| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 27101 |
\begin{align*}
y^{\prime }&=-\frac {\cos \left (y\right ) \left (x -\cos \left (y\right )+1\right )}{\left (\sin \left (y\right ) x -1\right ) \left (x +1\right )} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
76.715 |
|
| 27102 |
\begin{align*}
y+x y^{2}+\left (x -x^{2} y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
76.793 |
|
| 27103 |
\begin{align*}
y^{\prime }&=y^{2}+\lambda ^{2}+3 \lambda a +a \left (\lambda -a \right ) \cot \left (\lambda x \right )^{2} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
76.852 |
|
| 27104 |
\begin{align*}
y^{\prime } y^{\prime \prime }&=x y^{2}+x^{2} y y^{\prime } \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
76.861 |
|
| 27105 |
\begin{align*}
{y^{\prime }}^{3}+y^{2}&=x y y^{\prime } \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
76.907 |
|
| 27106 |
\begin{align*}
y y^{\prime }-y&=-\frac {2 x}{9}+\frac {A}{\sqrt {x}} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
76.910 |
|
| 27107 |
\begin{align*}
y^{\prime } y^{\prime \prime }-x^{2} y y^{\prime }-x y^{2}&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
76.959 |
|
| 27108 |
\begin{align*}
y^{\prime }&=y^{{1}/{3}} \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
77.033 |
|
| 27109 |
\begin{align*}
x^{3} y^{\prime \prime }+\left (a \,x^{2}+b x \right ) y^{\prime }+c y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
77.125 |
|
| 27110 |
\begin{align*}
4 x y^{2}+6 y+\left (5 x^{2} y+8 x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
77.136 |
|
| 27111 |
\begin{align*}
y^{\prime }&=\frac {y+\sqrt {x^{2}-y^{2}}}{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
77.147 |
|
| 27112 |
\begin{align*}
y y^{\prime }&=x^{2}+y \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
77.502 |
|
| 27113 |
\begin{align*}
\frac {1}{x^{2}-y x +y^{2}}&=\frac {y^{\prime }}{2 y^{2}-y x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
77.598 |
|
| 27114 |
\begin{align*}
{y^{\prime }}^{2} y^{2} \cos \left (a \right )^{2}-2 y^{\prime } x y \sin \left (a \right )^{2}+y^{2}-x^{2} \sin \left (a \right )^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
77.649 |
|
| 27115 |
\begin{align*}
2 x^{2} y+y^{3}-x^{3} y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
77.725 |
|
| 27116 |
\begin{align*}
y&={y^{\prime }}^{2}-x y^{\prime }+\frac {x^{3}}{2} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
77.798 |
|
| 27117 |
\begin{align*}
x^{2} y^{\prime }&=a \,x^{2} y^{2}+b \,x^{n}+c \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
77.811 |
|
| 27118 |
\begin{align*}
y y^{\prime }&=a \sin \left (\lambda x \right ) y+1 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
77.891 |
|
| 27119 |
\begin{align*}
2 t^{2}-7 y t +5 y^{2}+t y y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
77.904 |
|
| 27120 |
\begin{align*}
{y^{\prime }}^{2}-\left (x^{2}+x y^{2}+y^{4}\right ) {y^{\prime }}^{2}+\left (x y^{6}+x^{2} y^{4}+x^{3} y^{2}\right ) y^{\prime }-x^{3} y^{6}&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
77.909 |
|
| 27121 |
\begin{align*}
y y^{\prime }+\frac {a \left (6 x -1\right ) y}{2 x}&=-\frac {a^{2} \left (x -1\right ) \left (4 x -1\right )}{2 x} \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
77.925 |
|
| 27122 |
\begin{align*}
2 x^{2} y+y^{3}-x^{3} y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
78.055 |
|
| 27123 |
\begin{align*}
x^{2} y^{\prime }&=y^{2} a^{2} x^{2}-y x +b^{2} \ln \left (x \right )^{n} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
78.070 |
|
| 27124 |
\begin{align*}
x \left (1-2 y x \right ) y^{\prime }+y \left (1+2 y x \right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
78.126 |
|
| 27125 |
\begin{align*}
y^{2}+\left (y x +x^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
78.357 |
|
| 27126 |
\begin{align*}
y y^{\prime \prime }&=y^{2}-3 y y^{\prime }+3 {y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
78.464 |
|
| 27127 |
\begin{align*}
y^{\prime }&=\frac {-x \sin \left (2 y\right )-\sin \left (2 y\right )+x \cos \left (2 y\right )+x}{2 x \left (x +1\right )} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
78.584 |
|
| 27128 |
\begin{align*}
\left (y x +1\right ) y^{\prime }+y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
78.826 |
|
| 27129 |
\begin{align*}
y^{\prime \prime }&=-\frac {\left (\left (a +1\right ) x -1\right ) y^{\prime }}{x \left (x -1\right )}-\frac {\left (\left (a^{2}-b^{2}\right ) x +c^{2}\right ) y}{4 x^{2} \left (x -1\right )} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
78.961 |
|
| 27130 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+y^{2}&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
79.006 |
|
| 27131 |
\begin{align*}
{y^{\prime }}^{3}&=\frac {y^{2}}{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
79.026 |
|
| 27132 |
\begin{align*}
\left (a \tan \left (\lambda x \right )+b \right ) y^{\prime }&=y^{2}+k \tan \left (\mu x \right ) y-d^{2}+k d \tan \left (\mu x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
79.035 |
|
| 27133 |
\begin{align*}
\frac {2 y}{x}+\left (4 x^{2} y-3\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
79.165 |
|
| 27134 |
\begin{align*}
{y^{\prime }}^{3}+y^{\prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
79.302 |
|
| 27135 |
\begin{align*}
y^{\prime } \left (x +\frac {x^{2}}{y}\right )&=y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
79.336 |
|
| 27136 |
\begin{align*}
x y^{\prime }+y&=\ln \left (y^{\prime }\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
79.418 |
|
| 27137 |
\begin{align*}
12 x^{3} y+24 x^{2} y^{2}+\left (9 x^{4}+32 x^{3} y+4 y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
79.457 |
|
| 27138 |
\begin{align*}
\left (\operatorname {c0} \,x^{2}+\operatorname {b0} x +\operatorname {a0} \right ) y+a x y^{\prime }+\left (-x^{2}+1\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
79.511 |
|
| 27139 |
\begin{align*}
4 x^{2} y^{\prime \prime }+4 x^{5} y^{\prime }+\left (x^{3}+6 x^{2}+4\right ) y&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
79.628 |
|
| 27140 |
\begin{align*}
y y^{\prime }+\frac {a \left (1-\frac {b}{x^{2}}\right ) y}{x}&=\frac {a^{2} b}{x} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
79.772 |
|
| 27141 |
\begin{align*}
y+x y^{2}+\left (x -x^{2} y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
79.918 |
|
| 27142 |
\begin{align*}
y^{\prime }&=\frac {2 x \ln \left (\frac {1}{x -1}\right )-\coth \left (\frac {x +1}{x -1}\right )+\coth \left (\frac {x +1}{x -1}\right ) y^{2}-2 \coth \left (\frac {x +1}{x -1}\right ) x^{2} y+\coth \left (\frac {x +1}{x -1}\right ) x^{4}}{\ln \left (\frac {1}{x -1}\right )} \\
\end{align*} |
✓ |
✗ |
✓ |
✗ |
79.925 |
|
| 27143 |
\begin{align*}
\frac {-x y^{\prime }+y}{\sqrt {x^{2}+y^{2}}}&=m \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
80.047 |
|
| 27144 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+y+y^{3}&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
80.112 |
|
| 27145 |
\begin{align*}
x^{3} \left (\ln \left (x \right )-1\right ) y^{\prime \prime }-x^{2} y^{\prime }+y x&=2 \ln \left (x \right ) \\
y \left (\infty \right ) &= 0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
80.342 |
|
| 27146 |
\begin{align*}
y^{\prime }&=\frac {x^{{5}/{3}}}{y+x^{{4}/{3}}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
80.438 |
|
| 27147 |
\begin{align*}
x \left (x -y\right ) y^{\prime }+y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
80.546 |
|
| 27148 |
\begin{align*}
y {y^{\prime \prime }}^{3}+y^{3} {y^{\prime }}^{5}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
80.707 |
|
| 27149 |
\begin{align*}
\left (x +2 y\right ) {y^{\prime }}^{3}+3 \left (x +y\right ) {y^{\prime }}^{2}+2 x y y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
80.839 |
|
| 27150 |
\begin{align*}
y y^{\prime }-\frac {a \left (1+\frac {2 b}{x^{2}}\right ) y}{2}&=\frac {a^{2} \left (3 x +\frac {4 b}{x}\right )}{16} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
80.878 |
|
| 27151 |
\begin{align*}
y^{\prime }&=y^{2}-3 x^{2}-1 \\
y \left (0\right ) &= 1 \\
\end{align*} |
✗ |
✗ |
✓ |
✗ |
80.907 |
|
| 27152 |
\begin{align*}
y^{\prime }&=\sqrt {25-y^{2}} \\
y \left (3\right ) &= -6 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
81.023 |
|
| 27153 |
\begin{align*}
3 y+2 x y^{\prime }+4 x y^{2}+3 x^{2} y y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
81.384 |
|
| 27154 |
\begin{align*}
y y^{\prime }-y&=2 A^{2}-A \sqrt {x} \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
81.391 |
|
| 27155 |
\begin{align*}
x^{\prime }-x+2 y-z&=t^{2} \\
y^{\prime }+3 x-y+4 z&={\mathrm e}^{t} \\
z^{\prime }-2 x+y-z&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
81.501 |
|
| 27156 |
\begin{align*}
2 t +\left (y-3 t \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
81.533 |
|
| 27157 |
\begin{align*}
y^{\prime }&=\frac {2 x y \,{\mathrm e}^{\frac {x^{2}}{y^{2}}}}{y^{2}+y^{2} {\mathrm e}^{\frac {x^{2}}{y^{2}}}+2 x^{2} {\mathrm e}^{\frac {x^{2}}{y^{2}}}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
81.734 |
|
| 27158 |
\begin{align*}
y^{\prime }&=\frac {c t -a y}{A t +b y} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
81.775 |
|
| 27159 |
\begin{align*}
m y^{\prime \prime }+k y&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
81.775 |
|
| 27160 |
\begin{align*}
y^{\prime \prime }&=-\frac {\left (a p \,x^{b}+q \right ) y^{\prime }}{x \left (a \,x^{b}-1\right )}-\frac {\left (a r \,x^{b}+s \right ) y}{x^{2} \left (a \,x^{b}-1\right )} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
81.789 |
|
| 27161 |
\begin{align*}
{y^{\prime }}^{2}+a x y^{\prime }+b y+c \,x^{2}&=0 \\
\end{align*} |
✓ |
✗ |
✓ |
✗ |
81.808 |
|
| 27162 |
\begin{align*}
\left (5+2 x \right )^{2} y^{\prime \prime }-6 \left (5-2 x \right ) y^{\prime }+8 y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
81.977 |
|
| 27163 |
\begin{align*}
3 y-7 x +7-\left (3 x -7 y-3\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
82.389 |
|
| 27164 |
\begin{align*}
y^{\prime }&=f \left (x \right ) y^{2}-a \tanh \left (\lambda x \right )^{2} \left (a f \left (x \right )+\lambda \right )+\lambda a \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
82.390 |
|
| 27165 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime \prime }+1+{y^{\prime }}^{2}&=x \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
82.399 |
|
| 27166 |
\begin{align*}
y^{\prime }&=-\frac {x +2}{x \left (x +1\right )^{2}}-\frac {\left (-x^{2}+x +2\right ) y}{x \left (x +1\right )}+\left (x +1\right ) y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
82.543 |
|
| 27167 |
\begin{align*}
y&=\left (2 x +3 y\right ) y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
82.610 |
|
| 27168 |
\begin{align*}
\left (y+a x +b \right ) y^{\prime }&=\alpha y+\beta x +\gamma \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
82.632 |
|
| 27169 |
\begin{align*}
x_{1}^{\prime }&=2 x_{1}+2 x_{2}+x_{3} \\
x_{2}^{\prime }&=6 x_{1}-x_{2} \\
x_{3}^{\prime }&=-x_{1}-2 x_{2}-x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
82.655 |
|
| 27170 |
\begin{align*}
\left (6 x -5 y+4\right ) y^{\prime }&=1+2 x -y \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
82.740 |
|
| 27171 |
\begin{align*}
y^{\prime }&=\frac {x +y}{x -y} \\
y \left (5\right ) &= 8 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
83.207 |
|
| 27172 |
\begin{align*}
x \left (x +1\right ) y^{\prime \prime }+\left (a x +b \right ) y^{\prime }+c y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
83.336 |
|
| 27173 |
\begin{align*}
y^{\prime }&=3 x y^{{1}/{3}} \\
y \left (-1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
83.362 |
|
| 27174 |
\begin{align*}
2 y y^{\prime }&=\left (7 a x +5 b \right ) y-3 a^{2} x^{3}-2 c \,x^{2}-3 b^{2} x \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
83.497 |
|
| 27175 |
\begin{align*}
y^{\prime }&=\frac {3 x -y+1}{2 x +y+4} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
83.615 |
|
| 27176 |
\begin{align*}
2 x \left (x -1\right ) y^{\prime \prime }+\left (2 x -1\right ) y^{\prime }+\left (a x +b \right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
83.658 |
|
| 27177 |
\begin{align*}
x \left (-y x +1\right ) y^{\prime }+\left (y x +1\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
83.664 |
|
| 27178 |
\begin{align*}
y+2 \left (1-x \right ) y^{\prime }+4 x \left (1-x \right ) y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
83.796 |
|
| 27179 |
\begin{align*}
\left (x^{2}-1\right ) y^{\prime \prime }+x y^{\prime }+f \left (x \right ) y&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
84.074 |
|
| 27180 |
\begin{align*}
{y^{\prime }}^{2}+a \,x^{2}+b y&=0 \\
\end{align*} |
✓ |
✗ |
✓ |
✗ |
84.177 |
|
| 27181 |
\begin{align*}
\left (y-3 x +3\right ) y^{\prime }&=2 y-x -4 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
84.217 |
|
| 27182 |
\begin{align*}
\left (a \sqrt {1+{y^{\prime }}^{2}}-x y^{\prime }\right ) y^{\prime \prime }-{y^{\prime }}^{2}-1&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
84.245 |
|
| 27183 |
\begin{align*}
x y y^{\prime }&=-n y^{2}+a \left (1+2 n \right ) x y+b y-a^{2} n \,x^{2}-a b x +c \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
84.415 |
|
| 27184 |
\begin{align*}
y y^{\prime }&=\left (2 \ln \left (x \right )+a +1\right ) y+x \left (-\ln \left (x \right )^{2}-a \ln \left (x \right )+b \right ) \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
84.477 |
|
| 27185 |
\begin{align*}
y^{\prime \prime }&=-\frac {2 x y^{\prime }}{x^{2}-1}-\frac {\left (-a^{2}-\lambda \left (x^{2}-1\right )\right ) y}{\left (x^{2}-1\right )^{2}} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
84.609 |
|
| 27186 |
\begin{align*}
-\left (4 k^{2}+\left (-4 p^{2}+1\right ) \left (-x^{2}+1\right )\right ) y-8 x \left (-x^{2}+1\right ) y^{\prime }+4 \left (-x^{2}+1\right )^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
84.694 |
|
| 27187 |
\begin{align*}
-\left (k^{2}-p \left (1+p \right ) \left (-x^{2}+1\right )\right ) y-2 x \left (-x^{2}+1\right ) y^{\prime }+\left (-x^{2}+1\right )^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
84.813 |
|
| 27188 |
\begin{align*}
y^{\prime }&=\frac {\left (1+2 y\right ) \left (y+1\right )}{x \left (-2 y-2+x +2 y x \right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
84.898 |
|
| 27189 |
\begin{align*}
y^{\prime }&=\frac {2 x}{y} \\
y \left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
85.439 |
|
| 27190 |
\begin{align*}
x^{2}-y^{2}-\frac {2 y^{3} y^{\prime }}{x}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
85.551 |
|
| 27191 |
\begin{align*}
\left (\operatorname {a4} \,x^{4}+\operatorname {a2} \,x^{2}+\operatorname {a0} \right ) y-2 x \left (-x^{2}+1\right ) y^{\prime }+\left (-x^{2}+1\right )^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
85.697 |
|
| 27192 |
\begin{align*}
a_{1} x +k y+c_{1} +\left (k x +b_{2} y+c_{2} \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
85.750 |
|
| 27193 |
\begin{align*}
-\left (4 k^{2}+\left (4 p^{2}+1\right ) \left (-x^{2}+1\right )\right ) y-8 x \left (-x^{2}+1\right ) y^{\prime }+4 \left (-x^{2}+1\right )^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
85.793 |
|
| 27194 |
\begin{align*}
x^{n +1} y^{\prime }&=x^{2 n} a y^{2}+c \,x^{m}+d \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
85.931 |
|
| 27195 |
\begin{align*}
y^{\prime }&=\frac {x}{y+\sqrt {x^{2}+1}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
85.950 |
|
| 27196 |
\begin{align*}
x \left (2 x^{3}+y\right ) y^{\prime }&=6 y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
85.961 |
|
| 27197 |
\begin{align*}
y^{\prime }&=\lambda \arccos \left (x \right )^{n} \left (y-a \,x^{m}-b \right )^{2}+a m \,x^{m -1} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
86.013 |
|
| 27198 |
\begin{align*}
y^{\prime }&=x^{2}-y^{2} \\
y \left (0\right ) &= 2 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
86.093 |
|
| 27199 |
\begin{align*}
y^{\prime }&=\frac {y^{3}}{\sqrt {a \,x^{2}+b x +c}}+y^{2} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
86.231 |
|
| 27200 |
\begin{align*}
a x y-b +\left (c x y-d \right ) x y^{\prime }&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
86.265 |
|