| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 25901 |
\begin{align*}
y^{\prime }&=y^{2}+\cos \left (t^{2}\right ) \\
y \left (0\right ) &= 0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
29.204 |
|
| 25902 |
\begin{align*}
\left (\sinh \left (x \right )+x \cosh \left (y\right )\right ) y^{\prime }+y \cosh \left (x \right )+\sinh \left (y\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
29.213 |
|
| 25903 |
\begin{align*}
y^{\prime }+a y^{2}-b \,x^{\nu }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
29.213 |
|
| 25904 |
\begin{align*}
y-\left (3 \sqrt {y t}+t \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.286 |
|
| 25905 |
\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 |
|
| 25906 |
\begin{align*}
y^{\prime }&=\sqrt {1+y^{2}}\, \sin \left (y\right )^{2} \\
y \left (0\right ) &= {\frac {1}{2}} \\
\end{align*} |
✓ |
✓ |
✗ |
✓ |
29.306 |
|
| 25907 |
\begin{align*}
\left (x \cos \left (y\right )+\cos \left (x \right )\right ) y^{\prime }-y \sin \left (x \right )+\sin \left (y\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
29.329 |
|
| 25908 |
\begin{align*}
\cos \left (x \right ) \cos \left (y\right )+\left (\sin \left (x \right ) \cos \left (y\right )-\sin \left (x \right ) \sin \left (y\right )+y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.336 |
|
| 25909 |
\begin{align*}
y^{\prime }+y^{2}+a \,x^{m}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
29.387 |
|
| 25910 |
\begin{align*}
{y^{\prime }}^{3}-a {y^{\prime }}^{2}+b y+a b x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
29.398 |
|
| 25911 |
\begin{align*}
y^{\prime }&={\mathrm e}^{-t^{2}}+y^{2} \\
y \left (0\right ) &= 0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
29.401 |
|
| 25912 |
\begin{align*}
x^{2}+y^{2}+2 x y y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.408 |
|
| 25913 |
\begin{align*}
\left (\cos \left (y\right ) x^{2}+2 y \sin \left (x \right )\right ) y^{\prime }+2 \sin \left (y\right ) x +y^{2} \cos \left (x \right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
29.421 |
|
| 25914 |
\begin{align*}
y^{\prime }&=\frac {-y \sin \left (\frac {y}{x}\right ) x -\sin \left (\frac {y}{x}\right ) y+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*} |
✓ |
✓ |
✓ |
✗ |
29.491 |
|
| 25915 |
\begin{align*}
\tan \left (y\right )-2+\left (x \sec \left (y\right )^{2}+\frac {1}{y}\right ) y^{\prime }&=0 \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.507 |
|
| 25916 |
\begin{align*}
\cos \left (t \right ) y+\sin \left (t \right ) y^{\prime }&={\mathrm e}^{t} \\
y \left (1\right ) &= a \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.522 |
|
| 25917 |
\begin{align*}
y^{\prime }&=y^{2}+3 \lambda a -\lambda ^{2}-a \left (a +\lambda \right ) \tanh \left (\lambda x \right )^{2} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
29.556 |
|
| 25918 |
\begin{align*}
\left (\sin \left (x \right ) \sin \left (y\right )-x \,{\mathrm e}^{y}\right ) y^{\prime }&={\mathrm e}^{y}+\cos \left (x \right ) \cos \left (y\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
29.570 |
|
| 25919 |
\begin{align*}
y^{\prime \prime }+y&=0 \\
y \left (0\right ) &= 0 \\
y \left (2 \pi \right ) &= 1 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
29.577 |
|
| 25920 |
\begin{align*}
y^{\prime }&={\mathrm e}^{-t^{2}}+y^{2} \\
y \left (0\right ) &= 1 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
29.601 |
|
| 25921 |
\begin{align*}
\left (m +1\right ) x^{m} a \left (m \right ) y+x y^{\prime }+x^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
29.606 |
|
| 25922 |
\begin{align*}
y^{\prime }&=\frac {4 t -y}{t -6 y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.609 |
|
| 25923 |
\begin{align*}
x y^{\prime }-y&=x^{k} y^{n} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.611 |
|
| 25924 |
\begin{align*}
y^{\prime }&=a x +b y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
29.630 |
|
| 25925 |
\begin{align*}
\left (a \,x^{n}+b \right )^{2} y^{\prime \prime }+c \,x^{m} \left (a \,x^{n}+b \right ) y^{\prime }+\left (c \,x^{m}-a n \,x^{n -1}-1\right ) y&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
29.662 |
|
| 25926 |
\begin{align*}
\frac {y \left (2+x^{3} y\right )}{x^{3}}&=\frac {\left (1-2 x^{3} y\right ) y^{\prime }}{x^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.711 |
|
| 25927 |
\begin{align*}
2 y^{\prime }+y \cot \left (x \right )&=\frac {8 \cos \left (x \right )^{3}}{y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.720 |
|
| 25928 |
\begin{align*}
-y+t y^{\prime }&=t y^{3} \sin \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.722 |
|
| 25929 |
\begin{align*}
x^{\prime \prime }&=x-x^{3} \\
x \left (0\right ) &= \frac {\sqrt {2}}{2} \\
x^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
29.751 |
|
| 25930 |
\begin{align*}
y^{\prime }&={\mathrm e}^{-t^{2}}+y^{2} \\
y \left (0\right ) &= 0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
29.798 |
|
| 25931 |
\begin{align*}
y+2&=\left (2 x +y-4\right ) y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.802 |
|
| 25932 |
\begin{align*}
x y^{\prime }&=\sqrt {x^{2}+y^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
29.806 |
|
| 25933 |
\begin{align*}
2 t y^{\prime }-y&=2 t y^{3} \cos \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.837 |
|
| 25934 |
\begin{align*}
y \sec \left (x \right )^{2}+\sec \left (x \right ) \tan \left (x \right )+\left (\tan \left (x \right )+2 y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
29.840 |
|
| 25935 |
\begin{align*}
y-t +\left (t +2 y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.851 |
|
| 25936 |
\begin{align*}
\cos \left (y\right ) y^{\prime }+\left (\sin \left (y\right )-1\right ) \cos \left (x \right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.940 |
|
| 25937 |
\begin{align*}
\left (x -2 y\right ) y^{\prime }+2 x +y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.954 |
|
| 25938 |
\begin{align*}
\left (\operatorname {b2} x +\operatorname {a2} \right ) y+\operatorname {a1} x y^{\prime }+x^{3} y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
29.987 |
|
| 25939 |
\begin{align*}
\left (x +y-1\right ) y^{\prime }-y+2 x +3&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.993 |
|
| 25940 |
\begin{align*}
x y^{\prime }-2 \cos \left (x \right ) y&={\mathrm e}^{x} \sin \left (x \right )^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
29.998 |
|
| 25941 |
\begin{align*}
\cos \left (x \right ) y^{\prime }+y \,{\mathrm e}^{x^{2}}&=\sinh \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
30.003 |
|
| 25942 |
\begin{align*}
\left (2 x +1\right ) y^{\prime \prime }-2 \left (2 x^{2}-1\right ) y^{\prime }-4 \left (x +1\right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
30.010 |
|
| 25943 |
\begin{align*}
x y^{\prime }-y&=x^{2} y y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
30.010 |
|
| 25944 |
\begin{align*}
y^{\prime }&=-\left (1+k \right ) x^{k} y^{2}+a \,x^{1+k} \cot \left (x \right )^{m} y-a \cot \left (x \right )^{m} \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
30.016 |
|
| 25945 |
\begin{align*}
x +y+\left (x -y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
30.026 |
|
| 25946 |
\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 \(t=0\). |
✓ |
✓ |
✓ |
✗ |
30.034 |
|
| 25947 |
\begin{align*}
y-x +\left (x +y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
30.046 |
|
| 25948 |
\begin{align*}
2 x +y^{2}-\cos \left (x +y\right )+\left (2 y x -\cos \left (x +y\right )-{\mathrm e}^{y}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
30.104 |
|
| 25949 |
\begin{align*}
x^{3} {y^{\prime }}^{2}&=a \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
30.126 |
|
| 25950 |
\begin{align*}
x -y+2+\left (x +y-1\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
30.137 |
|
| 25951 |
\begin{align*}
\frac {x y}{\sqrt {x^{2}+1}}+2 y x -\frac {y}{x}+\left (\sqrt {x^{2}+1}+x^{2}-\ln \left (x \right )\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
30.147 |
|
| 25952 |
\begin{align*}
\left (1-{\mathrm e}^{-\frac {y}{x}}\right ) y^{\prime }+1-\frac {y}{x}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
30.165 |
|
| 25953 |
\begin{align*}
4 y x +\left (3 x^{2}+5 y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
30.193 |
|
| 25954 |
\begin{align*}
9 y^{\prime }&=-x^{m} \left (a \,x^{1-m}+b \right )^{2 \lambda +1} y^{3}-x^{-2 m} \left (9 a +2+9 b m \,x^{m -1}\right ) \left (a \,x^{1-m}+b \right )^{-\lambda -2} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
30.228 |
|
| 25955 |
\begin{align*}
x y^{\prime }&=a y^{2}+b y+c \,x^{n} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
30.229 |
|
| 25956 |
\begin{align*}
y^{\prime }&=t +y^{2} \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
30.233 |
|
| 25957 |
\begin{align*}
1+y \,{\mathrm e}^{y x}+\left (2 y+x \,{\mathrm e}^{y x}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
30.236 |
|
| 25958 |
\begin{align*}
x^{\prime \prime }-2 {x^{\prime }}^{2}+x^{\prime }-2 x&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
30.247 |
|
| 25959 |
\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*} |
✓ |
✓ |
✓ |
✓ |
30.276 |
|
| 25960 |
\begin{align*}
2 x y^{3}+\cos \left (x \right ) y+\left (3 x^{2} y^{2}+\sin \left (x \right )\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
30.329 |
|
| 25961 |
\begin{align*}
3 y \sin \left (x \right )-\cos \left (y\right )+\left (\sin \left (y\right ) x -3 \cos \left (x \right )\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
30.344 |
|
| 25962 |
\begin{align*}
1+t -2 y+\left (4 t -3 y-6\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
30.349 |
|
| 25963 |
\begin{align*}
x y^{\prime }+a x y^{2}+b y+c x +d&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
30.356 |
|
| 25964 |
\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 |
|
| 25965 |
\begin{align*}
x -2+4 \left (x +y-1\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
30.386 |
|
| 25966 |
\begin{align*}
y^{\prime }&=x \sqrt {1-y^{2}} \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
30.438 |
|
| 25967 |
\begin{align*}
y^{\prime }&=\frac {3 y^{2} \cot \left (x \right )+\sin \left (x \right ) \cos \left (x \right )}{2 y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
30.474 |
|
| 25968 |
\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*} |
✓ |
✓ |
✓ |
✗ |
30.478 |
|
| 25969 |
\begin{align*}
y^{\prime }&=\frac {x^{2} \left (1-y^{2}\right )+y \,{\mathrm e}^{\frac {y}{x}}}{x \left ({\mathrm e}^{\frac {y}{x}}+2 x^{2} y\right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
30.479 |
|
| 25970 |
\begin{align*}
\left (x -1\right )^{2} y^{\prime \prime }-2 \left (x -1\right ) y^{\prime }+2 y&=\left (x -1\right )^{2} \\
y \left (0\right ) &= 3 \\
y^{\prime }\left (0\right ) &= -6 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
30.496 |
|
| 25971 |
\begin{align*}
x y^{\prime }&=a \,x^{2 n +m} y^{2}+\left (b \,x^{n +m}-n \right ) y+c \,x^{m} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
30.513 |
|
| 25972 |
\begin{align*}
\frac {1}{y}+\sec \left (\frac {y}{x}\right )-\frac {x y^{\prime }}{y^{2}}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
30.527 |
|
| 25973 |
\begin{align*}
2 x y^{3}+\cos \left (x \right ) y+\left (3 x^{2} y^{2}+\sin \left (x \right )\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
30.529 |
|
| 25974 |
\begin{align*}
y^{\prime }&=\frac {-3 x^{2} y-y^{2}}{2 x^{3}+3 y x} \\
y \left (1\right ) &= -2 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
30.531 |
|
| 25975 |
\begin{align*}
x y^{\prime }&=\sqrt {16 x^{2}-y^{2}}+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
30.557 |
|
| 25976 |
\begin{align*}
x^{2} y^{\prime \prime }-3 x y^{\prime }+y&=\frac {\ln \left (x \right ) \sin \left (\ln \left (x \right )\right )+1}{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
30.559 |
|
| 25977 |
\begin{align*}
x \left (y+a \right ) y^{\prime }+b x +c y&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
30.566 |
|
| 25978 |
\begin{align*}
\left (4 y x -3\right ) y^{\prime }+y^{2}&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
30.569 |
|
| 25979 |
\begin{align*}
2 y^{\prime }-3 y^{2}-4 a y-b -c \,{\mathrm e}^{-2 a x}&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
30.573 |
|
| 25980 |
\begin{align*}
y^{\prime }&=\frac {x +y-1}{x -y-1} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
30.608 |
|
| 25981 |
\begin{align*}
y^{\prime \prime }+\alpha ^{2} y&=1 \\
y^{\prime }\left (0\right ) &= \alpha \\
y^{\prime }\left (\pi \right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✗ |
✓ |
30.609 |
|
| 25982 |
\begin{align*}
y \cos \left (\frac {x}{y}\right )-\left (y+x \cos \left (\frac {x}{y}\right )\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
30.615 |
|
| 25983 |
\begin{align*}
y+\left (y^{4}-3 x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
30.619 |
|
| 25984 |
\begin{align*}
\left (x \cos \left (y\right )+\cos \left (x \right )\right ) y^{\prime }-y \sin \left (x \right )+\sin \left (y\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
30.628 |
|
| 25985 |
\begin{align*}
2 y {y^{\prime }}^{3}-3 x y^{\prime }+2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
30.641 |
|
| 25986 |
\begin{align*}
y x -y^{2}-x^{2} y^{\prime }&=0 \\
y \left (1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
30.686 |
|
| 25987 |
\begin{align*}
2 x^{3} y^{\prime }&=\left (3 x^{2}+a y^{2}\right ) y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
30.688 |
|
| 25988 |
\begin{align*}
4 x -y+2+\left (x +y+3\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
30.691 |
|
| 25989 |
\begin{align*}
{y^{\prime }}^{2}-2 y^{\prime }-y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
30.715 |
|
| 25990 |
\begin{align*}
2 x^{2} y+3 y^{3}-\left (x^{3}+2 x y^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
30.731 |
|
| 25991 |
\begin{align*}
x^{2}+y^{2}-2 x y y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
30.736 |
|
| 25992 |
\begin{align*}
y^{2} {y^{\prime }}^{2}+2 x y y^{\prime }+a y^{2}+b x +c&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
30.790 |
|
| 25993 |
\begin{align*}
x^{7} y^{\prime }+5 x^{3} y^{2}+2 \left (x^{2}+1\right ) y^{3}&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
30.792 |
|
| 25994 |
\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 |
|
| 25995 |
\begin{align*}
y+7+\left (2 x +y+3\right ) y^{\prime }&=0 \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
30.803 |
|
| 25996 |
\begin{align*}
y^{\prime \prime }+4 \tan \left (x \right ) y^{\prime }-y x&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
30.803 |
|
| 25997 |
\begin{align*}
\left (t +x+2\right ) x^{\prime }+3 t -x-6&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
30.804 |
|
| 25998 |
\begin{align*}
x^{2} y^{\prime \prime }+2 x y^{\prime }+\left (l \,x^{2}+a x -n \left (n +1\right )\right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
30.822 |
|
| 25999 |
\begin{align*}
y^{\prime }&=a x +b y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
30.832 |
|
| 26000 |
\begin{align*}
x^{2} \left (4 x -3 y\right ) y^{\prime }&=\left (6 x^{2}-3 y x +2 y^{2}\right ) y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
30.842 |
|