| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 24801 |
\begin{align*}
y^{\prime }&=\frac {x +y-1}{x -y+3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.146 |
|
| 24802 |
\begin{align*}
\left (-x^{2}+y\right ) y^{\prime }+4 y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.157 |
|
| 24803 |
\begin{align*}
\left (a \,{\mathrm e}^{\lambda x}+b \,{\mathrm e}^{\mu x}+c \right ) y^{\prime }&=y^{2}+k \,{\mathrm e}^{\nu x} y-m^{2}+k m \,{\mathrm e}^{\nu x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
29.171 |
|
| 24804 |
\begin{align*}
4 y y^{\prime } x&=8 x^{2}+5 y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.183 |
|
| 24805 |
\begin{align*}
2 x^{4} y y^{\prime }+y^{4}&=4 x^{6} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
29.217 |
|
| 24806 |
\begin{align*}
y^{\prime }&={\mathrm e}^{-t^{2}}+y^{2} \\
y \left (0\right ) &= 1 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
29.222 |
|
| 24807 |
\begin{align*}
{y^{\prime }}^{4}+3 \left (x -1\right ) {y^{\prime }}^{2}-3 \left (2 y-1\right ) y^{\prime }+3 x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
29.230 |
|
| 24808 |
\begin{align*}
3 x -2 y+4-\left (2 x +7 y-1\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.247 |
|
| 24809 |
\begin{align*}
y+x y^{2}+\left (x -x^{2} y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.262 |
|
| 24810 |
\begin{align*}
x \left (1+x y^{2}\right ) y^{\prime }&=\left (2-3 x y^{2}\right ) y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.266 |
|
| 24811 |
\begin{align*}
x \left (\left (x^{2}+y^{2}\right )^{{3}/{2}}+2 y^{2}\right )+y \left (\left (x^{2}+y^{2}\right )^{{3}/{2}}-2 x^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
29.270 |
|
| 24812 |
\begin{align*}
t y^{3}-\left (t^{4}+y^{4}\right ) y^{\prime }&=0 \\
y \left (1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.289 |
|
| 24813 |
\begin{align*}
f \left (x \right )^{2} y^{\prime }-f^{\prime }\left (x \right ) y^{2}+g \left (x \right ) \left (y-f \left (x \right )\right )&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
29.293 |
|
| 24814 |
\begin{align*}
y^{\prime }&=\frac {\left (2 \ln \left (x \right )+1\right ) x}{\sin \left (y\right )+y \cos \left (y\right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.295 |
|
| 24815 |
\begin{align*}
S^{\prime }&=S^{3}-2 S^{2}+S \\
S \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
29.331 |
|
| 24816 |
\begin{align*}
y&=x \left (x^{2} y-1\right ) y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.362 |
|
| 24817 |
\begin{align*}
\left (140+7 x -16 y\right ) y^{\prime }+25+8 x +y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.378 |
|
| 24818 |
\begin{align*}
\left (x \cos \left (y\right )+\cos \left (x \right )\right ) y^{\prime }-\sin \left (x \right ) y+\sin \left (y\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
29.384 |
|
| 24819 |
\begin{align*}
x^{\prime }&=\sqrt {1-x^{2}} \\
x \left (\frac {\pi }{2}\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
29.411 |
|
| 24820 |
\begin{align*}
3 \sin \left (t \right )-\sin \left (3 t \right )&=\left (\cos \left (4 y\right )-4 \cos \left (y\right )\right ) y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
29.412 |
|
| 24821 |
\begin{align*}
\frac {y \cos \left (\frac {y}{x}\right )}{x}-\left (\frac {x \sin \left (\frac {y}{x}\right )}{y}+\cos \left (\frac {y}{x}\right )\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.431 |
|
| 24822 |
\begin{align*}
y y^{\prime } x&=\left (x +y\right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
29.483 |
|
| 24823 |
\begin{align*}
y^{\prime }&=\frac {y \left (-\cosh \left (\frac {1}{x +1}\right ) x +\cosh \left (\frac {1}{x +1}\right )-x +x^{2} y-x^{2}+x^{3} y\right )}{x \left (x -1\right ) \cosh \left (\frac {1}{x +1}\right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
29.487 |
|
| 24824 |
\begin{align*}
x \left (2 x +3 y\right ) y^{\prime }+3 \left (x +y\right )^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.510 |
|
| 24825 |
\begin{align*}
y^{\prime } \sin \left (y\right )+\cos \left (y\right ) \sin \left (x \right )&=\sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.513 |
|
| 24826 |
\begin{align*}
y^{\prime }-\frac {\sqrt {{| y \left (-1+y\right ) \left (a y-1\right )|}}}{\sqrt {{| x \left (x -1\right ) \left (a x -1\right )|}}}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.516 |
|
| 24827 |
\begin{align*}
y^{\prime }&=y^{2}+3 a \lambda -\lambda ^{2}-a \left (a +\lambda \right ) \tanh \left (\lambda x \right )^{2} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
29.556 |
|
| 24828 |
\begin{align*}
y \left (4 x +y\right )-2 \left (x^{2}-y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
29.568 |
|
| 24829 |
\begin{align*}
y^{\prime }&=\frac {x +a y}{a x -y} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
29.576 |
|
| 24830 |
\begin{align*}
y^{\prime \prime }+y&=0 \\
y \left (0\right ) &= 0 \\
y \left (2 \pi \right ) &= 1 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
29.577 |
|
| 24831 |
\begin{align*}
\left (1-y^{2}\right ) {y^{\prime }}^{2}&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.613 |
|
| 24832 |
\begin{align*}
y {y^{\prime }}^{2}-\left (x +y\right ) y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.615 |
|
| 24833 |
\begin{align*}
y^{\prime }&=\frac {-y \sin \left (\frac {y}{x}\right ) x -y \sin \left (\frac {y}{x}\right )+y \sin \left (\frac {3 y}{2 x}\right ) \cos \left (\frac {y}{2 x}\right ) x +y \sin \left (\frac {3 y}{2 x}\right ) \cos \left (\frac {y}{2 x}\right )+y \cos \left (\frac {y}{2 x}\right ) \sin \left (\frac {y}{2 x}\right ) x +y \cos \left (\frac {y}{2 x}\right ) \sin \left (\frac {y}{2 x}\right )+2 \sin \left (\frac {y}{x}\right ) x^{4} \cos \left (\frac {y}{2 x}\right ) \sin \left (\frac {y}{2 x}\right )}{2 \cos \left (\frac {y}{x}\right ) \cos \left (\frac {y}{2 x}\right ) \sin \left (\frac {y}{2 x}\right ) x \left (x +1\right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
29.659 |
|
| 24834 |
\begin{align*}
\left (x^{n} a +b \right )^{2} y^{\prime \prime }+c \,x^{m} \left (x^{n} a +b \right ) y^{\prime }+\left (c \,x^{m}-x^{n -1} a n -1\right ) y&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
29.662 |
|
| 24835 |
\begin{align*}
y^{\prime }&=\frac {\left (x +1+\ln \left (y\right ) x \right ) \ln \left (y\right ) y}{x \left (x +1\right )} \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
29.674 |
|
| 24836 |
\begin{align*}
y^{\prime }&=\frac {-3 x^{2} y-y^{2}}{2 x^{3}+3 y x} \\
y \left (1\right ) &= -2 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
29.706 |
|
| 24837 |
\begin{align*}
3 x +2 y+7+\left (2 x -y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.762 |
|
| 24838 |
\begin{align*}
y^{\prime }&=\lambda \arccos \left (x \right )^{n} y^{2}+a y+a b -b^{2} \lambda \arccos \left (x \right )^{n} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.793 |
|
| 24839 |
\begin{align*}
y^{\prime }&=\frac {2 x -y}{x +4 y} \\
y \left (1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.800 |
|
| 24840 |
\begin{align*}
x +y+\left (x -y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.802 |
|
| 24841 |
\begin{align*}
y^{\prime }&=\frac {-3+x +y}{x -y-1} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.819 |
|
| 24842 |
\begin{align*}
y^{\prime }&=\frac {3 y x^{2}}{x^{3}+2 y^{4}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.859 |
|
| 24843 |
\begin{align*}
y^{2} {\mathrm e}^{y x}+\cos \left (x \right )+\left ({\mathrm e}^{y x}+x y \,{\mathrm e}^{y x}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
29.861 |
|
| 24844 |
\begin{align*}
y^{\prime } x&=\sqrt {x^{2}+y^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
29.871 |
|
| 24845 |
\begin{align*}
x \left (x -2 y\right ) y^{\prime }+y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.876 |
|
| 24846 |
\begin{align*}
\left (x -\sqrt {x^{2}+y^{2}}\right ) y^{\prime }&=y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.894 |
|
| 24847 |
\begin{align*}
x y \left (1-y^{\prime }\right )&=x^{2} y^{\prime }+y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.896 |
|
| 24848 |
\begin{align*}
y^{\prime }&=\frac {-y \sin \left (\frac {y}{x}\right )+y \sin \left (\frac {3 y}{2 x}\right ) \cos \left (\frac {y}{2 x}\right )+y \cos \left (\frac {y}{2 x}\right ) \sin \left (\frac {y}{2 x}\right )+2 \sin \left (\frac {y}{x}\right ) x^{3} \cos \left (\frac {y}{2 x}\right ) \sin \left (\frac {y}{2 x}\right )}{2 \cos \left (\frac {y}{x}\right ) \cos \left (\frac {y}{2 x}\right ) \sin \left (\frac {y}{2 x}\right ) x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
29.899 |
|
| 24849 |
\begin{align*}
2 x -y+\left (-x +2 y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.921 |
|
| 24850 |
\begin{align*}
y^{\prime } x&=x +\frac {y}{2} \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
29.936 |
|
| 24851 |
\begin{align*}
\sec \left (x \right )^{2} \tan \left (y\right )+\sec \left (y\right )^{2} \tan \left (x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.971 |
|
| 24852 |
\begin{align*}
{\mathrm e}^{2 y} {y^{\prime }}^{3}+\left ({\mathrm e}^{2 x}+{\mathrm e}^{3 x}\right ) y^{\prime }-{\mathrm e}^{3 x}&=0 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
30.007 |
|
| 24853 |
\begin{align*}
y^{\prime }&=\frac {3 \cot \left (x \right ) y^{2}+\cos \left (x \right ) \sin \left (x \right )}{2 y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
30.023 |
|
| 24854 |
\begin{align*}
x^{\prime }&=-\frac {\sin \left (x\right )-x \sin \left (t \right )}{t \cos \left (x\right )+\cos \left (t \right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
30.037 |
|
| 24855 |
\begin{align*}
\left (m +1\right ) x^{m} a \left (m \right ) y+y^{\prime } x +x^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
30.097 |
|
| 24856 |
\begin{align*}
y^{\prime }&=\frac {x +2 y-1}{2 x -y+3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
30.150 |
|
| 24857 |
\begin{align*}
1+t -2 y+\left (4 t -3 y-6\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
30.169 |
|
| 24858 |
\begin{align*}
2 x -y+\left (-x +2 y\right ) y^{\prime }&=0 \\
y \left (1\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
30.171 |
|
| 24859 |
\begin{align*}
y^{\prime } \cos \left (y\right )+\left (\sin \left (y\right )-1\right ) \cos \left (x \right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
30.197 |
|
| 24860 |
\begin{align*}
y^{3} \left (x +y y^{\prime }\right )&=\left (x^{2}+y^{2}\right )^{3} y^{\prime } \\
\end{align*} |
✓ |
✗ |
✗ |
✗ |
30.204 |
|
| 24861 |
\begin{align*}
\frac {1}{y}+\sec \left (\frac {y}{x}\right )-\frac {x y^{\prime }}{y^{2}}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
30.205 |
|
| 24862 |
\begin{align*}
9 y^{\prime }&=-x^{m} \left (a \,x^{-m +1}+b \right )^{2 \lambda +1} y^{3}-x^{-2 m} \left (9 a +2+9 b m \,x^{m -1}\right ) \left (a \,x^{-m +1}+b \right )^{-\lambda -2} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
30.228 |
|
| 24863 |
\begin{align*}
y^{\prime }+a y^{2}-b \,x^{\nu }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
30.256 |
|
| 24864 |
\begin{align*}
2 t y \,{\mathrm e}^{t^{2}}+2 t \,{\mathrm e}^{-y}+\left ({\mathrm e}^{t^{2}}-t^{2} {\mathrm e}^{-y}+1\right ) y^{\prime }&=0 \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
30.257 |
|
| 24865 |
\begin{align*}
2 x^{2}+2 y x +y^{2}+\left (x^{2}+2 y x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
30.367 |
|
| 24866 |
\begin{align*}
y^{\prime \prime }+{\mathrm e}^{x} y^{\prime }+\left (x +1\right ) y&=0 \\
y \left (1\right ) &= 0 \\
y^{\prime }\left (1\right ) &= 0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
30.376 |
|
| 24867 |
\begin{align*}
\sin \left (x \right ) \tan \left (y\right )+1+\cos \left (x \right ) \sec \left (y\right )^{2} y^{\prime }&=0 \\
\end{align*} |
✓ |
✗ |
✓ |
✗ |
30.401 |
|
| 24868 |
\begin{align*}
{\mathrm e}^{y^{2}}-\csc \left (y\right ) \csc \left (x \right )^{2}+\left (2 x y \,{\mathrm e}^{y^{2}}-\csc \left (y\right ) \cot \left (y\right ) \cot \left (x \right )\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
30.425 |
|
| 24869 |
\begin{align*}
y^{\prime }&=\frac {-2 y-2 \ln \left (2 x +1\right )-2+2 x y^{3}+y^{3}+6 y^{2} \ln \left (2 x +1\right ) x +3 y^{2} \ln \left (2 x +1\right )+6 y \ln \left (2 x +1\right )^{2} x +3 y \ln \left (2 x +1\right )^{2}+2 \ln \left (2 x +1\right )^{3} x +\ln \left (2 x +1\right )^{3}}{\left (2 x +1\right ) \left (y+\ln \left (2 x +1\right )+1\right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
30.430 |
|
| 24870 |
\begin{align*}
\left (a x +b y\right ) y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
30.449 |
|
| 24871 |
\begin{align*}
\tan \left (y\right )-\tan \left (y\right )^{2} \cos \left (x \right )-x \sec \left (y\right )^{2} y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
30.458 |
|
| 24872 |
\begin{align*}
y^{\prime }&=\frac {2 x -y}{x +4 y} \\
y \left (1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
30.460 |
|
| 24873 |
\begin{align*}
y^{\prime }&=g \left (x \right ) \left (y-f \left (x \right )\right )^{2}+f^{\prime }\left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
30.481 |
|
| 24874 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime }+x \sin \left (y\right ) \cos \left (y\right )-x \left (x^{2}+1\right ) \cos \left (y\right )^{2}&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
30.507 |
|
| 24875 |
\begin{align*}
\sqrt {1+{y^{\prime }}^{2}}+x {y^{\prime }}^{2}+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
30.545 |
|
| 24876 |
\begin{align*}
y^{\prime \prime }+\sin \left (y\right )&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
30.581 |
|
| 24877 |
\begin{align*}
y^{\prime } \sin \left (y\right )+\cos \left (y\right ) \sin \left (x \right )&=\sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
30.585 |
|
| 24878 |
\begin{align*}
x^{2} y^{\prime \prime }-2 y^{\prime } x +2 y&=x^{2}+2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
30.587 |
|
| 24879 |
\begin{align*}
y&=y^{\prime } x +a \sqrt {1+{y^{\prime }}^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
30.602 |
|
| 24880 |
\begin{align*}
\left (2 \sqrt {y x}-x \right ) y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
30.664 |
|
| 24881 |
\begin{align*}
y^{\prime }&=\left (1+4 x +9 y\right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
30.670 |
|
| 24882 |
\begin{align*}
\left (\sqrt {1+y^{2}}+a x \right ) y^{\prime }+\sqrt {x^{2}+1}+a y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
30.672 |
|
| 24883 |
\begin{align*}
y^{\prime }&=-\left (1+k \right ) x^{k} y^{2}+a \,x^{1+k} \tan \left (x \right )^{m} y-a \tan \left (x \right )^{m} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
30.683 |
|
| 24884 |
\begin{align*}
2 x +4 y+\left (2 x -2 y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
30.706 |
|
| 24885 |
\begin{align*}
3 \sin \left (x \right ) y-\cos \left (y\right )+\left (x \sin \left (y\right )-3 \cos \left (x \right )\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
30.711 |
|
| 24886 |
\begin{align*}
x \left (y x -2\right ) y^{\prime }+x^{2} y^{3}+x y^{2}-2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
30.716 |
|
| 24887 |
\begin{align*}
x^{\prime }&=\frac {5 t x}{t^{2}+x^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
30.730 |
|
| 24888 |
\begin{align*}
2 y^{\prime } x -y&=1-\frac {2}{\sqrt {x}} \\
y \left (\infty \right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
30.740 |
|
| 24889 |
\begin{align*}
y {y^{\prime }}^{2}-\left (x +y\right ) y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
30.741 |
|
| 24890 |
\begin{align*}
x^{3} {y^{\prime }}^{3}-3 x^{2} y {y^{\prime }}^{2}+\left (3 x y^{2}+x^{6}\right ) y^{\prime }-y^{3}-2 y x^{5}&=0 \\
\end{align*} |
✓ |
✗ |
✓ |
✗ |
30.770 |
|
| 24891 |
\begin{align*}
\sec \left (x \right )^{2} \tan \left (y\right )+\sec \left (y\right )^{2} \tan \left (x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
30.795 |
|
| 24892 |
\begin{align*}
\left (x +y\right ) y^{\prime }&=x -y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
30.796 |
|
| 24893 |
\begin{align*}
\sec \left (x \right )^{2} \tan \left (y\right )+\sec \left (y\right )^{2} \tan \left (x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
30.802 |
|
| 24894 |
\begin{align*}
2 x^{2} \cos \left (y\right ) y^{\prime \prime }-2 x^{2} \sin \left (y\right ) {y^{\prime }}^{2}+x \cos \left (y\right ) y^{\prime }-\sin \left (y\right )&=\ln \left (x \right ) \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
30.802 |
|
| 24895 |
\begin{align*}
y^{\prime \prime }+4 \tan \left (x \right ) y^{\prime }-y x&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
30.803 |
|
| 24896 |
\begin{align*}
\left (x -2 \sqrt {y x}\right ) y^{\prime }&=y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
30.827 |
|
| 24897 |
\begin{align*}
y^{\prime }&=\frac {\cos \left (x \right )-2 x y^{2}}{2 x^{2} y} \\
y \left (\pi \right ) &= \frac {1}{\pi } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
30.843 |
|
| 24898 |
\begin{align*}
y \left (1+\frac {1}{x}\right )+\cos \left (y\right )+\left (x +\ln \left (x \right )-x \sin \left (y\right )\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
30.860 |
|
| 24899 |
\begin{align*}
t^{2} y^{\prime \prime }+t p \left (t \right ) y^{\prime }+q \left (t \right ) y&=0 \\
\end{align*} Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✗ |
30.868 |
|
| 24900 |
\begin{align*}
y^{\prime }&=-\frac {y \left (2 x +y\right )}{x \left (x +2 y\right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
30.868 |
|