| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 25701 |
\begin{align*}
\operatorname {a2} y+x \left (\operatorname {b1} x +\operatorname {a1} \right ) y^{\prime }+x^{3} y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
90.431 |
|
| 25702 |
\begin{align*}
y y^{\prime }-y&=\frac {6}{25} x -A \,x^{2} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
90.661 |
|
| 25703 |
\begin{align*}
{\mathrm e}^{x} \cos \left (y\right )-x^{2}+\left ({\mathrm e}^{y} \sin \left (x \right )+y^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
90.727 |
|
| 25704 |
\begin{align*}
x -\sqrt {x^{2}+y^{2}}+\left (y-\sqrt {x^{2}+y^{2}}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
90.759 |
|
| 25705 |
\begin{align*}
y^{\prime \prime }+5 a y^{\prime }-6 y^{2}+6 a^{2} y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
90.819 |
|
| 25706 |
\begin{align*}
y^{\prime }&=f \left (x \right ) y^{2}-a \coth \left (\lambda x \right )^{2} \left (a f \left (x \right )+\lambda \right )+a \lambda \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
90.852 |
|
| 25707 |
\begin{align*}
\left (-x^{2}+1\right ) \eta ^{\prime \prime }-\left (x +1\right ) \eta ^{\prime }+\left (1+k \right ) \eta &=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
91.459 |
|
| 25708 |
\begin{align*}
y^{\prime \prime }&=-\frac {2 x y^{\prime }}{x^{2}-1}-\frac {\left (\left (x^{2}-1\right ) \left (a \,x^{2}+b x +c \right )-k^{2}\right ) y}{\left (x^{2}-1\right )^{2}} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
91.480 |
|
| 25709 |
\begin{align*}
y y^{\prime }&=x^{n -1} \left (\left (2 n +1\right ) x +a n \right ) y-n \,x^{2 n} \left (a +x \right ) \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
91.546 |
|
| 25710 |
\begin{align*}
y^{\prime }&=x^{2}+y^{2} \\
y \left (0\right ) &= 2 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
91.779 |
|
| 25711 |
\begin{align*}
y^{\prime \prime }+\mu \left (1-y^{2}\right ) y^{\prime }+y&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
91.937 |
|
| 25712 |
\begin{align*}
\left (x^{2}-1\right ) y^{\prime \prime }+2 \left (n +1\right ) x y^{\prime }-\left (\nu +n +1\right ) \left (\nu -n \right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
91.958 |
|
| 25713 |
\begin{align*}
\left (b x +a \right ) y+\left (1-2 x \right ) y^{\prime }+2 \left (1-x \right ) x y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
92.082 |
|
| 25714 |
\begin{align*}
x^{2}-y^{2}-\frac {2 y^{3} y^{\prime }}{x}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
92.121 |
|
| 25715 |
\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 )+a \lambda \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
92.165 |
|
| 25716 |
\begin{align*}
y^{\prime } x&=a \cot \left (\lambda x \right )^{m} y^{2}+k y+a \,b^{2} x^{2 k} \cot \left (\lambda x \right )^{m} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
92.171 |
|
| 25717 |
\begin{align*}
y^{\prime }&=\sqrt {25-y^{2}} \\
y \left (4\right ) &= -5 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
92.370 |
|
| 25718 |
\begin{align*}
{y^{\prime }}^{3}-y {y^{\prime }}^{2}+y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
92.487 |
|
| 25719 |
\begin{align*}
x^{3} y^{\prime }&=\left (2 x^{2}+y^{2}\right ) y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
92.525 |
|
| 25720 |
\begin{align*}
y^{\prime }+\frac {a x +b y+c}{b x +f y+e}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
92.583 |
|
| 25721 |
\begin{align*}
y^{2}+\left (y x +x^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
92.763 |
|
| 25722 |
\begin{align*}
y^{2}+\left (y x +x^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
92.806 |
|
| 25723 |
\begin{align*}
\left (1-x \right ) y^{\prime \prime }-y^{\prime } x +{\mathrm e}^{x} y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 4 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
93.184 |
|
| 25724 |
\begin{align*}
p \left (1+p \right ) y-2 y^{\prime } x +\left (-x^{2}+1\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
93.210 |
|
| 25725 |
\begin{align*}
-x^{\prime \prime }&=1-x-x^{2} \\
x \left (a \right ) &= 0 \\
x \left (b \right ) &= 0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
93.271 |
|
| 25726 |
\begin{align*}
y^{\prime }&=x \left (y-4\right )^{2}-2 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
93.301 |
|
| 25727 |
\begin{align*}
-\left (m^{2}-n \left (n +1\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*} |
✗ |
✓ |
✓ |
✗ |
93.378 |
|
| 25728 |
\begin{align*}
\left (t^{2}+1\right ) y^{\prime \prime }-y^{\prime } t +t^{2} y&=\cos \left (t \right ) \\
y \left (0\right ) &= y_{1} \\
y^{\prime }\left (0\right ) &= y_{1} \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
93.398 |
|
| 25729 |
\begin{align*}
2 a^{2} y-y^{\prime } x +2 \left (-x^{2}+1\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
93.423 |
|
| 25730 |
\begin{align*}
\left (a \,x^{2}+2 y x -a y^{2}\right ) y^{\prime }+x^{2}-2 a x y-y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
93.431 |
|
| 25731 |
\begin{align*}
\left (-x^{2}+1\right )^{2} y^{\prime \prime }-2 x \left (-x^{2}+1\right ) y^{\prime }+\left (\nu \left (\nu +1\right ) \left (-x^{2}+1\right )-\mu ^{2}\right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
93.520 |
|
| 25732 |
\begin{align*}
y^{\prime \prime }&=\frac {2 y^{\prime }}{x \left (x -2\right )}-\frac {y}{x^{2} \left (x -2\right )} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
93.665 |
|
| 25733 |
\begin{align*}
y^{\prime \prime }&=a +4 b^{2} y+3 b y^{2}+3 y y^{\prime } \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
93.708 |
|
| 25734 |
\begin{align*}
y^{\prime }&=x^{2}+y^{2} \\
y \left (0\right ) &= 1 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
93.716 |
|
| 25735 |
\begin{align*}
\left (a \coth \left (\lambda x \right )+b \right ) y^{\prime }&=y^{2}+c \coth \left (\mu x \right ) y-d^{2}+c d \coth \left (\mu x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
93.759 |
|
| 25736 |
\begin{align*}
y^{\prime }&=x^{2}+y^{2} \\
y \left (0\right ) &= 1 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
93.786 |
|
| 25737 |
\begin{align*}
2 a \left (1+a \right ) y-\left (1+3 x \right ) y^{\prime }+2 \left (1-x \right ) x y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
93.892 |
|
| 25738 |
\begin{align*}
\left (-x^{2}+1\right ) z^{\prime \prime }+\left (1-3 x \right ) z^{\prime }+k z&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
93.900 |
|
| 25739 |
\begin{align*}
x^{\prime }&=\frac {9 x}{10}+\frac {21 y}{10}+\frac {16 z}{5} \\
y^{\prime }&=\frac {7 x}{10}+\frac {13 y}{2}+\frac {21 z}{5} \\
z^{\prime }&=\frac {11 x}{10}+\frac {17 y}{10}+\frac {17 z}{5} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
93.912 |
|
| 25740 |
\begin{align*}
\left (5-x +6 y\right ) y^{\prime }&=3-x +4 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
94.049 |
|
| 25741 |
\begin{align*}
x^{n} y^{\prime }+x^{2 n -2}+y^{2}+\left (1-n \right ) x^{n -1} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
94.647 |
|
| 25742 |
\begin{align*}
x^{2} \left (a^{2} x^{2 n}-1\right ) y^{\prime \prime }+x \left (a^{2} \left (n +1\right ) x^{2 n}+n -1\right ) y^{\prime }-\nu \left (\nu +1\right ) a^{2} n^{2} x^{2 n} y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
94.691 |
|
| 25743 |
\begin{align*}
y^{\prime } x&=x y^{2}-a^{2} x \ln \left (\beta x \right )^{2}+a \\
\end{align*} |
✓ |
✗ |
✗ |
✗ |
95.205 |
|
| 25744 |
\begin{align*}
\left (a \cosh \left (\lambda x \right )+b \right ) y^{\prime }&=y^{2}+c \cosh \left (\mu x \right ) y-d^{2}+c d \cosh \left (\mu x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
95.244 |
|
| 25745 |
\begin{align*}
2 {y^{\prime }}^{4}-y y^{\prime }-2&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
95.340 |
|
| 25746 |
\begin{align*}
x^{\prime }&=\frac {a x^{{5}/{6}}}{\left (-B t +b \right )^{{3}/{2}}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
95.754 |
|
| 25747 |
\begin{align*}
y y^{\prime } x&=a y^{2}+b y+c \,x^{n}+s \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
95.783 |
|
| 25748 |
\begin{align*}
x^{\prime \prime }-x+3 x^{2}&=0 \\
x \left (0\right ) &= {\frac {1}{4}} \\
x^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
95.916 |
|
| 25749 |
\begin{align*}
y^{\prime }&=\sqrt {\frac {5 x -6 y}{5 x +6 y}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
95.956 |
|
| 25750 |
\begin{align*}
x^{n} y^{\prime }&=x^{2 n -1}-y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
96.101 |
|
| 25751 |
\begin{align*}
y^{\prime }&=y^{2}+\lambda ^{2}+3 a \lambda +a \left (\lambda -a \right ) \cot \left (\lambda x \right )^{2} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
96.409 |
|
| 25752 |
\begin{align*}
y^{\prime }&=\sqrt {25-y^{2}} \\
y \left (3\right ) &= -6 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
96.506 |
|
| 25753 |
\begin{align*}
\left (-y+y^{\prime } x \right )^{2}&={y^{\prime }}^{2}-\frac {2 y y^{\prime }}{x}+1 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
97.241 |
|
| 25754 |
\begin{align*}
\left (x^{2}-1\right )^{2} y^{\prime \prime }+2 x \left (x^{2}-1\right ) y^{\prime }+\left (\left (x^{2}-1\right ) \left (a^{2} x^{2}-\lambda \right )-m^{2}\right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
97.529 |
|
| 25755 |
\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*} |
✓ |
✓ |
✓ |
✓ |
97.530 |
|
| 25756 |
\begin{align*}
8 y y^{\prime } x^{3}+3 x^{4}-6 y^{2} x^{2}-y^{4}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
97.667 |
|
| 25757 |
\begin{align*}
\left (y-3 x +3\right ) y^{\prime }&=2 y-x -4 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
97.718 |
|
| 25758 |
\begin{align*}
\left (-y+y^{\prime } x \right )^{2}&={y^{\prime }}^{2}-\frac {2 y y^{\prime }}{x}+1 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
98.914 |
|
| 25759 |
\begin{align*}
y^{\prime }&=\frac {3 y^{2}-t^{2}}{2 t y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
99.031 |
|
| 25760 |
\begin{align*}
2 \left (a \,x^{n}+x^{m} b +c \right ) y^{\prime \prime }+a n \,x^{n -1} b m \,x^{m -1} y^{\prime }+d y&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
99.291 |
|
| 25761 |
\begin{align*}
3 x^{2}+9 y x +5 y^{2}-\left (6 x^{2}+4 y x \right ) y^{\prime }&=0 \\
y \left (2\right ) &= -6 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
99.696 |
|
| 25762 |
\begin{align*}
y^{\prime }&={\mathrm e}^{2 x}+\left (2+\frac {5 \,{\mathrm e}^{x}}{2}\right ) y+y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
99.760 |
|
| 25763 |
\begin{align*}
b y+a x \left (-x^{2}+1\right ) y^{\prime }+\left (x^{2}+1\right )^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
99.941 |
|
| 25764 |
\begin{align*}
y^{\prime }&=\frac {y \left (-1-x^{3} x^{\frac {2}{1+\ln \left (x \right )}} {\mathrm e}^{\frac {2 \ln \left (x \right )^{2}}{1+\ln \left (x \right )}}-x^{3} x^{\frac {2}{1+\ln \left (x \right )}} {\mathrm e}^{\frac {2 \ln \left (x \right )^{2}}{1+\ln \left (x \right )}} \ln \left (x \right )+x^{3} x^{\frac {2}{1+\ln \left (x \right )}} {\mathrm e}^{\frac {2 \ln \left (x \right )^{2}}{1+\ln \left (x \right )}} y+2 x^{3} x^{\frac {2}{1+\ln \left (x \right )}} {\mathrm e}^{\frac {2 \ln \left (x \right )^{2}}{1+\ln \left (x \right )}} y \ln \left (x \right )+x^{3} x^{\frac {2}{1+\ln \left (x \right )}} {\mathrm e}^{\frac {2 \ln \left (x \right )^{2}}{1+\ln \left (x \right )}} y \ln \left (x \right )^{2}\right )}{\left (1+\ln \left (x \right )\right ) x} \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
100.014 |
|
| 25765 |
\begin{align*}
y^{\prime }&=f \left (x \right ) y^{2}-a \cot \left (\lambda x \right )^{2} \left (a f \left (x \right )-\lambda \right )+a \lambda \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
100.441 |
|
| 25766 |
\begin{align*}
n \left (n +1\right ) y-2 y^{\prime } x +\left (-x^{2}+1\right ) y^{\prime \prime }&=\frac {2 \left (-1-n \right ) x \operatorname {LegendreP}\left (n , x\right )+2 \left (n +1\right ) \operatorname {LegendreP}\left (n +1, x\right )}{x^{2}-1} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
100.523 |
|
| 25767 |
\begin{align*}
y y^{\prime }-\frac {a \left (x +4\right ) y}{5 x^{{8}/{5}}}&=\frac {a^{2} \left (x -1\right ) \left (3 x +7\right )}{5 x^{{3}/{5}}} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
100.614 |
|
| 25768 |
\begin{align*}
x^{2} y^{4}+x^{6}-x^{3} y^{3} y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
100.687 |
|
| 25769 |
\begin{align*}
\left (6 x -5 y+4\right ) y^{\prime }&=1+2 x -y \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
100.919 |
|
| 25770 |
\begin{align*}
y y^{\prime }-a \left (1+2 n +2 n \left (n +1\right ) x \right ) {\mathrm e}^{\left (n +1\right ) x} y&=-a^{2} n \left (n +1\right ) \left (x n +1\right ) x \,{\mathrm e}^{2 \left (n +1\right ) x} \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
100.979 |
|
| 25771 |
\begin{align*}
2 t^{2}-7 t y+5 y^{2}+t y y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
100.984 |
|
| 25772 |
\begin{align*}
y^{\prime }&=\frac {y \left (-1-x^{\frac {2}{1+\ln \left (x \right )}} {\mathrm e}^{\frac {2 \ln \left (x \right )^{2}}{1+\ln \left (x \right )}} x^{2}-x^{\frac {2}{1+\ln \left (x \right )}} {\mathrm e}^{\frac {2 \ln \left (x \right )^{2}}{1+\ln \left (x \right )}} x^{2} \ln \left (x \right )+x^{\frac {2}{1+\ln \left (x \right )}} {\mathrm e}^{\frac {2 \ln \left (x \right )^{2}}{1+\ln \left (x \right )}} x^{2} y+2 x^{\frac {2}{1+\ln \left (x \right )}} {\mathrm e}^{\frac {2 \ln \left (x \right )^{2}}{1+\ln \left (x \right )}} x^{2} y \ln \left (x \right )+x^{\frac {2}{1+\ln \left (x \right )}} {\mathrm e}^{\frac {2 \ln \left (x \right )^{2}}{1+\ln \left (x \right )}} x^{2} y \ln \left (x \right )^{2}\right )}{\left (1+\ln \left (x \right )\right ) x} \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
101.083 |
|
| 25773 |
\begin{align*}
\left (2 y x -x^{2}\right ) {y^{\prime }}^{2}+2 y y^{\prime } x +2 y x -y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
101.750 |
|
| 25774 |
\begin{align*}
{\mathrm e}^{y}&={\mathrm e}^{4 y} y^{\prime }+1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
101.966 |
|
| 25775 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime \prime }-2 y^{\prime } x +\nu \left (\nu +1\right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
102.308 |
|
| 25776 |
\begin{align*}
a x \sqrt {1+{y^{\prime }}^{2}}+y^{\prime } x -y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
102.336 |
|
| 25777 |
\begin{align*}
y^{\prime }&=\sqrt {y^{2}-9} \\
y \left (1\right ) &= 4 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
102.431 |
|
| 25778 |
\begin{align*}
\left (-y+y^{\prime } x \right ) \left (x -y y^{\prime }\right )&=2 y^{\prime } \\
\end{align*} |
✓ |
✗ |
✓ |
✗ |
102.626 |
|
| 25779 |
\begin{align*}
y y^{\prime }+\frac {a \left (7 x -12\right ) y}{10 x^{{7}/{5}}}&=-\frac {a^{2} \left (x -1\right ) \left (x -16\right )}{10 x^{{9}/{5}}} \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
103.098 |
|
| 25780 |
\begin{align*}
y+x \left (x +1\right ) y^{\prime }+x \left (x^{2}+1\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
103.122 |
|
| 25781 |
\begin{align*}
x \left (x^{2}+1\right ) y^{\prime \prime }+\left (2 x^{2}+1\right ) y^{\prime }-v \left (v +1\right ) x y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
103.791 |
|
| 25782 |
\begin{align*}
{y^{\prime }}^{3}-2 y^{\prime } x -y&=0 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
104.095 |
|
| 25783 |
\begin{align*}
y y^{\prime }+\frac {a \left (x -6\right ) y}{5 x^{{7}/{5}}}&=\frac {2 a^{2} \left (x -1\right ) \left (x +4\right )}{5 x^{{9}/{5}}} \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
104.141 |
|
| 25784 |
\begin{align*}
y^{\prime }&=\frac {2 x +y+1}{x +2 y+2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
104.165 |
|
| 25785 |
\begin{align*}
x {y^{\prime }}^{2}+y y^{\prime }-x^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
104.318 |
|
| 25786 |
\begin{align*}
y y^{\prime }+\frac {a \left (13 x -18\right ) y}{15 x^{{7}/{5}}}&=-\frac {4 a^{2} \left (x -1\right ) \left (x -6\right )}{15 x^{{9}/{5}}} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
104.345 |
|
| 25787 |
\begin{align*}
\left (x^{2}-2 x \right ) y^{\prime \prime }+\left (-x^{2}+2\right ) y^{\prime }-2 \left (1-x \right ) y&=2 x -2 \\
y \left (\infty \right ) &= 1 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
104.433 |
|
| 25788 |
\begin{align*}
\left (a_{2} +b_{2} x +c_{2} y\right ) y^{\prime }&=a_{1} +b_{1} x +c_{1} y \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
104.655 |
|
| 25789 |
\begin{align*}
y^{\prime }&=\frac {y}{\sqrt {t^{3}-3}}+t \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
104.936 |
|
| 25790 |
\begin{align*}
y^{\prime }&=y^{2}+3 a \lambda -\lambda ^{2}-a \left (a +\lambda \right ) \tanh \left (\lambda x \right )^{2} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
104.952 |
|
| 25791 |
\begin{align*}
y^{\prime \prime }&=-\frac {2 x y^{\prime }}{x^{2}+1}-\frac {\left (a^{2} \left (x^{2}+1\right )^{2}-n \left (n +1\right ) \left (x^{2}+1\right )+m^{2}\right ) y}{\left (x^{2}+1\right )^{2}} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
105.165 |
|
| 25792 |
\begin{align*}
\left (x^{2}-1\right ) y^{\prime \prime }+\left (a x +b \right ) y^{\prime }+c y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
105.208 |
|
| 25793 |
\begin{align*}
x^{2} y^{\prime }&=a +b \,x^{n}+c \,x^{2} y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
105.223 |
|
| 25794 |
\begin{align*}
\left (1+{y^{\prime }}^{2}\right ) \left (x -y\right )^{2}&=\left (x +y y^{\prime }\right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
105.704 |
|
| 25795 |
\begin{align*}
\left (2 x y^{3}-x^{4}\right ) y^{\prime }+2 x^{3} y-y^{4}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
105.816 |
|
| 25796 |
\begin{align*}
2 a^{2} y+a y^{2}+\left (3 a +y\right ) y^{\prime }+y^{\prime \prime }&=y^{3} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
105.847 |
|
| 25797 |
\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*} |
✓ |
✗ |
✓ |
✗ |
105.975 |
|
| 25798 |
\begin{align*}
y^{\prime \prime }-7 y^{\prime }-y^{{3}/{2}}+12 y&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
106.090 |
|
| 25799 |
\begin{align*}
y^{\prime \prime }&=-\frac {b x y^{\prime }}{\left (x^{2}-1\right ) a}-\frac {\left (c \,x^{2}+d x +e \right ) y}{a \left (x^{2}-1\right )^{2}} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
106.168 |
|
| 25800 |
\begin{align*}
\frac {x +y y^{\prime }}{\sqrt {x^{2}+y^{2}}}&=m \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
106.227 |
|