| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 25901 |
\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*} |
✗ |
✓ |
✓ |
✗ |
119.592 |
|
| 25902 |
\begin{align*}
n \left (n +1\right ) y-2 y^{\prime } x +\left (-x^{2}+1\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
119.593 |
|
| 25903 |
\begin{align*}
\left (4 x -y\right ) y^{\prime }+2 x -5 y&=0 \\
y \left (1\right ) &= 4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
119.766 |
|
| 25904 |
\begin{align*}
\left (A y+B x +a \right ) y^{\prime }+B y+k x +b&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
119.967 |
|
| 25905 |
\begin{align*}
\left (2 x^{2}+1\right ) {y^{\prime }}^{2}+\left (y^{2}+2 y x +x^{2}+2\right ) y^{\prime }+2 y^{2}+1&=0 \\
\end{align*} |
✗ |
✗ |
✓ |
✗ |
120.121 |
|
| 25906 |
\begin{align*}
b y+a x y^{\prime }+\left (-x^{2}+1\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
120.460 |
|
| 25907 |
\begin{align*}
y y^{\prime }-\frac {6 a \left (4 x +1\right ) y}{5 x^{{7}/{5}}}&=\frac {a^{2} \left (x -1\right ) \left (27 x +8\right )}{5 x^{{9}/{5}}} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
120.541 |
|
| 25908 |
\begin{align*}
-2 y x +\left (3 x^{2}-2 y^{2}\right ) y^{\prime }&=0 \\
y \left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
120.724 |
|
| 25909 |
\begin{align*}
y^{\prime }&=f \left (x \right ) y^{2}-a \,{\mathrm e}^{\lambda x} g \left (x \right ) y+a \lambda \,{\mathrm e}^{\lambda x}+a^{2} {\mathrm e}^{2 \lambda x} \left (g \left (x \right )-f \left (x \right )\right ) \\
\end{align*} |
✓ |
✗ |
✗ |
✗ |
120.985 |
|
| 25910 |
\begin{align*}
y^{\prime }&=\frac {x -y}{x +y} \\
y \left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
121.122 |
|
| 25911 |
\begin{align*}
y+2 x^{3}+\left (2 x -\frac {x^{4}}{y}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
121.124 |
|
| 25912 |
\begin{align*}
a_{1} x +b_{1} y+c_{1} +\left (b_{1} x +b_{2} y+c_{2} \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
121.316 |
|
| 25913 |
\begin{align*}
x {y^{\prime }}^{2}+y y^{\prime }+x^{3}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
121.380 |
|
| 25914 |
\begin{align*}
3 x +2 y+3-\left (x +2 y-1\right ) y^{\prime }&=0 \\
y \left (-2\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
121.618 |
|
| 25915 |
\begin{align*}
x \left (x^{3}-2 y^{3}\right ) y^{\prime }&=\left (2 x^{3}-y^{3}\right ) y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
121.657 |
|
| 25916 |
\begin{align*}
y y^{\prime }-y&=-\frac {3 x}{16}+\frac {A}{x^{{5}/{3}}} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
121.730 |
|
| 25917 |
\begin{align*}
\left (x^{2}+y x +a y^{2}\right ) y^{\prime }&=a \,x^{2}+y x +y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
122.341 |
|
| 25918 |
\begin{align*}
y^{\prime }&=y^{{1}/{3}} \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
122.451 |
|
| 25919 |
\begin{align*}
y^{\prime }&=\frac {2 x +7 y}{2 x -2 y} \\
y \left (1\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
122.968 |
|
| 25920 |
\begin{align*}
y^{\prime }&=\frac {\sqrt {2}\, \sqrt {\frac {x +y}{x}}}{2} \\
y \left (1\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
123.014 |
|
| 25921 |
\begin{align*}
x^{2} y^{\prime } \cos \left (y\right )+1&=0 \\
y \left (\infty \right ) &= \frac {16 \pi }{3} \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
123.111 |
|
| 25922 |
\begin{align*}
x \left (x^{2}+1\right ) y^{\prime \prime }+\left (2 \left (n +1\right ) x^{2}+2 n +1\right ) y^{\prime }-\left (v -n \right ) \left (v +n +1\right ) x y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
123.387 |
|
| 25923 |
\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*} |
✗ |
✗ |
✗ |
✗ |
123.480 |
|
| 25924 |
\begin{align*}
x^{\prime \prime }-x^{\prime }+x-x^{2}&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
123.835 |
|
| 25925 |
\begin{align*}
y y^{\prime }-y&=-\frac {2 x}{9}+\frac {A}{\sqrt {x}} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
124.021 |
|
| 25926 |
\begin{align*}
{y^{\prime }}^{4}+4 y {y^{\prime }}^{3}+6 y^{2} {y^{\prime }}^{2}-\left (1-4 y^{3}\right ) y^{\prime }-\left (3-y^{3}\right ) y&=0 \\
\end{align*} |
✓ |
✗ |
✓ |
✓ |
124.345 |
|
| 25927 |
\begin{align*}
y^{\prime }&=\frac {y+\sqrt {x^{2}-y^{2}}}{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
124.363 |
|
| 25928 |
\begin{align*}
x \left (2+x \right ) y^{\prime \prime }+2 \left (n +1+\left (n +1-2 l \right ) x -l \,x^{2}\right ) y^{\prime }+\left (2 l \left (p -n -1\right ) x +2 p l +m \right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
124.468 |
|
| 25929 |
\begin{align*}
y^{\prime \prime }&=-\frac {\left (5 x^{2}+27\right ) y}{36 \left (x^{2}-1\right )^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
124.729 |
|
| 25930 |
\begin{align*}
\left (x^{2}-1\right ) y^{\prime \prime }+\left (2 a +1\right ) y^{\prime }-b \left (2 a +b \right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
125.034 |
|
| 25931 |
\begin{align*}
y \left (2 y x +1\right )+x \left (-y x +1\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
125.049 |
|
| 25932 |
\begin{align*}
{y^{\prime }}^{4}&=4 y \left (y^{\prime } x -2 y\right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
125.638 |
|
| 25933 |
\begin{align*}
y y^{\prime }-\frac {a \left (4 x +3\right ) y}{14 x^{{8}/{7}}}&=-\frac {a^{2} \left (x -1\right ) \left (16 x +5\right )}{14 x^{{9}/{7}}} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
125.790 |
|
| 25934 |
\begin{align*}
y y^{\prime }+\frac {a \left (39 x -4\right ) y}{42 x^{{9}/{7}}}&=-\frac {a^{2} \left (x -1\right ) \left (9 x -1\right )}{42 x^{{11}/{7}}} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
125.867 |
|
| 25935 |
\begin{align*}
y+\left (3 x -2 y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
126.048 |
|
| 25936 |
\begin{align*}
x \left (x^{2}+1\right ) y^{\prime \prime }-\left (2 \left (n -1\right ) x^{2}+2 n -1\right ) y^{\prime }+\left (v +n \right ) \left (-v +n -1\right ) x y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
126.481 |
|
| 25937 |
\begin{align*}
y y^{\prime }-y&=\frac {63 x}{4}+\frac {A}{x^{{5}/{3}}} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
126.725 |
|
| 25938 |
\begin{align*}
x +y+\left (x -y\right ) y^{\prime }&=0 \\
y \left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
126.908 |
|
| 25939 |
\begin{align*}
\left (-k +p \right ) \left (1+k +p \right ) y+\left (1+k \right ) \left (1-2 x \right ) y^{\prime }+\left (1-x \right ) x y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
127.283 |
|
| 25940 |
\begin{align*}
\left (a \cot \left (\lambda x \right )+b \right ) y^{\prime }&=y^{2}+c \cot \left (\mu x \right ) y-d^{2}+c d \cot \left (\mu x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
127.286 |
|
| 25941 |
\begin{align*}
x^{3} y^{\prime \prime }+\left (a \,x^{3}+a b x -x^{2}+b \right ) y^{\prime }+a^{2} b x y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
127.324 |
|
| 25942 |
\begin{align*}
x^{\prime \prime }+{\mathrm e}^{-x^{\prime }}-x&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
127.523 |
|
| 25943 |
\begin{align*}
{r^{\prime \prime }}^{2}+r^{\prime \prime }+y r^{\prime }&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
127.533 |
|
| 25944 |
\begin{align*}
c x y+\left (b \,x^{2}+a \right ) y^{\prime }+x \left (-x^{2}+1\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
127.708 |
|
| 25945 |
\begin{align*}
y y^{\prime }+y^{\prime \prime }&=2 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
127.709 |
|
| 25946 |
\begin{align*}
x {y^{\prime }}^{2}+2 y y^{\prime }-x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
127.869 |
|
| 25947 |
\begin{align*}
y^{\prime \prime }&=-\frac {\left (3 x^{2}-1\right ) y^{\prime }}{\left (x^{2}-1\right ) x}-\frac {\left (x^{2}-1-\left (2 v +1\right )^{2}\right ) y}{\left (x^{2}-1\right )^{2}} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
127.919 |
|
| 25948 |
\begin{align*}
\csc \left (x \right )^{2} \left (2+\sin \left (x \right )^{2}\right ) y-\csc \left (2 x \right ) y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
128.109 |
|
| 25949 |
\begin{align*}
\frac {2 y}{x}+\left (4 x^{2} y-3\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
128.162 |
|
| 25950 |
\begin{align*}
x \left (x -2 y\right ) {y^{\prime }}^{2}-2 y y^{\prime } x -2 y x +y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
128.163 |
|
| 25951 |
\begin{align*}
\left (A x y+A k y+B \,x^{2}+B k x \right ) y^{\prime }&=c y^{2}+d x y+k \left (d -B \right ) y \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
128.268 |
|
| 25952 |
\begin{align*}
{y^{\prime }}^{4}&=4 y \left (y^{\prime } x -2 y\right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
128.281 |
|
| 25953 |
\begin{align*}
3 x -y-6+\left (x +y+2\right ) y^{\prime }&=0 \\
y \left (2\right ) &= -2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
128.539 |
|
| 25954 |
\begin{align*}
4 x y^{2}+6 y+\left (5 x^{2} y+8 x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
129.274 |
|
| 25955 |
\begin{align*}
\frac {\left (2 s-1\right ) s^{\prime }}{t}+\frac {s-s^{2}}{t^{2}}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
129.276 |
|
| 25956 |
\begin{align*}
y y^{\prime }&=\left (\left (3-m \right ) x -1\right ) y-\left (m -1\right ) a x \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
129.808 |
|
| 25957 |
\begin{align*}
y y^{\prime }-y&=-\frac {9 x}{100}+\frac {A}{x^{{5}/{3}}} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
129.970 |
|
| 25958 |
\begin{align*}
\left (a \,x^{2}+b x +c \right ) y^{\prime \prime }+\left (d x +f \right ) y^{\prime }+g y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
130.063 |
|
| 25959 |
\begin{align*}
y+x y^{2}+\left (x -x^{2} y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
130.097 |
|
| 25960 |
\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*} |
✓ |
✓ |
✓ |
✗ |
130.281 |
|
| 25961 |
\begin{align*}
y^{\prime }&=-\frac {2+x}{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*} |
✓ |
✓ |
✓ |
✓ |
131.070 |
|
| 25962 |
\begin{align*}
\frac {x +y y^{\prime }}{-y+y^{\prime } x}&=\sqrt {\frac {a^{2}-x^{2}-y^{2}}{x^{2}+y^{2}}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
131.527 |
|
| 25963 |
\begin{align*}
y^{\prime \prime }&=\frac {2 x \left (2 a -1\right ) y^{\prime }}{x^{2}-1}-\frac {\left (x^{2} \left (2 a \left (2 a -1\right )-v \left (v +1\right )\right )+2 a +v \left (v +1\right )\right ) y}{\left (x^{2}-1\right )^{2}} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
131.747 |
|
| 25964 |
\begin{align*}
\left (\operatorname {a4} \,x^{4}+\operatorname {a2} \,x^{2}+\operatorname {a0} \right ) y-2 x \left (a^{2}-x^{2}\right ) y^{\prime }+\left (a^{2}-x^{2}\right )^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
132.211 |
|
| 25965 |
\begin{align*}
x^{2}+y \left (x -y\right )^{2} \tan \left (\frac {y}{x}\right )-\left (x^{2}+x \left (x -y\right )^{2} \tan \left (\frac {y}{x}\right )\right ) y^{\prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
132.289 |
|
| 25966 |
\begin{align*}
\left (r^{2}+r \right ) R^{\prime \prime }+r R^{\prime }-n \left (n +1\right ) R&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
132.403 |
|
| 25967 |
\begin{align*}
-\left (\operatorname {a4} \,x^{4}+\operatorname {a2} \,x^{2}+\operatorname {a0} \right ) y+2 x \left (a^{2}+2 x^{2}\right ) y^{\prime }+\left (a^{2}+x^{2}\right )^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
132.448 |
|
| 25968 |
\begin{align*}
3 y-7 x +7+\left (7 y-3 x +3\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
132.666 |
|
| 25969 |
\begin{align*}
2 y y^{\prime \prime }&=8 y^{3}+{y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
132.700 |
|
| 25970 |
\begin{align*}
x y {y^{\prime }}^{2}-\left (x^{2}+y^{2}-1\right ) y^{\prime }+y x&=0 \\
\end{align*} |
✓ |
✗ |
✓ |
✗ |
133.249 |
|
| 25971 |
\begin{align*}
y^{\prime \prime }-y y^{\prime }&=2 x \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
133.504 |
|
| 25972 |
\begin{align*}
x y {y^{\prime }}^{2}+\left (x^{2}+y^{2}-h^{2}\right ) y^{\prime }-y x&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
133.563 |
|
| 25973 |
\begin{align*}
2 x y^{2}+\left (1-x^{2} y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
133.829 |
|
| 25974 |
\begin{align*}
y y^{\prime }-y&=20 x +\frac {A}{\sqrt {x}} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
133.845 |
|
| 25975 |
\begin{align*}
2 \left (1-b \right ) x y+\left (b \,x^{2}+a \right ) y^{\prime }+x \left (-x^{2}+1\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
134.286 |
|
| 25976 |
\begin{align*}
y^{\prime \prime }&=-\frac {\left (2 a x +b \right ) y^{\prime }}{x \left (a x +b \right )}-\frac {\left (a v x -b \right ) y}{\left (a x +b \right ) x^{2}}+A x \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
134.572 |
|
| 25977 |
\begin{align*}
x \left (x -2 y\right ) {y^{\prime }}^{2}+6 y y^{\prime } x -2 y x +y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
134.625 |
|
| 25978 |
\begin{align*}
2 x^{3} y-y^{2}-\left (2 x^{4}+y x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
134.877 |
|
| 25979 |
\begin{align*}
y^{2}-x^{2}+2 m x y+\left (m y^{2}-m \,x^{2}-2 y x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
136.406 |
|
| 25980 |
\begin{align*}
\left (a y^{2}+2 b x y+c \,x^{2}\right ) y^{\prime }+b y^{2}+2 c x y+d \,x^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
136.679 |
|
| 25981 |
\begin{align*}
2 y y^{\prime \prime }-{y^{\prime }}^{2}-8 y^{3}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
137.177 |
|
| 25982 |
\begin{align*}
{y^{\prime }}^{2}-\left (y^{4}+x y^{2}+x^{2}\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*} |
✗ |
✗ |
✗ |
✗ |
137.434 |
|
| 25983 |
\begin{align*}
y^{\prime }&=1+x +x^{2} \cos \left (x \right )-\left (1+4 \cos \left (x \right ) x \right ) y+2 y^{2} \cos \left (x \right ) \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
137.664 |
|
| 25984 |
\begin{align*}
y y^{\prime }-\left (\left (2 n -1\right ) x -a n \right ) x^{-1-n} y&=n \left (x -a \right ) x^{-2 n} \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
138.395 |
|
| 25985 |
\begin{align*}
y^{\prime }&=\frac {3 x^{4}+3 x^{3}+\sqrt {9 x^{4}-4 y^{3}}}{\left (x +1\right ) y^{2}} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
139.089 |
|
| 25986 |
\begin{align*}
n \left (a +n \right ) y+\left (c -\left (1+a \right ) x \right ) y^{\prime }+\left (1-x \right ) x y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
139.115 |
|
| 25987 |
\begin{align*}
y \left (y^{3}-2 x^{3}\right ) y^{\prime }+\left (2 y^{3}-x^{3}\right ) x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
140.014 |
|
| 25988 |
\begin{align*}
y-2+\left (3 x -y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
140.356 |
|
| 25989 |
\begin{align*}
c x y+\left (a -\left (1+a \right ) x^{2}\right ) y^{\prime }+x \left (-x^{2}+1\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
140.369 |
|
| 25990 |
\begin{align*}
a x y {y^{\prime }}^{2}-\left (a y^{2}+b \,x^{2}+c \right ) y^{\prime }+b x y&=0 \\
\end{align*} |
✓ |
✗ |
✓ |
✗ |
141.655 |
|
| 25991 |
\begin{align*}
x^{2} \left (x^{2}+a \right ) y^{\prime \prime }+\left (b \,x^{2}+c \right ) x y^{\prime }+d y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
141.715 |
|
| 25992 |
\begin{align*}
2 y^{2}+4 x^{2} y+\left (4 y x +3 x^{3}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
141.760 |
|
| 25993 |
\begin{align*}
y^{\prime }&=\sqrt {y}+x \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
142.140 |
|
| 25994 |
\begin{align*}
t \left (t -4\right ) y^{\prime \prime }+3 y^{\prime } t +4 y&=2 \\
y \left (3\right ) &= 0 \\
y^{\prime }\left (3\right ) &= -1 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
142.413 |
|
| 25995 |
\begin{align*}
\left (1+y^{2}\right ) y^{\prime \prime }-2 y {y^{\prime }}^{2}-2 \left (1+y^{2}\right ) y^{\prime }&=y^{2} \left (1+y^{2}\right ) \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
142.660 |
|
| 25996 |
\begin{align*}
1+y x +y y^{\prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
142.749 |
|
| 25997 |
\begin{align*}
y^{\prime }&=\sqrt {\frac {1+y}{y^{2}}} \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
142.940 |
|
| 25998 |
\begin{align*}
y y^{\prime }-y&=\frac {A}{x} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
143.212 |
|
| 25999 |
\begin{align*}
y y^{\prime }+\frac {a \left (13 x -3\right ) y}{6 x^{{2}/{3}}}&=-\frac {a^{2} \left (x -1\right ) \left (5 x -1\right )}{6 x^{{1}/{3}}} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
143.334 |
|
| 26000 |
\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*} |
✗ |
✓ |
✗ |
✗ |
143.861 |
|