| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 24601 |
\begin{align*}
y^{\prime }&=\frac {x +\frac {y}{2}}{\frac {x}{2}-y} \\
y \left (1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
25.851 |
|
| 24602 |
\begin{align*}
y^{\prime }&=\frac {x +y-1}{x -y-1} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
25.880 |
|
| 24603 |
\begin{align*}
\left (2 \sqrt {y x}-x \right ) y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
25.881 |
|
| 24604 |
\begin{align*}
y^{\prime }&=\frac {x -2 y}{y-2 x} \\
y \left (1\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
25.955 |
|
| 24605 |
\begin{align*}
x^{2}+6 y^{2}-4 y y^{\prime } x&=0 \\
y \left (1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
25.964 |
|
| 24606 |
\begin{align*}
2 y x +\left (-x^{2}+y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
25.973 |
|
| 24607 |
\begin{align*}
y^{\prime }&=\frac {y^{3}-3 x y^{2}+3 x^{2} y-x^{3}+x^{2}}{\left (x -1\right ) \left (x +1\right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
25.978 |
|
| 24608 |
\begin{align*}
x y^{3} y^{\prime }+y^{4}-x \sin \left (x \right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
25.997 |
|
| 24609 |
\begin{align*}
y y^{\prime }-y&=6 x +\frac {A}{x^{4}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
26.022 |
|
| 24610 |
\begin{align*}
x \left (2 x^{2}+y^{2}\right )+y \left (x^{2}+2 y^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
26.036 |
|
| 24611 |
\begin{align*}
y^{\prime }&=\frac {y \left (-1-x \,{\mathrm e}^{\frac {x +1}{x -1}}+x^{2} {\mathrm e}^{\frac {x +1}{x -1}} y-x^{2} {\mathrm e}^{\frac {x +1}{x -1}}+x^{3} {\mathrm e}^{\frac {x +1}{x -1}} y\right )}{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
26.050 |
|
| 24612 |
\begin{align*}
2 y^{\prime }+a x&=\sqrt {a^{2} x^{2}-4 b \,x^{2}-4 c y} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
26.061 |
|
| 24613 |
\begin{align*}
y \left (y+x^{2}\right )+x \left (x^{2}-2 y\right ) y^{\prime }&=0 \\
y \left (1\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
26.062 |
|
| 24614 |
\begin{align*}
x^{\prime \prime }+\left (x^{4}+x^{2}\right ) x^{\prime }+x^{3}+x&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
26.088 |
|
| 24615 |
\begin{align*}
x \left (2 y x +1\right ) y^{\prime }+\left (1+2 y x -y^{2} x^{2}\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
26.090 |
|
| 24616 |
\begin{align*}
y^{\prime }&=\frac {2+y \,{\mathrm e}^{y x}}{2 y-x \,{\mathrm e}^{y x}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
26.127 |
|
| 24617 |
\begin{align*}
y \left (x +y+1\right )+x \left (x +3 y+2\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
26.128 |
|
| 24618 |
\begin{align*}
3 x^{2}+6 x y^{2}+\left (6 x^{2}+4 y^{3}\right ) y^{\prime }&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
26.129 |
|
| 24619 |
\begin{align*}
\left (a +x \left (x +y\right )\right ) y^{\prime }&=b \left (x +y\right ) y \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
26.133 |
|
| 24620 |
\begin{align*}
y^{\prime }-\sqrt {\frac {a y^{4}+b y^{2}+1}{x^{4} a +b \,x^{2}+1}}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
26.134 |
|
| 24621 |
\begin{align*}
8 \left (1+y^{\prime }\right )^{3}&=27 \left (x +y\right ) \left (1-y^{\prime }\right )^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
26.139 |
|
| 24622 |
\begin{align*}
y^{2}-\left (y x +x^{3}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
26.189 |
|
| 24623 |
\begin{align*}
y^{\prime }&=\frac {x^{2}+2 x +1+2 x^{3} \sqrt {x^{2}+2 x +1-4 y}}{2 x +2} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
26.199 |
|
| 24624 |
\begin{align*}
y^{\prime }&=-\frac {4 x +2 y}{2 x +3 y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
26.207 |
|
| 24625 |
\begin{align*}
\left (x \cos \left (\frac {y}{x}\right )+y \sin \left (\frac {y}{x}\right )\right ) y&=\left (y \sin \left (\frac {y}{x}\right )-x \cos \left (\frac {y}{x}\right )\right ) x y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
26.215 |
|
| 24626 |
\begin{align*}
y^{\prime }+3 y&={\mathrm e}^{i x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
26.224 |
|
| 24627 |
\begin{align*}
\left (\operatorname {a0} +4 \operatorname {a1} \cosh \left (x \right )^{2}-\operatorname {a2} \operatorname {sech}\left (x \right )^{2}\right ) y+\tanh \left (x \right ) y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
26.235 |
|
| 24628 |
\begin{align*}
{y^{\prime }}^{2}&=y+x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
26.244 |
|
| 24629 |
\begin{align*}
\sin \left (2 x \right )+\cos \left (3 y\right ) y^{\prime }&=0 \\
y \left (\frac {\pi }{2}\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
26.257 |
|
| 24630 |
\begin{align*}
6 x y^{2}+2 y+\left (12 x^{2} y+6 x +3\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
26.266 |
|
| 24631 |
\begin{align*}
2 x^{3} y-y^{2}-\left (2 x^{4}+y x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
26.269 |
|
| 24632 |
\begin{align*}
{y^{\prime }}^{2}-2 y y^{\prime }-2 x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
26.302 |
|
| 24633 |
\begin{align*}
y^{\prime }&=\frac {t -y}{y+t} \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
26.322 |
|
| 24634 |
\begin{align*}
6 x +4 y+1+\left (4 x +2 y+2\right ) y^{\prime }&=0 \\
y \left (\frac {1}{2}\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
26.325 |
|
| 24635 |
\begin{align*}
y^{\prime }&=\frac {x +y+4}{x -y-6} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
26.325 |
|
| 24636 |
\begin{align*}
\left (3 x +2\right ) \left (y-2 x -1\right ) y^{\prime }-y^{2}+y x -7 x^{2}-9 x -3&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
26.402 |
|
| 24637 |
\begin{align*}
\left (x^{2}+y x +a \right ) y^{\prime }&=y^{2}+y x +b \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
26.493 |
|
| 24638 |
\begin{align*}
y^{\prime }&=\frac {\left (y-\ln \left (x \right )-\operatorname {Ci}\left (x \right )\right )^{2}+\cos \left (x \right )}{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
26.548 |
|
| 24639 |
\begin{align*}
y&=x {y^{\prime }}^{2}+\ln \left ({y^{\prime }}^{2}\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
26.575 |
|
| 24640 |
\begin{align*}
2 y^{2}-4 x +5&=\left (4-2 y+4 y x \right ) y^{\prime } \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
26.578 |
|
| 24641 |
\begin{align*}
\left (1+y^{\prime }\right )^{3}&=\frac {7 \left (x +y\right ) \left (1-y^{\prime }\right )^{3}}{4 a} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
26.589 |
|
| 24642 |
\begin{align*}
x^{2}+y^{2}+3 y y^{\prime } x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
26.593 |
|
| 24643 |
\begin{align*}
\left (a x +b \right )^{2} y^{\prime }+\left (a x +b \right ) y^{3}+c y^{2}&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
26.621 |
|
| 24644 |
\begin{align*}
x^{3}+y^{3}&=3 y^{\prime } y^{2} x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
26.647 |
|
| 24645 |
\begin{align*}
\left (3 x^{2}+2 y^{2}\right ) y y^{\prime }+x^{3}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
26.683 |
|
| 24646 |
\begin{align*}
\frac {1-6 x^{2} y}{x}+\frac {\left (2+5 y-3 x^{2} y\right ) y^{\prime }}{y}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
26.703 |
|
| 24647 |
\begin{align*}
{\mathrm e}^{x} \sin \left (y\right )+3 y-\left (3 x -{\mathrm e}^{x} \sin \left (y\right )\right ) y^{\prime }&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
26.735 |
|
| 24648 |
\begin{align*}
\left (-x +2 y\right ) y^{\prime }-y-2 x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
26.763 |
|
| 24649 |
\begin{align*}
x +y+\left (x -y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
26.768 |
|
| 24650 |
\begin{align*}
y^{\prime }&=\frac {-6 x +y-3}{2 x -y-1} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
26.793 |
|
| 24651 |
\begin{align*}
x {y^{\prime }}^{2}+a y y^{\prime }+b x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
26.795 |
|
| 24652 |
\begin{align*}
x^{2} y^{\prime \prime }+\left (x^{n} a +b \right ) y^{\prime } x +\left (\alpha \,x^{2 n}+\beta \,x^{n}+\gamma \right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
26.813 |
|
| 24653 |
\begin{align*}
y^{3}-2 x^{2} y+\left (2 x y^{2}-x^{3}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
26.830 |
|
| 24654 |
\begin{align*}
\frac {-x +y}{\left (x +y\right )^{3}}-\frac {2 x y^{\prime }}{\left (x +y\right )^{3}}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
26.831 |
|
| 24655 |
\begin{align*}
y^{\prime }&=\frac {\left (y x +1\right )^{3}}{x^{5}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
26.835 |
|
| 24656 |
\begin{align*}
y \cos \left (t \right )+\sin \left (t \right ) y^{\prime }&={\mathrm e}^{t} \\
y \left (1\right ) &= a \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
26.871 |
|
| 24657 |
\begin{align*}
x^{3} y^{\prime }&=a \,x^{3} y^{2}+x \left (b x +c \right ) y+x \alpha +\beta \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
26.872 |
|
| 24658 |
\begin{align*}
x +y y^{\prime }&=0 \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
26.876 |
|
| 24659 |
\begin{align*}
y+2&=\left (2 x +y-4\right ) y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
26.877 |
|
| 24660 |
\begin{align*}
y^{\prime }&=\sqrt {x^{2}-y}-x \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
26.884 |
|
| 24661 |
\begin{align*}
y^{\prime }&=-\frac {t}{y} \\
y \left (0\right ) &= {\frac {1}{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
26.895 |
|
| 24662 |
\begin{align*}
x \sin \left (\frac {y}{x}\right ) y^{\prime }&=y \sin \left (\frac {y}{x}\right )+x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
26.905 |
|
| 24663 |
\begin{align*}
y^{\prime \prime }+y \sec \left (x \right )&=0 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
26.952 |
|
| 24664 |
\begin{align*}
y^{\prime }+\frac {2 y}{x}&=\frac {3 y^{2} x^{2}+6 y x +2}{x^{2} \left (2 y x +3\right )} \\
y \left (2\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
26.953 |
|
| 24665 |
\begin{align*}
\left (x +2 y+1\right ) y^{\prime }+7+x -4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
26.981 |
|
| 24666 |
\begin{align*}
\left (x -3\right ) y^{\prime \prime }+y \ln \left (x \right )&=x^{2} \\
y \left (1\right ) &= 1 \\
y^{\prime }\left (1\right ) &= 2 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
27.014 |
|
| 24667 |
\begin{align*}
x^{\prime }&=\frac {\sec \left (t \right )^{2}}{\sec \left (x\right ) \tan \left (x\right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
27.049 |
|
| 24668 |
\begin{align*}
x \cos \left (\frac {y}{x}\right ) \left (y^{\prime } x +y\right )&=y \sin \left (\frac {y}{x}\right ) \left (-y+y^{\prime } x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
27.052 |
|
| 24669 |
\begin{align*}
-y+y^{\prime } t&=\sqrt {t y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
27.069 |
|
| 24670 |
\begin{align*}
{y^{\prime }}^{4}&=\frac {1}{x y^{3}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
27.069 |
|
| 24671 |
\begin{align*}
y^{\prime }&=6 \sqrt {y}+5 x^{3} \\
y \left (-1\right ) &= 4 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
27.074 |
|
| 24672 |
\begin{align*}
y-2 x -1+\left (x +y-4\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
27.092 |
|
| 24673 |
\begin{align*}
y y^{\prime }&=-x \\
y \left (0\right ) &= 4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
27.096 |
|
| 24674 |
\begin{align*}
y^{\prime }&=\frac {y^{2}}{y x -x^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
27.112 |
|
| 24675 |
\begin{align*}
y^{\prime }&=\cos \left (y\right ) \\
y \left (-1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
27.134 |
|
| 24676 |
\begin{align*}
x -y \cos \left (\frac {y}{x}\right )+x \cos \left (\frac {y}{x}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
27.137 |
|
| 24677 |
\begin{align*}
x -y+\left (3 x +y\right ) y^{\prime }&=0 \\
y \left (2\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
27.152 |
|
| 24678 |
\begin{align*}
\left (x +2 y\right ) y^{\prime }&=1 \\
y \left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
27.156 |
|
| 24679 |
\begin{align*}
y^{\prime } x&={\mathrm e}^{\frac {y}{x}} x +y \\
y \left (1\right ) &= \ln \left (2\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
27.168 |
|
| 24680 |
\begin{align*}
y^{\prime }&=a \,{\mathrm e}^{\mu x} y^{2}+a b \,{\mathrm e}^{\left (\lambda +\mu \right ) x} y-b \lambda \,{\mathrm e}^{\lambda x} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
27.215 |
|
| 24681 |
\begin{align*}
\left (3 \cos \left (x \right ) y+2\right ) y^{\prime }&=\sin \left (x \right ) y^{2} \\
y \left (0\right ) &= -4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
27.223 |
|
| 24682 |
\begin{align*}
y^{\prime }&=x +y^{2} \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
27.235 |
|
| 24683 |
\begin{align*}
y^{\prime }&=\frac {y \tan \left (\frac {y}{x}\right )}{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
27.241 |
|
| 24684 |
\begin{align*}
\left (x +y-1\right ) y^{\prime }&=x -y+1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
27.270 |
|
| 24685 |
\begin{align*}
\left (c_{2} x^{2}+b_{2} x +a_{2} \right ) \left (y^{\prime }+\lambda y^{2}\right )+\left (b_{1} x +a_{1} \right ) y+a_{0}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
27.293 |
|
| 24686 |
\begin{align*}
x^{2} y^{\prime }&=c \,x^{2} y^{2}+\left (x^{n} a +b \right ) x y+\alpha \,x^{2 n}+\beta \,x^{n}+\gamma \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
27.312 |
|
| 24687 |
\begin{align*}
x^{2} y^{\prime \prime }+4 y^{\prime } x +2 y&=\ln \left (x \right ) \\
y \left (1\right ) &= 2 \\
y^{\prime }\left (1\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
27.377 |
|
| 24688 |
\begin{align*}
x y^{\prime } \cot \left (\frac {y}{x}\right )+2 x \sin \left (\frac {y}{x}\right )-y \cot \left (\frac {y}{x}\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
27.400 |
|
| 24689 |
\begin{align*}
y y^{\prime \prime }-{y^{\prime }}^{2}+a y y^{\prime }-2 a y^{2}+y^{3} b&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
27.408 |
|
| 24690 |
\begin{align*}
y^{\prime }&=\frac {y-x +1}{3 x -y-1} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
27.415 |
|
| 24691 |
\begin{align*}
-\left (4 k^{2}-\left (-p^{2}+1\right ) \sinh \left (x \right )^{2}\right ) y+4 \cosh \left (x \right ) \sinh \left (x \right ) y^{\prime }+4 \sinh \left (x \right )^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
27.418 |
|
| 24692 |
\begin{align*}
y^{\prime }&=\frac {-y \sin \left (\frac {y}{x}\right )+y \sin \left (\frac {3 y}{2 x}\right ) \cos \left (\frac {y}{2 x}\right )+y \cos \left (\frac {y}{2 x}\right ) \sin \left (\frac {y}{2 x}\right )+2 \sin \left (\frac {y}{x}\right ) \cos \left (\frac {y}{2 x}\right ) \sin \left (\frac {y}{2 x}\right ) x +2 \sin \left (\frac {y}{x}\right ) x^{3} \cos \left (\frac {y}{2 x}\right ) \sin \left (\frac {y}{2 x}\right )+2 \sin \left (\frac {y}{x}\right ) x^{4} \cos \left (\frac {y}{2 x}\right ) \sin \left (\frac {y}{2 x}\right )}{2 \cos \left (\frac {y}{x}\right ) \cos \left (\frac {y}{2 x}\right ) \sin \left (\frac {y}{2 x}\right ) x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
27.447 |
|
| 24693 |
\begin{align*}
\sec \left (x \right )^{2} \tan \left (y\right )+\sec \left (y\right )^{2} \tan \left (x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
27.451 |
|
| 24694 |
\begin{align*}
x^{2} y^{\prime \prime }&=f \left (\frac {x y^{\prime }}{y}\right ) y \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
27.472 |
|
| 24695 |
\begin{align*}
y^{\prime }-\frac {y}{\left (\pi -1\right ) x}&=\frac {3 x y^{\pi }}{1-\pi } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
27.503 |
|
| 24696 |
\begin{align*}
y^{\prime }&=\frac {t -y}{y+t} \\
y \left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
27.507 |
|
| 24697 |
\begin{align*}
y^{\prime }&=\frac {\ln \left (t y\right )}{1-t^{2}+y^{2}} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
27.565 |
|
| 24698 |
\begin{align*}
{y^{\prime }}^{3}+m {y^{\prime }}^{2}&=a \left (y+x m \right ) \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
27.581 |
|
| 24699 |
\begin{align*}
\frac {\sin \left (2 x \right )}{y}+x +\left (y-\frac {\sin \left (x \right )^{2}}{y^{2}}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
27.589 |
|
| 24700 |
\begin{align*}
\sin \left (x \right )+\sin \left (y\right )+\left (x \cos \left (y\right )+\cos \left (y\right )\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
27.606 |
|