| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 25801 |
\begin{align*}
2 x^{2} y^{\prime }&=2 y x +\left (-x \cot \left (x \right )+1\right ) \left (x^{2}-y^{2}\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
106.240 |
|
| 25802 |
\begin{align*}
y^{\prime }&=\frac {y x +3}{5 x -y} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
106.313 |
|
| 25803 |
\begin{align*}
\left (4 x -y\right ) y^{\prime }+2 x -5 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
106.453 |
|
| 25804 |
\begin{align*}
\sin \left (y\right )^{3} y^{\prime \prime }&=\cos \left (y\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
106.808 |
|
| 25805 |
\begin{align*}
y^{\prime }&=\frac {y}{x -k \sqrt {x^{2}+y^{2}}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
106.919 |
|
| 25806 |
\begin{align*}
x^{\prime }&=4 A k \left (\frac {x}{A}\right )^{{3}/{4}}-3 k x \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
106.986 |
|
| 25807 |
\begin{align*}
x^{\prime }&=3 x-4 y+z+t \\
y^{\prime }&=x-3 z+t^{2} \\
z^{\prime }&=6 y-7 z+t^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
107.488 |
|
| 25808 |
\begin{align*}
\left (-y+y^{\prime } x \right ) \left (x +y y^{\prime }\right )&=h^{2} y^{\prime } \\
\end{align*} |
✓ |
✗ |
✓ |
✗ |
107.954 |
|
| 25809 |
\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*} |
✗ |
✓ |
✓ |
✗ |
108.076 |
|
| 25810 |
\begin{align*}
c y+\left (b x +a \right ) y^{\prime }+x \left (x +1\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
108.114 |
|
| 25811 |
\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 )+n^{2}\right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
108.167 |
|
| 25812 |
\begin{align*}
3 y-7 x +7+\left (7 y-3 x +3\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
108.256 |
|
| 25813 |
\begin{align*}
2 x +y+\left (4 x -2 y+1\right ) y^{\prime }&=0 \\
y \left (\frac {1}{2}\right ) &= 0 \\
\end{align*} |
✓ |
✗ |
✓ |
✗ |
108.460 |
|
| 25814 |
\begin{align*}
-y+y^{\prime } x&=\sqrt {x^{2}-y^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
108.524 |
|
| 25815 |
\begin{align*}
\left (b x +a \right ) y+2 \left (1-3 x \right ) \left (1-x \right ) y^{\prime }+4 \left (1-x \right ) x y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
108.589 |
|
| 25816 |
\begin{align*}
y y^{\prime }+\frac {a \left (33 x +2\right ) y}{30 x^{{6}/{5}}}&=-\frac {a^{2} \left (x -1\right ) \left (9 x -4\right )}{30 x^{{7}/{5}}} \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
108.883 |
|
| 25817 |
\begin{align*}
\left (x^{2}+y^{2}\right ) \left (1+y^{\prime }\right )^{2}-2 \left (x +y\right ) \left (1+y^{\prime }\right ) \left (x +y y^{\prime }\right )+\left (x +y y^{\prime }\right )^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
109.024 |
|
| 25818 |
\begin{align*}
3 y^{\prime }&=x -\sqrt {x^{2}-3 y} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
109.112 |
|
| 25819 |
\begin{align*}
x y^{3} y^{\prime }&=y^{4}+x^{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
109.165 |
|
| 25820 |
\begin{align*}
y \left (y^{2} x^{2}-1\right )+x \left (x^{2} y+2 x +y\right ) y^{\prime }&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
109.472 |
|
| 25821 |
\begin{align*}
y^{\prime }&=\frac {2 y^{4}+x^{4}}{x y^{3}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
109.721 |
|
| 25822 |
\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^{{11}/{5}}} \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
109.728 |
|
| 25823 |
\begin{align*}
y {y^{\prime \prime }}^{4}+{y^{\prime }}^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
109.769 |
|
| 25824 |
\begin{align*}
y^{\prime }&=\frac {3 x^{3}+\sqrt {-9 x^{4}+4 y^{3}}+x^{2} \sqrt {-9 x^{4}+4 y^{3}}+x^{3} \sqrt {-9 x^{4}+4 y^{3}}}{y^{2}} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
110.018 |
|
| 25825 |
\begin{align*}
3 y^{2}-2 x^{2}&=2 y y^{\prime } x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
110.168 |
|
| 25826 |
\begin{align*}
y^{\prime }&=a \sin \left (\lambda x +\mu \right )^{k} \left (y-b \,x^{n}-c \right )^{2}+b n \,x^{n -1} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
110.293 |
|
| 25827 |
\begin{align*}
3 y-7 x +7+\left (7 y-3 x +3\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
110.374 |
|
| 25828 |
\begin{align*}
\left (a -3 x^{2}-y^{2}\right ) y y^{\prime }+x \left (a -x^{2}+y^{2}\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
110.432 |
|
| 25829 |
\begin{align*}
{y^{\prime }}^{3}-y {y^{\prime }}^{2}+y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
110.450 |
|
| 25830 |
\begin{align*}
\left (2 y x -x^{2}\right ) {y^{\prime }}^{2}-6 y y^{\prime } x -y^{2}+2 y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
110.491 |
|
| 25831 |
\begin{align*}
c y+\left (b x +a \right ) y^{\prime }+\left (1-x \right ) x y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
110.605 |
|
| 25832 |
\begin{align*}
x {y^{\prime }}^{2}+2 y y^{\prime }-x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
110.951 |
|
| 25833 |
\begin{align*}
x^{2} \left (x -2 y\right ) y^{\prime }&=2 x^{3}-4 x y^{2}+y^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
111.226 |
|
| 25834 |
\begin{align*}
\left (k^{2} x +b \right ) y+2 \left (a x +1\right ) y^{\prime }+4 \left (1-x \right ) x y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
111.316 |
|
| 25835 |
\begin{align*}
y y^{\prime }+\frac {3 a \left (13 x -8\right ) y}{20 x^{{7}/{5}}}&=-\frac {a^{2} \left (x -1\right ) \left (27 x -32\right )}{20 x^{{9}/{5}}} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
111.345 |
|
| 25836 |
\begin{align*}
x^{2} \left (a^{2} x^{2 n}-1\right ) y^{\prime \prime }+x \left (a p \,x^{n}+q \right ) y^{\prime }+\left (a r \,x^{n}+s \right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
111.360 |
|
| 25837 |
\begin{align*}
{y^{\prime }}^{2}-3 x y^{{2}/{3}} y^{\prime }+9 y^{{5}/{3}}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
111.493 |
|
| 25838 |
\begin{align*}
{y^{\prime }}^{3}+y^{2}&=y y^{\prime } x \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
111.643 |
|
| 25839 |
\begin{align*}
\left (A x y+B \,x^{2}+k x \right ) y^{\prime }&=A y^{2}+c x y+d \,x^{2}+\left (-A \beta +k \right ) y-c \beta x -k \beta \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
111.944 |
|
| 25840 |
\begin{align*}
y x +1+y^{2} y^{\prime }&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
111.970 |
|
| 25841 |
\begin{align*}
3 x -y-5+\left (x -y+1\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
112.088 |
|
| 25842 |
\begin{align*}
a \left (1+a \right ) y-2 x^{3} y^{\prime }+x^{2} \left (-x^{2}+1\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
112.111 |
|
| 25843 |
\begin{align*}
\left (\operatorname {c2} \,x^{2}+\operatorname {b2} x +\operatorname {a2} \right ) y+\operatorname {a1} x \left (-x^{2}+1\right ) y^{\prime }+\left (-x^{2}+1\right )^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
112.284 |
|
| 25844 |
\begin{align*}
y^{\prime }&=\frac {x^{4}+3 y^{2} x^{2}+y^{4}}{x^{3} y} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
112.462 |
|
| 25845 |
\begin{align*}
x \left (x^{2}-1\right ) y^{\prime \prime }+\left (a \,x^{2}+b \right ) y^{\prime }+c x y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
112.510 |
|
| 25846 |
\begin{align*}
y y^{\prime }-\frac {2 a \left (3 x +2\right ) y}{5 x^{{8}/{5}}}&=\frac {a^{2} \left (x -1\right ) \left (8 x +1\right )}{5 x^{{11}/{5}}} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
112.799 |
|
| 25847 |
\begin{align*}
\left (2 x y^{3}-x^{4}\right ) y^{\prime }+2 x^{3} y-y^{4}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
112.868 |
|
| 25848 |
\begin{align*}
x^{\prime }&=\frac {x^{2}+t \sqrt {t^{2}+x^{2}}}{t x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
112.909 |
|
| 25849 |
\begin{align*}
2 x^{2} y+y^{3}-x^{3} y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
112.917 |
|
| 25850 |
\begin{align*}
2 t +\left (y-3 t \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
112.920 |
|
| 25851 |
\begin{align*}
y y^{\prime }+a y+\frac {\left (a^{2}-1\right ) x}{4}+b \,x^{n}&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
112.961 |
|
| 25852 |
\begin{align*}
\left (5 x -7 y+1\right ) y^{\prime }+x +y-1&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
113.291 |
|
| 25853 |
\begin{align*}
\left (x^{2}+y^{2}\right ) \left (1+y^{\prime }\right )^{2}-2 \left (x +y\right ) \left (1+y^{\prime }\right ) \left (x +y y^{\prime }\right )+\left (x +y y^{\prime }\right )^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
113.313 |
|
| 25854 |
\begin{align*}
\left (2 A x y+B \,x^{2}+b \right ) y^{\prime }&=A y^{2}+k \left (A k +B \right ) x^{2}+c \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
113.432 |
|
| 25855 |
\begin{align*}
y y^{\prime }-\frac {3 a y}{x^{{7}/{4}}}&=\frac {a^{2} \left (x -1\right ) \left (x -9\right )}{4 x^{{5}/{2}}} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
113.692 |
|
| 25856 |
\begin{align*}
y^{\prime }&=\frac {2 y^{4}+x^{4}}{x y^{3}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
113.827 |
|
| 25857 |
\begin{align*}
y^{\prime }&=\frac {2 y^{4}+x^{4}}{x y^{3}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
113.851 |
|
| 25858 |
\begin{align*}
x^{\prime \prime }&=x^{2}-4 x+\lambda \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
113.887 |
|
| 25859 |
\begin{align*}
n \left (n +1\right ) y-2 y^{\prime } x +\left (-x^{2}+1\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
113.899 |
|
| 25860 |
\begin{align*}
x^{4}+y^{4}-x y^{3} y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
114.076 |
|
| 25861 |
\begin{align*}
3 y-7 x +7-\left (3 x -7 y-3\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
114.188 |
|
| 25862 |
\begin{align*}
c y+b y^{\prime }+a {y^{\prime }}^{2}+y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
114.581 |
|
| 25863 |
\begin{align*}
y^{\prime }&=\lambda \operatorname {arccot}\left (x \right )^{n} \left (y-a \,x^{m}-b \right )^{2}+a m \,x^{m -1} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
114.627 |
|
| 25864 |
\begin{align*}
\frac {1}{{y^{\prime }}^{2}}+y^{\prime } x&=2 y \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
114.708 |
|
| 25865 |
\begin{align*}
y^{\prime \prime }&=-\frac {\left (a \,x^{2}+a -1\right ) y^{\prime }}{x \left (x^{2}+1\right )}-\frac {\left (b \,x^{2}+c \right ) y}{x^{2} \left (x^{2}+1\right )} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
114.830 |
|
| 25866 |
\begin{align*}
\left (a \left (x^{2}+y^{2}\right )^{{3}/{2}}-x^{2}\right ) {y^{\prime }}^{2}+2 y y^{\prime } x +a \left (x^{2}+y^{2}\right )^{{3}/{2}}-y^{2}&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
114.850 |
|
| 25867 |
\begin{align*}
\left (y+a x +b \right ) y^{\prime }&=\alpha y+\beta x +\gamma \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
115.004 |
|
| 25868 |
\begin{align*}
a x y {y^{\prime }}^{2}+\left (x^{2}-a y^{2}-b \right ) y^{\prime }-y x&=0 \\
\end{align*} |
✓ |
✗ |
✓ |
✗ |
115.025 |
|
| 25869 |
\begin{align*}
\left (a_{2} +b x +c_{2} y\right ) y^{\prime }+a_{1} +b_{1} x +b y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
115.208 |
|
| 25870 |
\begin{align*}
x {y^{\prime }}^{3}&=y y^{\prime }+1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
115.332 |
|
| 25871 |
\begin{align*}
n \left (n +1\right ) y-2 y^{\prime } x +\left (-x^{2}+1\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
115.567 |
|
| 25872 |
\begin{align*}
y^{\prime }&=y^{2} \left (1+y\right ) \left (y-4\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
115.766 |
|
| 25873 |
\begin{align*}
x \left (x +\sqrt {x^{2}+y^{2}}\right ) y^{\prime }+y \sqrt {x^{2}+y^{2}}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
115.845 |
|
| 25874 |
\begin{align*}
\left (y^{2}+2 x^{2} y^{\prime }\right ) y^{\prime \prime }+2 \left (x +y\right ) {y^{\prime }}^{2}+y^{\prime } x +y&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
116.104 |
|
| 25875 |
\begin{align*}
{y^{\prime }}^{2}+a x y^{\prime }+b \,x^{2}+c y&=0 \\
\end{align*} |
✓ |
✗ |
✓ |
✗ |
116.119 |
|
| 25876 |
\begin{align*}
x^{3} y^{\prime \prime }+\left (a \,x^{n}+b \right ) y^{\prime } x -\left (a \,x^{n}-a b \,x^{n -1}+b \right ) y&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
116.247 |
|
| 25877 |
\begin{align*}
y^{\prime }&=-\frac {\cos \left (y\right ) \left (x -\cos \left (y\right )+1\right )}{\left (x \sin \left (y\right )-1\right ) \left (x +1\right )} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
116.404 |
|
| 25878 |
\begin{align*}
y&=x {y^{\prime }}^{2}-\frac {1}{y^{\prime }} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
116.778 |
|
| 25879 |
\begin{align*}
{y^{\prime }}^{3}+y^{\prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
116.792 |
|
| 25880 |
\begin{align*}
y^{\prime }&=y^{2}+\lambda ^{2}+3 a \lambda +a \left (\lambda -a \right ) \tan \left (\lambda x \right )^{2} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
116.805 |
|
| 25881 |
\begin{align*}
y^{\prime }&=\frac {2 x +y-4}{x -y+1} \\
y \left (2\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
116.858 |
|
| 25882 |
\begin{align*}
2 x -y+1+\left (x -2 y-1\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
116.898 |
|
| 25883 |
\begin{align*}
a \,x^{2}+2 b x y+c y^{2}+\left (b \,x^{2}+2 c x y+y^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
116.906 |
|
| 25884 |
\begin{align*}
{\mathrm e}^{3 x} \left (y^{\prime }-1\right )+{\mathrm e}^{2 y} {y^{\prime }}^{3}&=0 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
116.973 |
|
| 25885 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime \prime }-2 y^{\prime } x +\alpha \left (\alpha +1\right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
117.312 |
|
| 25886 |
\begin{align*}
2 x^{3} y+\left (2 y^{2} x^{2}+2 y^{4}+\ln \left (y\right )\right ) y^{\prime }&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
117.408 |
|
| 25887 |
\begin{align*}
y y^{\prime }&=-n y^{2}+a \left (2 n +1\right ) {\mathrm e}^{x} y+b y-a^{2} n \,{\mathrm e}^{2 x}-a b \,{\mathrm e}^{x}+c \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
117.459 |
|
| 25888 |
\begin{align*}
x \left (x +y\right ) y^{\prime }+y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
117.463 |
|
| 25889 |
\begin{align*}
2 y^{3}+\left (4 x^{3} y^{3}-3 x y^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
117.573 |
|
| 25890 |
\begin{align*}
y^{2} y^{\prime }+\tan \left (x \right ) y&=\sin \left (x \right )^{3} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
117.594 |
|
| 25891 |
\begin{align*}
y&={y^{\prime }}^{4}-{y^{\prime }}^{3}-2 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
117.747 |
|
| 25892 |
\begin{align*}
2 \operatorname {a2} y+\left (\operatorname {b1} x +\operatorname {a1} \right ) y^{\prime }+\left (\operatorname {c0} \,x^{2}+\operatorname {b0} x +\operatorname {a0} \right ) y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
117.792 |
|
| 25893 |
\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*} |
✓ |
✓ |
✓ |
✓ |
118.760 |
|
| 25894 |
\begin{align*}
{y^{\prime }}^{3}-2 y^{\prime } x -y&=0 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
118.776 |
|
| 25895 |
\begin{align*}
y^{\prime \prime }&=-\frac {\left (\left (a +b +1\right ) x +\alpha +\beta -1\right ) y^{\prime }}{x \left (x -1\right )}-\frac {\left (a b x -\alpha \beta \right ) y}{x^{2} \left (x -1\right )} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
118.779 |
|
| 25896 |
\begin{align*}
x \left (a +x \right ) y^{\prime \prime }+\left (b x +c \right ) y^{\prime }+d y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
118.862 |
|
| 25897 |
\begin{align*}
x^{2} y^{\prime \prime }-3 y^{\prime } x +3 y&=\ln \left (x \right ) \\
y \left (1\right ) &= A \\
y \left (2\right ) &= B \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
118.994 |
|
| 25898 |
\begin{align*}
y y^{\prime \prime }-{y^{\prime }}^{2}+\left (a y-1\right ) y^{\prime }-y \left (1+y\right ) \left (b^{2} y^{2}-a^{2}\right )&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
119.023 |
|
| 25899 |
\begin{align*}
n \left (n +1\right ) y-2 y^{\prime } x +\left (-x^{2}+1\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
119.397 |
|
| 25900 |
\begin{align*}
y^{\prime \prime }&=-\frac {\left (a \,x^{2}+a -2\right ) y^{\prime }}{x \left (x^{2}-1\right )}-\frac {b y}{x^{2}} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
119.489 |
|