-4 x +4 y}}{2 x +2} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
16.659 |
|
| 23834 |
\begin{align*}
y^{\prime }&=\frac {y+x^{2} \sqrt {x^{2}+y^{2}}}{x} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
16.673 |
|
| 23835 |
\begin{align*}
\left (x -2 y\right ) y^{\prime }&=y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.674 |
|
| 23836 |
\begin{align*}
\left (x -2 y+1\right ) y^{\prime }&=1+2 x -y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.683 |
|
| 23837 |
\begin{align*}
y^{\prime }&=-x \sqrt {1-y^{2}} \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.690 |
|
| 23838 |
\begin{align*}
x \left (x^{4}-2 y^{3}\right ) y^{\prime }+\left (2 x^{4}+y^{3}\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.693 |
|
| 23839 |
\begin{align*}
y^{\prime }&=f \left (x \right ) y^{2}+g \left (x \right ) y+x^{n -1} a n -a \,x^{n} g \left (x \right )-a^{2} x^{2 n} f \left (x \right ) \\
\end{align*} |
✓ |
✗ |
✗ |
✗ |
16.700 |
|
| 23840 |
\begin{align*}
3 x -3 y-2-\left (x -y+1\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.724 |
|
| 23841 |
\begin{align*}
y+\left (2 x^{2} y-x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.737 |
|
| 23842 |
\begin{align*}
y^{\prime }&=\lambda \sin \left (\lambda x \right ) y^{2}+\lambda \sin \left (\lambda x \right )^{3} \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
16.742 |
|
| 23843 |
\begin{align*}
y^{\prime }&=\frac {4 t -y}{t -6 y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.744 |
|
| 23844 |
\begin{align*}
2 \ln \left (x \right ) y^{\prime }+\frac {y}{x}&=\frac {\cos \left (x \right )}{y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.746 |
|
| 23845 |
\begin{align*}
y^{\prime }&=\frac {x +2 y}{y-2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.747 |
|
| 23846 |
\begin{align*}
y^{\prime }&=\frac {x +2 y}{2 x +y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.749 |
|
| 23847 |
\begin{align*}
y^{\prime \prime }+\left (a b \,x^{n}+b \,x^{n -1}+2 a \right ) y^{\prime }+a^{2} \left (b \,x^{n}+1\right ) y&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
16.754 |
|
| 23848 |
\begin{align*}
y^{\prime }&=\frac {y^{3} x \,{\mathrm e}^{2 x^{2}}}{y \,{\mathrm e}^{x^{2}}+1} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
16.757 |
|
| 23849 |
\begin{align*}
y^{\prime \prime } x +\left (x^{n}+1-n \right ) y^{\prime }+b \,x^{2 n -1} y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
16.760 |
|
| 23850 |
\begin{align*}
\left (x +2 y\right ) y^{\prime }+2 x -y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.766 |
|
| 23851 |
\begin{align*}
5 y x -4 y^{2}-6 x^{2}+\left (y^{2}-2 y x +6 x^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.772 |
|
| 23852 |
\begin{align*}
y^{\prime }&=\left (y-3\right ) \left (\sin \left (y\right ) \sin \left (t \right )+\cos \left (t \right )+1\right ) \\
y \left (0\right ) &= 4 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
16.783 |
|
| 23853 |
\begin{align*}
y^{\prime }&=\frac {x +y-1}{3-x +y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.793 |
|
| 23854 |
\begin{align*}
y^{\prime }&=\left (y x \right )^{{1}/{3}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
16.798 |
|
| 23855 |
\begin{align*}
y^{\prime }&=\lambda \operatorname {arccot}\left (x \right )^{n} y^{2}+a y+a b -b^{2} \lambda \operatorname {arccot}\left (x \right )^{n} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
16.800 |
|
| 23856 |
\begin{align*}
2 x +4 y-1-\left (x +2 y-3\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.805 |
|
| 23857 |
\begin{align*}
r^{\prime }&=r^{2}+\frac {2 r}{t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.806 |
|
| 23858 |
\begin{align*}
-a y^{3}-\frac {b}{x^{{3}/{2}}}+y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
16.813 |
|
| 23859 |
\begin{align*}
\left (y^{3}-x \right ) y^{\prime }&=y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.843 |
|
| 23860 |
\begin{align*}
3 t y+y^{2}+\left (t^{2}+t y\right ) y^{\prime }&=0 \\
y \left (2\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.855 |
|
| 23861 |
\begin{align*}
x \left (a +x y^{n}\right ) y^{\prime }+b y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.895 |
|
| 23862 |
\begin{align*}
x +y y^{\prime }+y-y^{\prime } x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.897 |
|
| 23863 |
\begin{align*}
y^{\prime }&=\frac {-3+x +y}{y-x +1} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.905 |
|
| 23864 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime }&=x y \left (1+a y\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.913 |
|
| 23865 |
\begin{align*}
x^{2} y^{\prime }&=\left (x +a y\right ) y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.942 |
|
| 23866 |
\begin{align*}
y^{\prime }&=\sqrt {1-t^{2}-y^{2}} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
16.949 |
|
| 23867 |
\begin{align*}
y^{2} x^{2}-y+\left (2 x^{3} y+x \right ) y^{\prime }&=0 \\
y \left (2\right ) &= -2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.953 |
|
| 23868 |
\begin{align*}
3 t y+y^{2}+\left (t^{2}+t y\right ) y^{\prime }&=0 \\
y \left (2\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.965 |
|
| 23869 |
\begin{align*}
y^{\prime }&=a \,{\mathrm e}^{\lambda x} y^{3}+3 a b \,{\mathrm e}^{\lambda x} y^{2}+c y-2 a \,b^{3} {\mathrm e}^{\lambda x}+b c \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
16.974 |
|
| 23870 |
\begin{align*}
y^{\prime }&=-\frac {4 t}{y} \\
y \left (0\right ) &= y_{0} \\
\end{align*} |
✓ |
✗ |
✓ |
✓ |
16.977 |
|
| 23871 |
\begin{align*}
y^{\prime }&=x y^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.978 |
|
| 23872 |
\begin{align*}
\left (4 x -y\right ) {y^{\prime }}^{2}+6 \left (x -y\right ) y^{\prime }+2 x -5 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.983 |
|
| 23873 |
\begin{align*}
x^{2} y-2 x y^{2}-\left (x^{3}-3 x^{2} y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
16.990 |
|
| 23874 |
\begin{align*}
\cos \left (x \right ) y-2 \sin \left (y\right )&=\left (2 x \cos \left (y\right )-\sin \left (x \right )\right ) y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
16.996 |
|
| 23875 |
\begin{align*}
{y^{\prime }}^{2}+x^{2}&=4 y \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
17.007 |
|
| 23876 |
\begin{align*}
x +y \cos \left (\frac {y}{x}\right )-x \cos \left (\frac {y}{x}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
17.010 |
|
| 23877 |
\begin{align*}
y^{\prime }&=\frac {x +y}{x -y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
17.028 |
|
| 23878 |
\begin{align*}
2 x -6 y+3-\left (1+x -3 y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
17.029 |
|
| 23879 |
\begin{align*}
y^{3} y^{\prime }+3 x y^{2}+2 x^{3}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
17.030 |
|
| 23880 |
\begin{align*}
\left (\operatorname {a2} +\operatorname {b2} \,x^{k}\right ) y+x \left (\operatorname {a1} +\operatorname {b1} \,x^{k}\right ) y^{\prime }+x^{2} \left (\operatorname {a0} +\operatorname {b0} \,x^{k}\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
17.044 |
|
| 23881 |
\begin{align*}
y^{\prime }&=y^{3}+y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
17.053 |
|
| 23882 |
\begin{align*}
y^{3}+y^{\prime }&=0 \\
y \left (0\right ) &= y_{0} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
17.062 |
|
| 23883 |
\begin{align*}
y^{\prime }&=-\frac {-y^{3}-y+4 y^{2} \ln \left (x \right )-4 \ln \left (x \right )^{2} y^{3}-1+6 y \ln \left (x \right )-12 \ln \left (x \right )^{2} y^{2}+8 \ln \left (x \right )^{3} y^{3}}{y x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
17.064 |
|
| 23884 |
\begin{align*}
y^{\prime }&=\frac {x^{3}+y^{3}}{y^{2} x} \\
y \left (1\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
17.065 |
|
| 23885 |
\begin{align*}
y^{\prime }&=\frac {x +y}{-x +y} \\
y \left (-2\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
17.071 |
|
| 23886 |
\begin{align*}
\left (x +y\right ) y^{\prime }+x -y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
17.075 |
|
| 23887 |
\begin{align*}
{y^{\prime }}^{n}-f \left (x \right )^{n} \left (y-a \right )^{n +1} \left (y-b \right )^{n -1}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
17.079 |
|
| 23888 |
\begin{align*}
y^{\prime } x&=3 x^{2 n +1} y^{3}+\left (b x -n \right ) y+c \,x^{1-n} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
17.083 |
|
| 23889 |
\begin{align*}
4 x -y+2+\left (x +y+3\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
17.089 |
|
| 23890 |
\begin{align*}
3 x +2 y+\left (2 x +y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
17.089 |
|
| 23891 |
\begin{align*}
y^{\prime }&=-F \left (x \right ) \left (-y^{2}-2 y \ln \left (x \right )-\ln \left (x \right )^{2}\right )+\frac {y}{x \ln \left (x \right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
17.090 |
|
| 23892 |
\begin{align*}
y^{\prime }-\sqrt {\left (b_{4} y^{4}+b_{3} y^{3}+b_{2} y^{2}+b_{1} y+b_{0} \right ) \left (a_{4} x^{4}+a_{3} x^{3}+a_{2} x^{2}+a_{1} x +a_{0} \right )}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
17.100 |
|
| 23893 |
\begin{align*}
y y^{\prime }-7 y&=6 x \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
17.121 |
|
| 23894 |
\begin{align*}
7 x +4 y+\left (4 x +3 y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
17.125 |
|
| 23895 |
\begin{align*}
y^{\prime } x +y&=2 \sqrt {y x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
17.125 |
|
| 23896 |
\begin{align*}
y^{\prime }&=\lambda \arcsin \left (x \right )^{n} y^{2}+a y+a b -b^{2} \lambda \arcsin \left (x \right )^{n} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
17.129 |
|
| 23897 |
\begin{align*}
3 y x +y^{2}+\left (3 y x +x^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
17.148 |
|
| 23898 |
\begin{align*}
y^{\prime }&=x^{m -1} y^{1-n} f \left (a \,x^{m}+b y^{n}\right ) \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
17.158 |
|
| 23899 |
\begin{align*}
4 x +3 y-7+\left (4 x +3 y+1\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
17.164 |
|
| 23900 |
\begin{align*}
-y+y^{\prime } x&=x^{2} y y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
17.171 |
|