| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 25701 |
\begin{align*}
y {y^{\prime \prime }}^{3}+y^{3} y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
60.381 |
|
| 25702 |
\begin{align*}
2 y x +\left (x^{2}+2 y x +y^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
60.386 |
|
| 25703 |
\begin{align*}
\left (x -{y^{\prime }}^{2}\right ) y^{\prime \prime }&=x^{2}-y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
60.404 |
|
| 25704 |
\begin{align*}
f \left (x^{2}+y^{2}\right ) \sqrt {1+{y^{\prime }}^{2}}-y^{\prime } x +y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
60.482 |
|
| 25705 |
\begin{align*}
1+\frac {1}{1+x^{2}+4 y x +y^{2}}+\left (\frac {1}{\sqrt {y}}+\frac {1}{1+x^{2}+2 y x +y^{2}}\right ) y^{\prime }&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
60.531 |
|
| 25706 |
\begin{align*}
4 \left (x^{2}+y^{2}\right ) x -5 y+4 y \left (x^{2}+y^{2}-5 x \right ) y^{\prime }&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
60.570 |
|
| 25707 |
\begin{align*}
\left (a^{2}-1\right ) x^{2} {y^{\prime }}^{2}+2 y y^{\prime } x -y^{2}+a^{2} x^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
60.584 |
|
| 25708 |
\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*} |
✗ |
✓ |
✓ |
✗ |
60.621 |
|
| 25709 |
\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*} |
✓ |
✓ |
✓ |
✗ |
60.665 |
|
| 25710 |
\begin{align*}
{y^{\prime }}^{3}-2 y y^{\prime }+y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
60.784 |
|
| 25711 |
\begin{align*}
y^{\prime \prime }+\sqrt {t}\, y^{\prime }-\sqrt {t -3}\, y&=0 \\
y \left (10\right ) &= y_{1} \\
y^{\prime }\left (10\right ) &= y_{1} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
60.806 |
|
| 25712 |
\begin{align*}
2 x -y-1+\left (3 x +2 y-5\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
60.846 |
|
| 25713 |
\begin{align*}
x^{4} y \left (3 y+2 y^{\prime } x \right )+x^{2} \left (4 y+3 y^{\prime } x \right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
60.890 |
|
| 25714 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime }+\left (1+y^{2}\right ) \left (2 y x -1\right )&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
60.897 |
|
| 25715 |
\begin{align*}
y^{\prime } x&=y+\sqrt {x^{2}-y^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
60.994 |
|
| 25716 |
\begin{align*}
y^{\prime \prime }+\sqrt {t}\, y^{\prime }+y&=\sqrt {t} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
61.001 |
|
| 25717 |
\begin{align*}
y^{\prime }&=\sin \left (x +y\right )+\cos \left (x +y\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
61.123 |
|
| 25718 |
\begin{align*}
y^{\prime \prime } x +\left (a b \,x^{2}+b -5\right ) y^{\prime }+2 a^{2} \left (b -2\right ) x^{3} y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
61.140 |
|
| 25719 |
\begin{align*}
-\left (k -p \right ) \left (1+k +p \right ) y-2 \left (1+k \right ) x y^{\prime }+\left (-x^{2}+1\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
61.254 |
|
| 25720 |
\begin{align*}
y^{\prime }&=\frac {x -y+5}{2 x -y-3} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
61.348 |
|
| 25721 |
\begin{align*}
\left (1-x^{2} y\right ) y^{\prime }-1+x y^{2}&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
61.364 |
|
| 25722 |
\begin{align*}
y y^{\prime \prime }&=c y^{2}+b y y^{\prime }+a {y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
61.368 |
|
| 25723 |
\begin{align*}
\operatorname {a2} y+x \left (\operatorname {b1} x +\operatorname {a1} \right ) y^{\prime }+x^{3} y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
61.596 |
|
| 25724 |
\begin{align*}
y^{\prime }&=\frac {2 a x +2 a +x^{3} \sqrt {-y^{2}+4 a x}}{\left (x +1\right ) y} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
61.694 |
|
| 25725 |
\begin{align*}
y^{\prime }&=\frac {3 y^{2}-t^{2}}{2 t y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
61.724 |
|
| 25726 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime \prime }-y^{\prime } x +\left (2 a \,x^{2}+b \right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
61.907 |
|
| 25727 |
\begin{align*}
y^{\prime }&=-\left (1+k \right ) x^{k} y^{2}+\lambda \operatorname {arccot}\left (x \right )^{n} \left (x^{1+k} y-1\right ) \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
61.945 |
|
| 25728 |
\begin{align*}
\left (\left (-4 a^{2}+1\right ) x^{2}+y^{2}\right ) {y^{\prime }}^{2}-8 a^{2} x y y^{\prime }+x^{2}+\left (-4 a^{2}+1\right ) y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
62.148 |
|
| 25729 |
\begin{align*}
x^{2} y^{\prime }+y^{2}&=y y^{\prime } x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
62.239 |
|
| 25730 |
\begin{align*}
\left (b x +a \right ) y+2 \left (1-2 x \right ) y^{\prime }+4 \left (1-x \right ) x y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
62.325 |
|
| 25731 |
\begin{align*}
3+y+2 y^{2} \sin \left (x \right )^{2}+\left (x +2 y x -y \sin \left (2 x \right )\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
62.401 |
|
| 25732 |
\begin{align*}
x&=y y^{\prime }+a {y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
62.537 |
|
| 25733 |
\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*} |
✗ |
✓ |
✓ |
✗ |
62.594 |
|
| 25734 |
\begin{align*}
x \left (y x -3\right ) y^{\prime }+x y^{2}-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
62.622 |
|
| 25735 |
\begin{align*}
x^{2} y^{\prime \prime }-4 y^{\prime } x +6 y-x^{4}+x^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
62.626 |
|
| 25736 |
\begin{align*}
-x^{\prime \prime }&=\frac {1}{\sqrt {x^{2}+1}}-x \\
x \left (a \right ) &= 0 \\
x \left (b \right ) &= 0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
62.753 |
|
| 25737 |
\begin{align*}
y^{\prime }&=-\frac {4 x +3 y+15}{2 x +y+7} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
62.780 |
|
| 25738 |
\begin{align*}
2 y^{\prime }&=\left (\lambda +a -\cos \left (\lambda x \right ) a \right ) y^{2}+\lambda -a -\cos \left (\lambda x \right ) a \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
62.783 |
|
| 25739 |
\begin{align*}
x_{1}^{\prime }&=2 x_{1}+x_{2}+1 \\
x_{2}^{\prime }&=x_{1}-2 x_{2}+x_{3} \\
x_{3}^{\prime }&=x_{2}-x_{3} \\
\end{align*} With initial conditions \begin{align*}
x_{1} \left (0\right ) &= 0 \\
x_{2} \left (0\right ) &= 0 \\
x_{3} \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
62.857 |
|
| 25740 |
\begin{align*}
2 x^{2} y-x^{3} y^{\prime }&=y^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
62.884 |
|
| 25741 |
\begin{align*}
y^{\prime }&=a \,x^{n} y^{2}+b m \,x^{m -1}-a \,b^{2} x^{n +2 m} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
62.884 |
|
| 25742 |
\begin{align*}
\sin \left (x +y\right )-y y^{\prime }&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
62.884 |
|
| 25743 |
\begin{align*}
y^{2}-x^{2}-2 y y^{\prime } x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
62.915 |
|
| 25744 |
\begin{align*}
p \left (2 k +p \right ) y-\left (1+2 k \right ) x y^{\prime }+\left (-x^{2}+1\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
62.983 |
|
| 25745 |
\begin{align*}
2 y^{\prime \prime } x +x^{2} y^{\prime }-\sin \left (x \right ) y&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
63.063 |
|
| 25746 |
\begin{align*}
x^{2}-2 y^{2}+y y^{\prime } x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
63.085 |
|
| 25747 |
\begin{align*}
2 t +\left (y-3 t \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
63.089 |
|
| 25748 |
\begin{align*}
x \left (x +y\right ) y^{\prime }+y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
63.155 |
|
| 25749 |
\begin{align*}
y&=y^{\prime } x +x \sqrt {1+{y^{\prime }}^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
63.234 |
|
| 25750 |
\begin{align*}
\left (x -3 y+4\right ) y^{\prime }+7 y-5 x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
63.270 |
|
| 25751 |
\begin{align*}
y^{\prime }&=\frac {2 a +x^{2} \sqrt {-y^{2}+4 a x}}{y} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
63.307 |
|
| 25752 |
\begin{align*}
\left (1-x \right ) y^{\prime \prime }-4 y^{\prime } x +5 y&=\cos \left (x \right ) \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
63.310 |
|
| 25753 |
\begin{align*}
y^{\prime }&=-\left (1+k \right ) x^{k} y^{2}+\lambda \arccos \left (x \right )^{n} \left (x^{1+k} y-1\right ) \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
63.323 |
|
| 25754 |
\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*} |
✗ |
✓ |
✗ |
✗ |
63.415 |
|
| 25755 |
\begin{align*}
\left (2 t +1\right ) x^{\prime \prime }+t^{3} x^{\prime }+x&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
63.505 |
|
| 25756 |
\begin{align*}
3 x -y-6+\left (x +y+2\right ) y^{\prime }&=0 \\
y \left (2\right ) &= -2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
63.516 |
|
| 25757 |
\begin{align*}
y y^{\prime }-y&=A x +B \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
63.523 |
|
| 25758 |
\begin{align*}
x -\sqrt {x^{2}+y^{2}}+\left (y-\sqrt {x^{2}+y^{2}}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
63.690 |
|
| 25759 |
\begin{align*}
2 x^{2} y+y^{3}-x^{3} y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
63.772 |
|
| 25760 |
\begin{align*}
y^{\prime }-a \sqrt {1+y^{2}}-b&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
63.787 |
|
| 25761 |
\begin{align*}
y y^{\prime }+a \left (2 b x +1\right ) {\mathrm e}^{b x} y&=-a^{2} b \,x^{2} {\mathrm e}^{2 b x} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
63.804 |
|
| 25762 |
\begin{align*}
y^{\prime }&=\frac {2 a +x \sqrt {-y^{2}+4 a x}}{y} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
63.836 |
|
| 25763 |
\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*} |
✗ |
✓ |
✓ |
✗ |
63.865 |
|
| 25764 |
\begin{align*}
x \left (2 a x y+b \right ) y^{\prime }&=-4 a \,x^{2} y^{2}-3 b x y+c \,x^{2}+k \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
64.003 |
|
| 25765 |
\begin{align*}
r^{\prime \prime }&=-\frac {k}{r^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
64.031 |
|
| 25766 |
\begin{align*}
y^{\prime }&=\lambda \sin \left (\lambda x \right ) y^{2}+f \left (x \right ) \cos \left (\lambda x \right ) y-f \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
64.043 |
|
| 25767 |
\begin{align*}
x \left (x^{2}-y x +y^{2}\right ) y^{\prime }+\left (x^{2}+y x +y^{2}\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
64.284 |
|
| 25768 |
\begin{align*}
y \left (x^{2}-y x +y^{2}\right )+x y^{\prime } \left (x^{2}+y x +y^{2}\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
64.471 |
|
| 25769 |
\begin{align*}
\left (\operatorname {b2} x +\operatorname {a2} \right ) y+x \left (\operatorname {b1} x +\operatorname {a1} \right ) y^{\prime }+x^{3} y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
64.519 |
|
| 25770 |
\begin{align*}
\left (t +x+2\right ) x^{\prime }+3 t -x-6&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
64.647 |
|
| 25771 |
\begin{align*}
2 t y y^{\prime }&=3 y^{2}-t^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
64.713 |
|
| 25772 |
\begin{align*}
2 t \cos \left (y\right )+3 t^{2} y+\left (2 y+2 t^{2}\right ) y^{\prime }&=0 \\
y \left (0\right ) &= 1 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
64.731 |
|
| 25773 |
\begin{align*}
\left (y^{\prime } x +y\right )^{2}&=y^{2} y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
64.744 |
|
| 25774 |
\begin{align*}
y y^{\prime }-y&=\frac {6}{25} x -A \,x^{2} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
64.764 |
|
| 25775 |
\begin{align*}
t \left (t^{2}-4\right ) y^{\prime \prime }+y&={\mathrm e}^{t} \\
y \left (1\right ) &= y_{1} \\
y^{\prime }\left (1\right ) &= y_{1} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
64.867 |
|
| 25776 |
\begin{align*}
y y^{\prime }-y&=-\frac {6}{25} x -A \,x^{2} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
64.923 |
|
| 25777 |
\begin{align*}
y^{\prime }&=\frac {c t -a y}{A t +b y} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
65.322 |
|
| 25778 |
\begin{align*}
y^{\prime } x&=\sin \left (x -y\right ) \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
65.623 |
|
| 25779 |
\begin{align*}
2 y^{\prime } x +1&=4 i x y+y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
65.672 |
|
| 25780 |
\begin{align*}
{y^{\prime }}^{3}+y^{3}-3 y y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
65.714 |
|
| 25781 |
\begin{align*}
x^{n} y^{\prime }&=x^{2 n -1}-y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
65.872 |
|
| 25782 |
\begin{align*}
\frac {1}{x^{2}-y x +y^{2}}&=\frac {y^{\prime }}{2 y^{2}-y x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
65.946 |
|
| 25783 |
\begin{align*}
\left (\left (-y+a \right ) \left (-y+b \right )+\left (-y+a \right ) \left (c -y\right )+\left (-y+b \right ) \left (c -y\right )\right ) {y^{\prime }}^{2}+2 \left (-y+a \right ) \left (-y+b \right ) \left (c -y\right ) y^{\prime \prime }&=\operatorname {a3} \left (-y+a \right )^{2} \left (-y+b \right )^{2}+2 \operatorname {a2} \left (-y+a \right )^{2} \left (c -y\right )^{2}+\operatorname {a1} \left (-y+b \right )^{2} \left (c -y\right )^{2}+\operatorname {a0} \left (-y+a \right )^{2} \left (-y+b \right )^{2} \left (c -y\right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
66.057 |
|
| 25784 |
\begin{align*}
\left (a \,x^{2}+b x +c \right )^{{3}/{2}} y^{\prime \prime }-F \left (\frac {y}{\sqrt {a \,x^{2}+b x +c}}\right )&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
66.072 |
|
| 25785 |
\begin{align*}
\left (2 x^{2} y-x \right ) y^{\prime }-2 x y^{2}-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
66.079 |
|
| 25786 |
\begin{align*}
y y^{\prime }-\frac {a \left (x \left (m -1\right )+1\right ) y}{x}&=\frac {a^{2} \left (x m +1\right ) \left (x -1\right )}{x} \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
66.132 |
|
| 25787 |
\begin{align*}
\left (x^{2} y-1\right ) y^{\prime }-x y^{2}+1&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
66.164 |
|
| 25788 |
\begin{align*}
y^{\prime }&=-\left (1+k \right ) x^{k} y^{2}+\lambda \arcsin \left (x \right )^{n} \left (x^{1+k} y-1\right ) \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
66.367 |
|
| 25789 |
\begin{align*}
x^{3} y^{\prime }&=a \,x^{3} y^{2}+\left (b \,x^{2}+c \right ) y+s x \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
66.446 |
|
| 25790 |
\begin{align*}
y^{\prime }&=a +b y-\sqrt {A +B y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
66.456 |
|
| 25791 |
\begin{align*}
\left (x -y^{\prime }-y\right )^{2}&=x^{2} \left (2 y x -x^{2} y^{\prime }\right ) \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
66.469 |
|
| 25792 |
\begin{align*}
U^{\prime }&=\frac {U+1}{\sqrt {s}+\sqrt {s U}} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
66.487 |
|
| 25793 |
\begin{align*}
y^{\prime }&=\frac {3 y^{2}-x^{2}}{2 y x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
66.503 |
|
| 25794 |
\begin{align*}
y y^{\prime }-y&=\frac {2 a^{2}}{\sqrt {8 a^{2}+x^{2}}} \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
66.569 |
|
| 25795 |
\begin{align*}
2 \left (1+y\right )^{{3}/{2}}+3 y^{\prime } x -3 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
66.692 |
|
| 25796 |
\begin{align*}
x^{2} y^{\prime }+y^{2}&=y y^{\prime } x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
66.911 |
|
| 25797 |
\begin{align*}
y^{\prime }&=y^{{1}/{3}} \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
66.973 |
|
| 25798 |
\begin{align*}
-x^{\prime \prime }+x&={\mathrm e}^{-x} \\
x \left (a \right ) &= 0 \\
x \left (b \right ) &= 0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
67.083 |
|
| 25799 |
\begin{align*}
y^{2}+\left (x \sqrt {y^{2}-x^{2}}-y x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
67.135 |
|
| 25800 |
\begin{align*}
{y^{\prime }}^{3}-y^{\prime } x +a y&=0 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
67.362 |
|