| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 24701 |
\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*} |
✓ |
✓ |
✓ |
✗ |
30.588 |
|
| 24702 |
\begin{align*}
y^{\prime } y-y&=\frac {15 x}{4}+\frac {A}{x^{7}} \\
\end{align*} |
✓ |
✗ |
✗ |
✗ |
30.602 |
|
| 24703 |
\begin{align*}
\left (x \cos \left (y\right )+\cos \left (x \right )\right ) y^{\prime }-y \sin \left (x \right )+\sin \left (y\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
30.617 |
|
| 24704 |
\begin{align*}
2 a x y^{\prime \prime }+\left (b x +a \right ) y^{\prime }+c y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
30.635 |
|
| 24705 |
\begin{align*}
y-2+\left (3 x -y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
30.679 |
|
| 24706 |
\begin{align*}
2 x \left (3 x +y-y \,{\mathrm e}^{-x^{2}}\right )+\left (x^{2}+3 y^{2}+{\mathrm e}^{-x^{2}}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
30.691 |
|
| 24707 |
\begin{align*}
x^{\prime }&=4 t^{3} \sqrt {x} \\
x \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
30.706 |
|
| 24708 |
\begin{align*}
y^{\prime } y-y&=2 x +\frac {A}{x^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
30.742 |
|
| 24709 |
\begin{align*}
\left (y-\csc \left (x \right ) \cot \left (x \right )\right ) y^{\prime }+\csc \left (x \right ) \left (y \cos \left (x \right )+1\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
30.756 |
|
| 24710 |
\begin{align*}
\left (x +y+1\right ) y^{\prime }+1+4 x +3 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
30.759 |
|
| 24711 |
\begin{align*}
\cos \left (t \right )^{2}-\sin \left (t \right )^{2}+y+\left (\sec \left (y\right ) \tan \left (y\right )+t \right ) y^{\prime }&=0 \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
30.786 |
|
| 24712 |
\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*} |
✓ |
✓ |
✓ |
✗ |
30.819 |
|
| 24713 |
\begin{align*}
x \left (y x +x^{4}-1\right ) y^{\prime }-y \left (y x -x^{4}-1\right )&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
30.875 |
|
| 24714 |
\begin{align*}
y \left (1+\frac {1}{x}\right )+\cos \left (y\right )+\left (x +\ln \left (x \right )-x \sin \left (y\right )\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
30.915 |
|
| 24715 |
\begin{align*}
\left (1+y\right ) y^{\prime }&=x +y \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
30.956 |
|
| 24716 |
\begin{align*}
\left (\sec \left (x \right ) \tan \left (x \right )-2 y\right ) y^{\prime }+\sec \left (x \right ) \left (1+2 y \sin \left (x \right )\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
30.968 |
|
| 24717 |
\begin{align*}
\left (a x +b y\right ) y^{\prime }+x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
31.006 |
|
| 24718 | \begin{align*}
2 y {y^{\prime }}^{3}-3 y^{\prime } x +2 y&=0 \\
\end{align*} | ✓ | ✓ | ✓ | ✗ | 31.026 |
|
| 24719 |
\begin{align*}
t^{2} x^{\prime \prime }+t x^{\prime }+\left (t^{2}-1\right ) x&=0 \\
x^{\prime }\left (0\right ) &= a \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
31.033 |
|
| 24720 |
\begin{align*}
x^{\prime }&=\frac {a x^{{5}/{6}}}{\left (-B t +b \right )^{{3}/{2}}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
31.041 |
|
| 24721 |
\begin{align*}
x {y^{\prime }}^{2}+2 y^{\prime } y-x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
31.042 |
|
| 24722 |
\begin{align*}
x^{2}-4 y x -2 y^{2}+\left (y^{2}-4 y x -2 x^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
31.047 |
|
| 24723 |
\begin{align*}
y^{\prime }&=f \left (x \right ) y^{2}-a \,x^{n} g \left (x \right ) y+x^{n -1} a n +a^{2} x^{2 n} \left (g \left (x \right )-f \left (x \right )\right ) \\
\end{align*} |
✓ |
✗ |
✗ |
✗ |
31.048 |
|
| 24724 |
\begin{align*}
y^{\prime }&=-y^{3} \\
y \left (0\right ) &= {\frac {1}{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
31.080 |
|
| 24725 |
\begin{align*}
4 x^{2} y^{\prime \prime }+4 y^{\prime } x +\left (-x^{2}+2 \left (1-m +2 l \right ) x -m^{2}+1\right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
31.083 |
|
| 24726 |
\begin{align*}
2 y^{\prime }+\cot \left (x \right ) y&=\frac {8 \cos \left (x \right )^{3}}{y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
31.095 |
|
| 24727 |
\begin{align*}
z^{\prime }-z \sin \left (x \right )&={\mathrm e}^{-\cos \left (x \right )} \\
z \left (2 \pi \right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
31.109 |
|
| 24728 |
\begin{align*}
y \left ({\mathrm e}^{x}+2 y x \right )-{\mathrm e}^{x} y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
31.138 |
|
| 24729 |
\begin{align*}
x \left (2 x +3 y\right ) y^{\prime }&=y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
31.144 |
|
| 24730 |
\begin{align*}
5 \left (t^{2}+1\right ) y^{\prime }&=4 t y \left (y^{3}-1\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
31.163 |
|
| 24731 |
\begin{align*}
y^{\prime }&=\sigma y^{2}+a +b \,{\mathrm e}^{\lambda x}+c \,{\mathrm e}^{2 \lambda x} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
31.176 |
|
| 24732 |
\begin{align*}
y^{\prime } x +a y^{2}-b y-c \,x^{\beta }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
31.228 |
|
| 24733 |
\begin{align*}
3 t y^{\prime }+9 y&=2 t y^{{5}/{3}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
31.275 |
|
| 24734 |
\begin{align*}
t^{2} y^{\prime \prime }+t p \left (t \right ) y^{\prime }+q \left (t \right ) y&=0 \\
\end{align*} Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✗ |
31.342 |
|
| 24735 |
\begin{align*}
y^{\prime }-a \left (x^{n}-x \right ) y^{3}-y^{2}&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
31.342 |
|
| 24736 |
\begin{align*}
y^{\prime }&=a y^{2}+b \,{\mathrm e}^{\lambda x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
31.385 |
|
| 24737 |
\begin{align*}
y^{\prime }&=\frac {x^{{5}/{3}}}{y+x^{{4}/{3}}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
31.440 |
|
| 24738 | \begin{align*}
\sin \left (x \right ) \tan \left (y\right )+1+\cos \left (x \right ) \sec \left (y\right )^{2} y^{\prime }&=0 \\
\end{align*} | ✓ | ✗ | ✓ | ✗ | 31.447 |
|
| 24739 |
\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*} |
✗ |
✓ |
✗ |
✗ |
31.491 |
|
| 24740 |
\begin{align*}
y^{\prime }+y^{2}+a \,x^{m}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
31.501 |
|
| 24741 |
\begin{align*}
2 x -y+\left (-6+4 x +y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
31.505 |
|
| 24742 |
\begin{align*}
y {y^{\prime }}^{2}-4 a^{2} x y^{\prime }+a^{2} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
31.566 |
|
| 24743 |
\begin{align*}
y^{\prime } y+y^{\prime \prime }&=1 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
31.589 |
|
| 24744 |
\begin{align*}
y^{\prime } y-\frac {a \left (1+\frac {2 b}{x^{2}}\right ) y}{2}&=\frac {a^{2} \left (3 x +\frac {4 b}{x}\right )}{16} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
31.592 |
|
| 24745 |
\begin{align*}
\left (x \cos \left (y\right )+\cos \left (x \right )\right ) y^{\prime }-y \sin \left (x \right )+\sin \left (y\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
31.636 |
|
| 24746 |
\begin{align*}
y^{\prime }-\sqrt {\frac {a y^{4}+b y^{2}+1}{a \,x^{4}+b \,x^{2}+1}}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
31.802 |
|
| 24747 |
\begin{align*}
x \left (x -2 y\right ) y^{\prime }+x^{2}+2 y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
31.905 |
|
| 24748 |
\begin{align*}
y^{\prime }&=2 \left (3 x +y\right )^{2}-1 \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
31.937 |
|
| 24749 |
\begin{align*}
\cos \left (x \right ) \cos \left (y\right )+\sin \left (x \right )^{2}-\left (\sin \left (x \right ) \sin \left (y\right )+\cos \left (y\right )^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
31.997 |
|
| 24750 |
\begin{align*}
y^{\prime }&=3 x y^{{1}/{3}} \\
y \left (-1\right ) &= {\frac {3}{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
32.006 |
|
| 24751 |
\begin{align*}
y^{\prime }+a y^{2}-b \,x^{\nu }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
32.036 |
|
| 24752 |
\begin{align*}
y^{\prime \prime }-x^{2} y-x^{3}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
32.040 |
|
| 24753 |
\begin{align*}
\sin \left (x \right ) \tan \left (y\right )+1+\cos \left (x \right ) \sec \left (y\right )^{2} y^{\prime }&=0 \\
\end{align*} |
✓ |
✗ |
✓ |
✗ |
32.063 |
|
| 24754 |
\begin{align*}
x^{2} y^{\prime \prime }+2 y^{\prime } x +\left (l \,x^{2}+a x -n \left (n +1\right )\right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
32.076 |
|
| 24755 |
\begin{align*}
x^{\prime }&=k \left (A -n x\right ) \left (M -m x\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
32.093 |
|
| 24756 |
\begin{align*}
y^{\prime }&=y^{2}+\cos \left (t^{2}\right ) \\
y \left (0\right ) &= 0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
32.154 |
|
| 24757 |
\begin{align*}
y {y^{\prime }}^{2}-4 y^{\prime } x +y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
32.190 |
|
| 24758 | \begin{align*}
8 \left (1+y^{\prime }\right )^{3}&=27 \left (x +y\right ) \left (1-y^{\prime }\right )^{3} \\
\end{align*} | ✓ | ✓ | ✓ | ✗ | 32.235 |
|
| 24759 |
\begin{align*}
y^{2} {\mathrm e}^{y x}+\cos \left (x \right )+\left ({\mathrm e}^{y x}+x y \,{\mathrm e}^{y x}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
32.246 |
|
| 24760 |
\begin{align*}
y^{\prime } y&=a x \cos \left (\lambda \,x^{2}\right ) y+x \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
32.331 |
|
| 24761 |
\begin{align*}
y^{\prime } x +a x y^{2}+b y+c x +d&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
32.347 |
|
| 24762 |
\begin{align*}
y^{\prime \prime }&=-\frac {2 x y^{\prime }}{x^{2}-1}-\frac {v \left (v +1\right ) y}{x^{2} \left (x^{2}-1\right )} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
32.358 |
|
| 24763 |
\begin{align*}
y^{\prime }&={\mathrm e}^{-t^{2}}+y^{2} \\
y \left (0\right ) &= 1 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
32.365 |
|
| 24764 |
\begin{align*}
-y^{3}+y^{\prime } y+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
32.370 |
|
| 24765 |
\begin{align*}
y^{\prime }-\left (a \,x^{n}+b x \right ) y^{3}-c y^{2}&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
32.436 |
|
| 24766 |
\begin{align*}
144 x \left (x -1\right ) y^{\prime \prime }+\left (168 x -96\right ) y^{\prime }+y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
32.508 |
|
| 24767 |
\begin{align*}
{y^{\prime }}^{2}-2 x^{3} y^{2} y^{\prime }-4 x^{2} y^{3}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
32.546 |
|
| 24768 |
\begin{align*}
\left (x \cos \left (y\right )+\cos \left (x \right )\right ) y^{\prime }-y \sin \left (x \right )+\sin \left (y\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
32.605 |
|
| 24769 |
\begin{align*}
y^{\prime }&=\left (9 x +4 y+1\right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
32.637 |
|
| 24770 |
\begin{align*}
y^{\prime }&=\frac {-2 y-2 \ln \left (2 x +1\right )-2+2 x y^{3}+y^{3}+6 y^{2} \ln \left (2 x +1\right ) x +3 y^{2} \ln \left (2 x +1\right )+6 y \ln \left (2 x +1\right )^{2} x +3 y \ln \left (2 x +1\right )^{2}+2 \ln \left (2 x +1\right )^{3} x +\ln \left (2 x +1\right )^{3}}{\left (2 x +1\right ) \left (y+\ln \left (2 x +1\right )+1\right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
32.639 |
|
| 24771 |
\begin{align*}
1-y^{\prime } x&=\ln \left (y\right ) y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
32.661 |
|
| 24772 |
\begin{align*}
y^{\prime } y^{\prime \prime }+y^{n}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
32.663 |
|
| 24773 |
\begin{align*}
y^{\prime }&=\frac {-{\mathrm e}^{2 y} \cos \left (x \right )+\cos \left (y\right ) {\mathrm e}^{-x}}{2 \,{\mathrm e}^{2 y} \sin \left (x \right )-\sin \left (y\right ) {\mathrm e}^{-x}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
32.668 |
|
| 24774 |
\begin{align*}
\left (x^{2} y^{\prime }+y^{2}\right ) \left (y^{\prime } x +y\right )&=\left (1+y^{\prime }\right )^{2} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
32.674 |
|
| 24775 |
\begin{align*}
y^{\prime }&=\frac {1+y}{2+x}-{\mathrm e}^{\frac {1+y}{2+x}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
32.688 |
|
| 24776 |
\begin{align*}
\left (11-11 x -4 y\right ) y^{\prime }&=62-8 x -25 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
32.697 |
|
| 24777 |
\begin{align*}
y^{\prime }&=\frac {2 a +\sqrt {-y^{2}+4 a x}+x^{2} \sqrt {-y^{2}+4 a x}+x^{3} \sqrt {-y^{2}+4 a x}}{y} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
32.714 |
|
| 24778 | \begin{align*}
y^{\prime \prime }+a y y^{\prime }+y^{3} b&=0 \\
\end{align*} | ✓ | ✓ | ✓ | ✗ | 32.731 |
|
| 24779 |
\begin{align*}
\left (y f \left (y^{2}+x^{2}\right )-x \right ) y^{\prime }+y+x f \left (y^{2}+x^{2}\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
32.773 |
|
| 24780 |
\begin{align*}
x^{2}+y^{2}-2 x y^{\prime } y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
32.809 |
|
| 24781 |
\begin{align*}
t \left (s^{2}+t^{2}\right ) s^{\prime }-s \left (s^{2}-t^{2}\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
32.818 |
|
| 24782 |
\begin{align*}
\left (\cos \left (y\right ) x^{2}+2 y \sin \left (x \right )\right ) y^{\prime }+2 x \sin \left (y\right )+y^{2} \cos \left (x \right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
32.837 |
|
| 24783 |
\begin{align*}
2 x^{3} y^{\prime }&=y \left (3 x^{2}+y^{2}\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
32.855 |
|
| 24784 |
\begin{align*}
1+t -2 y+\left (4 t -3 y-6\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
32.895 |
|
| 24785 |
\begin{align*}
y^{\prime } x&=a y^{2}+b y+c \,x^{n} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
32.911 |
|
| 24786 |
\begin{align*}
\left (x -3 y\right ) y^{\prime }+4+3 x -y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
32.937 |
|
| 24787 |
\begin{align*}
y^{\prime }&=\frac {2 x +y-4}{x -y+1} \\
y \left (2\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
32.969 |
|
| 24788 |
\begin{align*}
y^{\prime }&=3 x y^{{1}/{3}} \\
y \left (-1\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
32.981 |
|
| 24789 |
\begin{align*}
\left (y+A \,x^{n}+a \right ) y^{\prime }+n A \,x^{n -1} y+k \,x^{m}+b&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
33.041 |
|
| 24790 |
\begin{align*}
x \cos \left (y\right )^{2}+\tan \left (y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
33.050 |
|
| 24791 |
\begin{align*}
-\left (-x^{4}+4 a \,x^{2}+n^{2}\right ) y+y^{\prime } x +x^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
33.084 |
|
| 24792 |
\begin{align*}
2 x \sin \left (\frac {y}{x}\right )+2 \tan \left (\frac {y}{x}\right ) x -y \cos \left (\frac {y}{x}\right )-y \sec \left (\frac {y}{x}\right )^{2}+\left (x \cos \left (\frac {y}{x}\right )+x \sec \left (\frac {y}{x}\right )^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
33.115 |
|
| 24793 |
\begin{align*}
2 y^{\prime }-3 y^{2}-4 a y-b -c \,{\mathrm e}^{-2 a x}&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
33.122 |
|
| 24794 |
\begin{align*}
\cos \left (y\right )-x \sin \left (y\right ) y^{\prime }&=\sec \left (x \right )^{2} \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
33.135 |
|
| 24795 |
\begin{align*}
{y^{\prime }}^{3}-x^{3} \left (1-y^{\prime }\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
33.165 |
|
| 24796 |
\begin{align*}
{y^{\prime }}^{3}-a {y^{\prime }}^{2}+b y+a b x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
33.328 |
|
| 24797 | \begin{align*}
y^{\prime \prime }+\sin \left (y\right )&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 2 \\
\end{align*} | ✓ | ✓ | ✗ | ✗ | 33.349 |
|
| 24798 |
\begin{align*}
y^{\prime }&=\frac {2 x y \,{\mathrm e}^{\frac {y}{x}}}{x^{2}+y^{2} \sin \left (\frac {x}{y}\right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
33.362 |
|
| 24799 |
\begin{align*}
\left (\sin \left (x \right ) \sin \left (y\right )-x \,{\mathrm e}^{y}\right ) y^{\prime }&={\mathrm e}^{y}+\cos \left (x \right ) \cos \left (y\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
33.541 |
|
| 24800 |
\begin{align*}
3 y \sin \left (x \right )-\cos \left (y\right )+\left (x \sin \left (y\right )-3 \cos \left (x \right )\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
33.606 |
|