| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 24001 |
\begin{align*}
y^{\prime }&=\frac {y \left (x -y\right ) \left (1+y\right )}{x \left (y x +x -y\right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
23.357 |
|
| 24002 |
\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^{2} \sin \left (\frac {y}{2 x}\right ) \cos \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*} |
✓ |
✓ |
✓ |
✗ |
23.361 |
|
| 24003 |
\begin{align*}
3 t^{2}+3 y^{2}+6 t y y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
23.368 |
|
| 24004 |
\begin{align*}
y^{\prime }&=\frac {1}{y+\sqrt {x}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
23.404 |
|
| 24005 |
\begin{align*}
y^{\prime \prime }&=y f^{\prime }\left (x \right )+\left (f \left (x \right )-2 y\right ) y^{\prime } \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
23.438 |
|
| 24006 |
\begin{align*}
y^{\prime \prime }+y^{\prime } x -n y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
23.453 |
|
| 24007 |
\begin{align*}
-y+y^{\prime } x&=x^{2} y y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
23.455 |
|
| 24008 |
\begin{align*}
\left (y^{3}-t \right ) y^{\prime }&=y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
23.463 |
|
| 24009 |
\begin{align*}
x +y y^{\prime }&=a {y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
23.471 |
|
| 24010 |
\begin{align*}
x^{2} y^{\prime \prime }+y^{\prime } x +y&=\frac {1}{x^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
23.471 |
|
| 24011 |
\begin{align*}
\left (x -y\right ) y^{\prime }&=x +y+1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
23.483 |
|
| 24012 |
\begin{align*}
y^{\prime }&=\frac {2 x y^{2}}{1-x^{2} y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
23.490 |
|
| 24013 |
\begin{align*}
{y^{\prime }}^{2}+a x y^{\prime }-b \,x^{2}-c&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
23.513 |
|
| 24014 |
\begin{align*}
y^{\prime }&=\frac {y}{y^{3}-3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
23.514 |
|
| 24015 |
\begin{align*}
y^{\prime \prime } x +\left (a \,x^{2}+b x +2\right ) y^{\prime }+\left (c \,x^{2}+d x +b \right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
23.521 |
|
| 24016 |
\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*} |
✓ |
✓ |
✓ |
✗ |
23.536 |
|
| 24017 |
\begin{align*}
y^{\prime }&=\frac {x}{y}+\frac {y}{x} \\
y \left (1\right ) &= -4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
23.551 |
|
| 24018 |
\begin{align*}
\left (x^{2}+2 y x \right ) y^{\prime }-3 x^{2}+2 y x -y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
23.566 |
|
| 24019 |
\begin{align*}
y^{\prime }&=a \tan \left (\lambda x \right )^{n} y^{2}-a \,b^{2} \tan \left (\lambda x \right )^{n +2}+b \lambda \tan \left (\lambda x \right )^{2}+b \lambda \\
\end{align*} |
✓ |
✗ |
✗ |
✗ |
23.600 |
|
| 24020 |
\begin{align*}
y^{\prime }&=\frac {x y^{2}-\frac {\sin \left (2 x \right )}{2}}{\left (-x^{2}+1\right ) y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
23.613 |
|
| 24021 |
\begin{align*}
\left (a \,x^{2}+2 b x +c \right ) y^{\prime \prime }+\left (a x +b \right ) y^{\prime }+d y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
23.616 |
|
| 24022 |
\begin{align*}
y^{\prime }-\frac {9 x y}{9 x^{2}+49}&=x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
23.621 |
|
| 24023 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime } x +a y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
23.635 |
|
| 24024 |
\begin{align*}
y^{\prime }&=\frac {y \left (x^{3}+x^{2} y+y^{2}\right )}{x^{2} \left (x -1\right ) \left (x +y\right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
23.655 |
|
| 24025 |
\begin{align*}
y^{\prime }-\frac {y}{x}&=-\frac {1}{2 y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
23.658 |
|
| 24026 |
\begin{align*}
y^{\prime }&=\frac {x}{y}+\frac {y}{x} \\
y \left (-1\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
23.668 |
|
| 24027 |
\begin{align*}
p^{\prime }&=a p-b p^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
23.677 |
|
| 24028 |
\begin{align*}
\left (\frac {\operatorname {e1} \left (a +x \right )}{\left (\left (a +x \right )^{2}+y^{2}\right )^{{3}/{2}}}+\frac {\operatorname {e2} \left (x -a \right )}{\left (\left (x -a \right )^{2}+y^{2}\right )^{{3}/{2}}}\right ) y^{\prime }-y \left (\frac {\operatorname {e1}}{\left (\left (a +x \right )^{2}+y^{2}\right )^{{3}/{2}}}+\frac {\operatorname {e2}}{\left (\left (x -a \right )^{2}+y^{2}\right )^{{3}/{2}}}\right )&=0 \\
\end{align*} |
✓ |
✗ |
✗ |
✗ |
23.708 |
|
| 24029 |
\begin{align*}
x -4 y-9+\left (4 x +y-2\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
23.735 |
|
| 24030 |
\begin{align*}
\frac {\sin \left (2 t \right )}{\cos \left (2 y\right )}+\frac {\ln \left (y\right ) y^{\prime }}{\ln \left (t \right )}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
23.746 |
|
| 24031 |
\begin{align*}
\left (3 x +2 y-7\right ) y^{\prime }&=2 x -3 y+6 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
23.756 |
|
| 24032 |
\begin{align*}
y^{\prime }&=\left (\lambda +a \sin \left (\lambda x \right )^{2}\right ) y^{2}+\lambda -a +a \sin \left (\lambda x \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
23.763 |
|
| 24033 |
\begin{align*}
y x -\left (y^{4}+x^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
23.775 |
|
| 24034 |
\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*} |
✓ |
✓ |
✓ |
✓ |
23.789 |
|
| 24035 |
\begin{align*}
y^{\prime }&=\frac {4 t -y}{t -6 y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
23.801 |
|
| 24036 |
\begin{align*}
y^{\prime \prime } x -y^{\prime } x -a y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
23.803 |
|
| 24037 |
\begin{align*}
y \left (8 x -9 y\right )+2 x \left (x -3 y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
23.805 |
|
| 24038 |
\begin{align*}
y^{\prime }&=x^{2}+y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
23.880 |
|
| 24039 |
\begin{align*}
y^{\prime }&=\left (\lambda +a \cos \left (\lambda x \right )^{2}\right ) y^{2}+\lambda -a +a \cos \left (\lambda x \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
23.885 |
|
| 24040 |
\begin{align*}
6 y-5 y^{\prime }+y^{\prime \prime }&=2 \,{\mathrm e}^{-2 x} \left (9 \sin \left (2 x \right )+4 \cos \left (2 x \right )\right ) \\
y \left (\infty \right ) &= 0 \\
\end{align*} |
✗ |
✓ |
✗ |
✓ |
23.891 |
|
| 24041 |
\begin{align*}
c y+a \cot \left (b x \right ) y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
23.900 |
|
| 24042 |
\begin{align*}
4 x +3 y^{2}+2 y y^{\prime } x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
23.904 |
|
| 24043 |
\begin{align*}
y^{\prime }&=\sqrt {y^{2}-9} \\
y \left (1\right ) &= 4 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
23.907 |
|
| 24044 |
\begin{align*}
\left (a \,x^{2}+b x +c \right ) y^{\prime \prime }+\left (d x +k \right ) y^{\prime }+\left (d -2 a \right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
23.915 |
|
| 24045 |
\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*} |
✓ |
✓ |
✗ |
✗ |
23.921 |
|
| 24046 |
\begin{align*}
\left (a x +b \right )^{2} y^{\prime }+\left (a x +b \right ) y^{3}+c y^{2}&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
23.926 |
|
| 24047 |
\begin{align*}
y^{\prime }&=\frac {x \sqrt {x^{2}+y^{2}}+y^{2}}{y x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
23.928 |
|
| 24048 |
\begin{align*}
y^{\prime }+x \sin \left (2 y\right )&=2 x \,{\mathrm e}^{-x^{2}} \cos \left (y\right )^{2} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
23.944 |
|
| 24049 |
\begin{align*}
\frac {-y+y^{\prime } x}{\sqrt {x^{2}-y^{2}}}&=y^{\prime } x \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
23.975 |
|
| 24050 |
\begin{align*}
4 y y^{\prime \prime }&=12 y^{2}+3 {y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
24.042 |
|
| 24051 |
\begin{align*}
y^{\prime \prime } x +\left (a \,x^{2}+b x +c \right ) y^{\prime }+\left (A \,x^{2}+B x +\operatorname {C0} \right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
24.050 |
|
| 24052 |
\begin{align*}
y^{\prime }-\frac {4 t y}{4 t^{2}-9}&=t \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.074 |
|
| 24053 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=4 \,{\mathrm e}^{-x} \\
y \left (\infty \right ) &= 0 \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
24.101 |
|
| 24054 |
\begin{align*}
y^{\prime }+\frac {3 y}{x}&=\frac {3 y^{2} x^{4}+10 x^{2} y+6}{x^{3} \left (2 x^{2} y+5\right )} \\
y \left (1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.114 |
|
| 24055 |
\begin{align*}
x +y y^{\prime }+y-y^{\prime } x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.117 |
|
| 24056 |
\begin{align*}
x +2 y+\left (-1+y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.132 |
|
| 24057 |
\begin{align*}
2 x +\frac {1}{y}+\left (\frac {1}{y}-\frac {x}{y^{2}}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
24.149 |
|
| 24058 |
\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*} |
✓ |
✓ |
✓ |
✗ |
24.155 |
|
| 24059 |
\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*} |
✗ |
✓ |
✓ |
✗ |
24.187 |
|
| 24060 |
\begin{align*}
y^{\prime }+\frac {y}{x}&=\frac {y^{2}}{x} \\
y \left (-1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.193 |
|
| 24061 |
\begin{align*}
y&=y^{\prime } x +\frac {a y^{\prime }}{\sqrt {1+{y^{\prime }}^{2}}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
24.216 |
|
| 24062 |
\begin{align*}
x -2 y-1+\left (3 x -6 y+2\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.219 |
|
| 24063 |
\begin{align*}
-\csc \left (x \right )^{2} y+\cot \left (x \right ) y^{\prime }+y^{\prime \prime }&=\cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
24.226 |
|
| 24064 |
\begin{align*}
\sin \left (x^{\prime }\right )+y^{3} x&=\sin \left (y \right ) \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
24.251 |
|
| 24065 |
\begin{align*}
3 t y+y^{2}+\left (t^{2}+t y\right ) y^{\prime }&=0 \\
y \left (2\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.259 |
|
| 24066 |
\begin{align*}
y^{\prime }-\sqrt {\frac {a y^{4}+b y^{2}+1}{a \,x^{4}+b \,x^{2}+1}}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.277 |
|
| 24067 |
\begin{align*}
r^{\prime }&=\frac {r^{2}+t^{2}}{r t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.282 |
|
| 24068 |
\begin{align*}
y^{\prime \prime }+\frac {y^{\prime }}{x}-\frac {y}{x^{2}}&=0 \\
y \left (1\right ) &= 1 \\
y^{\prime }\left (1\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.290 |
|
| 24069 |
\begin{align*}
x \left (a +x y^{n}\right ) y^{\prime }+b y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.297 |
|
| 24070 |
\begin{align*}
y^{\prime \prime }-x^{3} y-x^{4}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
24.298 |
|
| 24071 |
\begin{align*}
y^{\prime \prime }+\frac {y^{\prime }}{x^{{1}/{3}}}+\left (\frac {1}{4 x^{{2}/{3}}}-\frac {1}{6 x^{{1}/{3}}}-\frac {6}{x^{2}}\right ) y&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
24.334 |
|
| 24072 |
\begin{align*}
y^{\prime }&=1+y+y^{2} \cos \left (t \right ) \\
y \left (0\right ) &= 0 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
24.337 |
|
| 24073 |
\begin{align*}
y^{\prime \prime }+y&=0 \\
y \left (0\right ) &= 3 \\
y^{\prime }\left (\frac {\pi }{2}\right ) &= 2 \\
\end{align*} |
✓ |
✗ |
✗ |
✗ |
24.357 |
|
| 24074 |
\begin{align*}
{\mathrm e}^{y}+\cos \left (x \right ) y+\left (x \,{\mathrm e}^{y}+\sin \left (x \right )\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
24.397 |
|
| 24075 |
\begin{align*}
y^{3}+2 x^{2} y+\left (-3 x^{3}-2 x y^{2}\right ) y^{\prime }&=0 \\
y \left (1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
24.402 |
|
| 24076 |
\begin{align*}
4 x -3 y+\left (-3 x +2 y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.442 |
|
| 24077 |
\begin{align*}
{\mathrm e}^{y}+\cos \left (x \right ) y+\left (x \,{\mathrm e}^{y}+\sin \left (x \right )\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
24.464 |
|
| 24078 |
\begin{align*}
8 x +1&=y {y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.467 |
|
| 24079 |
\begin{align*}
y^{\prime }&=\frac {t +y+1}{t -y+3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.473 |
|
| 24080 |
\begin{align*}
\left (3 x^{3}+6 x^{2} y-3 x y^{2}+20 y^{3}\right ) y^{\prime }+4 x^{3}+9 x^{2} y+6 x y^{2}-y^{3}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
24.477 |
|
| 24081 |
\begin{align*}
y^{\prime }&=\frac {2 x +3 y}{x -4 y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.484 |
|
| 24082 |
\begin{align*}
y^{\prime }&=\frac {x +1+2 \sqrt {4 x^{2} y+1}\, x^{3}}{2 x^{3} \left (x +1\right )} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
24.486 |
|
| 24083 |
\begin{align*}
a^{2}+y^{2}+2 x \sqrt {a x -x^{2}}\, y^{\prime }&=0 \\
y \left (a \right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
24.511 |
|
| 24084 |
\begin{align*}
y^{\prime }+\frac {y \ln \left (y\right )}{x}&=\frac {y}{x^{2}}-\ln \left (y\right )^{2} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
24.520 |
|
| 24085 |
\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*} |
✓ |
✓ |
✓ |
✓ |
24.523 |
|
| 24086 |
\begin{align*}
2 y^{\prime } x +y \left (1+y^{2}\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.544 |
|
| 24087 |
\begin{align*}
\left (1-4 \cos \left (x \right )^{2}\right ) y^{\prime }&=\tan \left (x \right ) \left (1+4 \cos \left (x \right )^{2}\right ) y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.554 |
|
| 24088 |
\begin{align*}
z^{\prime \prime }+g z&=0 \\
z \left (\frac {\pi }{3 \sqrt {g}}\right ) &= 5 \\
z \left (\frac {2 \pi }{3 \sqrt {g}}\right ) &= \frac {\pi }{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.568 |
|
| 24089 |
\begin{align*}
y {y^{\prime }}^{2}-4 a^{2} x y^{\prime }+a^{2} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.575 |
|
| 24090 |
\begin{align*}
x^{2} y^{\prime \prime }+a \,x^{2} y^{\prime }+f \left (x \right ) y&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
24.577 |
|
| 24091 |
\begin{align*}
\left (x +y\right ) y^{\prime }+x -y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.579 |
|
| 24092 |
\begin{align*}
x -y \cos \left (\frac {y}{x}\right )+x \cos \left (\frac {y}{x}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.607 |
|
| 24093 |
\begin{align*}
\left (x -y\right ) y^{\prime }&=y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.645 |
|
| 24094 |
\begin{align*}
2 x -4 y+6+\left (x +y-2\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
24.667 |
|
| 24095 |
\begin{align*}
y^{\prime }&=\frac {1}{\sqrt {x^{2}+4 y^{2}-4}} \\
y \left (3\right ) &= 2 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
24.682 |
|
| 24096 |
\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*} |
✓ |
✓ |
✓ |
✓ |
24.727 |
|
| 24097 |
\begin{align*}
x y^{3} y^{\prime }+y^{4}-x \sin \left (x \right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.742 |
|
| 24098 |
\begin{align*}
y^{\prime }&=\cos \left (y\right ) \\
y \left (-1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
24.747 |
|
| 24099 |
\begin{align*}
y^{\prime } x +\cos \left (x^{2}\right )&=827 y \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
24.755 |
|
| 24100 |
\begin{align*}
\left (x -2 y+1\right ) y^{\prime }&=1+2 x -y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
24.785 |
|