| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 25601 |
\begin{align*}
x \left (2 x +3 y\right ) y^{\prime }+3 \left (x +y\right )^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
20.823 |
|
| 25602 |
\begin{align*}
y^{\prime }&=-\frac {x}{2}+1+\sqrt {x^{2}-4 x +4 y}+x^{2} \sqrt {x^{2}-4 x +4 y}+x^{3} \sqrt {x^{2}-4 x +4 y} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
20.853 |
|
| 25603 |
\begin{align*}
\sqrt {1+{y^{\prime }}^{2}}+a y^{\prime }&=y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
20.879 |
|
| 25604 |
\begin{align*}
2 y^{\prime } x +y&=y^{2} \sqrt {x -y^{2} x^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
20.897 |
|
| 25605 |
\begin{align*}
y^{\prime }&=\frac {1+2 x -y}{x +2 y-3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
20.903 |
|
| 25606 |
\begin{align*}
x {y^{\prime }}^{2}+a y y^{\prime }+b x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
20.908 |
|
| 25607 |
\begin{align*}
\left (\frac {\operatorname {e1} \left (a +x \right )}{\left (\left (a +x \right )^{2}+y^{2}\right )^{{3}/{2}}}+\frac {\operatorname {e2} \left (x -a \right )}{\left (\left (x -a \right )^{2}+y^{2}\right )^{{3}/{2}}}\right ) y^{\prime }-y \left (\frac {\operatorname {e1}}{\left (\left (a +x \right )^{2}+y^{2}\right )^{{3}/{2}}}+\frac {\operatorname {e2}}{\left (\left (x -a \right )^{2}+y^{2}\right )^{{3}/{2}}}\right )&=0 \\
\end{align*} |
✓ |
✗ |
✗ |
✗ |
20.917 |
|
| 25608 |
\begin{align*}
x^{\prime }&=7 x-4 y+10 \,{\mathrm e}^{t} \\
y^{\prime }&=3 x+14 y+6 \,{\mathrm e}^{2 t} \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 1 \\
y \left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
20.925 |
|
| 25609 |
\begin{align*}
y^{\prime }&=\frac {b \,x^{3}+c^{2} \sqrt {a}-2 c b \,x^{2} \sqrt {a}+2 c y^{2} a^{{3}/{2}}+b^{2} x^{4} \sqrt {a}-2 y^{2} a^{{3}/{2}} b \,x^{2}+a^{{5}/{2}} y^{4}}{a \,x^{2} y} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
20.948 |
|
| 25610 |
\begin{align*}
t^{3}+y^{3}-t y^{2} y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
20.958 |
|
| 25611 |
\begin{align*}
\left (a \,x^{2}+b x +c \right ) y^{\prime }&=y^{2}+\left (2 \lambda x +b \right ) y+\lambda \left (\lambda -a \right ) x^{2}+\mu \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
20.970 |
|
| 25612 |
\begin{align*}
\left (a x +b \right )^{2} y^{\prime }+\left (a x +b \right ) y^{3}+c y^{2}&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
20.973 |
|
| 25613 |
\begin{align*}
\sin \left (x^{\prime }\right )+y^{3} x&=\sin \left (y \right ) \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
20.973 |
|
| 25614 |
\begin{align*}
a y-2 \left (1-x \right ) y^{\prime }+x^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
20.991 |
|
| 25615 |
\begin{align*}
y^{\prime }&=y^{2}+\lambda \operatorname {arccot}\left (x \right )^{n} y-a^{2}+a \lambda \operatorname {arccot}\left (x \right )^{n} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
21.000 |
|
| 25616 |
\begin{align*}
\left (x +y+1\right ) y^{\prime }+1+4 x +3 y&=0 \\
y \left (3\right ) &= -4 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
21.023 |
|
| 25617 |
\begin{align*}
x^{2} y^{\prime \prime }-y^{\prime } x +2 y&=\ln \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
21.026 |
|
| 25618 |
\begin{align*}
x^{\prime \prime }-\left (1-\frac {{x^{\prime }}^{2}}{3}\right ) x^{\prime }+x&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
21.031 |
|
| 25619 |
\begin{align*}
y^{\prime } x&=a \,{\mathrm e}^{\lambda x} y^{2}+k y+a \,b^{2} x^{2 k} {\mathrm e}^{\lambda x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
21.042 |
|
| 25620 |
\begin{align*}
y^{\prime }&=\frac {-\sin \left (\frac {y}{x}\right ) y x -y \sin \left (\frac {y}{x}\right )+y \sin \left (\frac {3 y}{2 x}\right ) \cos \left (\frac {y}{2 x}\right ) x +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 ) x +y \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 \left (x +1\right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
21.075 |
|
| 25621 |
\begin{align*}
2 x \left (5 x^{2}+y^{2}\right ) y^{\prime }+y^{3}-x^{2} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
21.105 |
|
| 25622 |
\begin{align*}
x^{2} \left (a \,x^{n}-1\right ) \left (y^{\prime }+\lambda y^{2}\right )+\left (p \,x^{n}+q \right ) x y+r \,x^{n}+s&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
21.124 |
|
| 25623 |
\begin{align*}
\ln \left (y^{\prime }\right )+y^{\prime } x +a +b y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
21.128 |
|
| 25624 |
\begin{align*}
2 x +y+\left (2 y+2 x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
21.150 |
|
| 25625 |
\begin{align*}
y^{\prime \prime }&={\mathrm e}^{y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
21.158 |
|
| 25626 |
\begin{align*}
v \left (3 x +2 v\right )-x^{2} v^{\prime }&=0 \\
v \left (1\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
21.158 |
|
| 25627 |
\begin{align*}
y+\sqrt {x^{2}+y^{2}}-y^{\prime } x&=0 \\
y \left (\sqrt {3}\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
21.216 |
|
| 25628 |
\begin{align*}
\left (a x +b y\right ) y^{\prime }+b x +a y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
21.235 |
|
| 25629 |
\begin{align*}
x^{2}+2 y x -4 y^{2}-\left (x^{2}-8 y x -4 y^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
21.240 |
|
| 25630 |
\begin{align*}
y^{\prime }&=-\frac {\left (-1-y^{4}+2 y^{2} x^{2}-x^{4}-y^{6}+3 x^{2} y^{4}-3 y^{2} x^{4}+x^{6}\right ) x}{y} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
21.264 |
|
| 25631 |
\begin{align*}
b y+a \left (-1+y^{2}\right ) y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
21.292 |
|
| 25632 |
\begin{align*}
y y^{\prime }+a y+b \,{\mathrm e}^{x}-2 a&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
21.299 |
|
| 25633 |
\begin{align*}
y x -\left (x +2 y\right )^{2} y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
21.319 |
|
| 25634 |
\begin{align*}
x \left (2 x +3 y\right ) y^{\prime }+3 \left (x +y\right )^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
21.323 |
|
| 25635 |
\begin{align*}
y^{\prime }&=t y^{2} \\
y \left (0\right ) &= {\frac {1}{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
21.352 |
|
| 25636 |
\begin{align*}
2 y y^{\prime } x +3 x^{2}-y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
21.362 |
|
| 25637 |
\begin{align*}
x^{2} y^{\prime \prime }+y^{\prime } x +y&=\frac {1}{x^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
21.378 |
|
| 25638 |
\begin{align*}
y^{\prime }&=\frac {2 y^{3}+2 x^{2} y}{x^{3}+2 x y^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
21.380 |
|
| 25639 |
\begin{align*}
x \left (\ln \left (x \right )-\ln \left (y\right )\right ) y^{\prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
21.381 |
|
| 25640 |
\begin{align*}
6 y^{2}-x \left (2 x^{3}+y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
21.404 |
|
| 25641 |
\begin{align*}
y^{\prime }&=\frac {2 x y^{2}}{1-x^{2} y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
21.407 |
|
| 25642 |
\begin{align*}
\sin \left (x \right ) y^{\prime \prime }+y^{\prime } x +7 y&=1 \\
y \left (1\right ) &= 1 \\
y^{\prime }\left (1\right ) &= 0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
21.411 |
|
| 25643 |
\begin{align*}
\left (a_{2} x +b_{2} \right ) \left (y^{\prime }+\lambda y^{2}\right )+\left (a_{1} x +b_{1} \right ) y+a_{0} x +b_{0}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
21.423 |
|
| 25644 |
\begin{align*}
x^{2} {y^{\prime }}^{2}-2 y y^{\prime } x -x^{4}+y^{2} \left (-x^{2}+1\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
21.452 |
|
| 25645 |
\begin{align*}
x^{2}+y^{2}-2 y y^{\prime } x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
21.474 |
|
| 25646 |
\begin{align*}
y^{\prime }&=\frac {1}{\left (3 x +3 y+2\right )^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
21.487 |
|
| 25647 |
\begin{align*}
y^{\prime }-\frac {y}{\left (\pi -1\right ) x}&=\frac {3 x y^{\pi }}{1-\pi } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
21.510 |
|
| 25648 |
\begin{align*}
y^{\prime }-\frac {9 x y}{9 x^{2}+49}&=x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
21.536 |
|
| 25649 |
\begin{align*}
x \left (x^{2}+2 y^{2}\right ) y^{\prime }&=\left (2 x^{2}+3 y^{2}\right ) y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
21.559 |
|
| 25650 |
\begin{align*}
x^{2} y^{\prime \prime }-\left (x^{2}-2 x \right ) y^{\prime }-\left (a +x \right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
21.565 |
|
| 25651 |
\begin{align*}
y^{\prime }&=\frac {x +3 y}{x -3 y} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
21.571 |
|
| 25652 |
\begin{align*}
y^{\prime }&=\frac {y \tan \left (\frac {y}{x}\right )}{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
21.574 |
|
| 25653 |
\begin{align*}
{y^{\prime }}^{2}-2 y y^{\prime }-2 x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
21.608 |
|
| 25654 |
\begin{align*}
{y^{\prime }}^{2}+a x y^{\prime }-b \,x^{2}-c&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
21.610 |
|
| 25655 |
\begin{align*}
x^{2} y^{\prime \prime }-2 y^{\prime } x +2 y&=2 x \ln \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
21.654 |
|
| 25656 |
\begin{align*}
{y^{\prime }}^{4}+3 \left (x -1\right ) {y^{\prime }}^{2}-3 \left (-1+2 y\right ) y^{\prime }+3 x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
21.682 |
|
| 25657 |
\begin{align*}
x_{1}^{\prime }&=x_{2} \\
x_{2}^{\prime }&=x_{3} \\
x_{3}^{\prime }&=x_{4} \\
x_{4}^{\prime }&=-x_{1}-2 x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
21.700 |
|
| 25658 |
\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*} |
✓ |
✓ |
✓ |
✓ |
21.704 |
|
| 25659 |
\begin{align*}
y^{\prime } x&=\sqrt {x^{2}+y^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
21.704 |
|
| 25660 |
\begin{align*}
\left (3-x -y\right ) y^{\prime }&=1+x -3 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
21.707 |
|
| 25661 |
\begin{align*}
y^{\prime }&=y^{2}+a x \cosh \left (b x \right )^{m} y+a \cosh \left (b x \right )^{m} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
21.713 |
|
| 25662 |
\begin{align*}
x \sqrt {1-y^{2}}+y \sqrt {-x^{2}+1}\, y^{\prime }&=0 \\
y \left (\frac {1}{2}\right ) &= {\frac {1}{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
21.715 |
|
| 25663 |
\begin{align*}
x^{2} y^{\prime \prime }-2 y^{\prime } x +2 y&=x^{5} \ln \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
21.746 |
|
| 25664 |
\begin{align*}
\theta ^{\prime }&=\frac {11}{10}-\frac {9 \cos \left (\theta \right )}{10} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
21.753 |
|
| 25665 |
\begin{align*}
y^{\prime }&=\frac {y \left (-1-x^{\frac {2}{1+\ln \left (x \right )}} {\mathrm e}^{\frac {2 \ln \left (x \right )^{2}}{1+\ln \left (x \right )}} x^{2}-x^{\frac {2}{1+\ln \left (x \right )}} {\mathrm e}^{\frac {2 \ln \left (x \right )^{2}}{1+\ln \left (x \right )}} x^{2} \ln \left (x \right )+x^{\frac {2}{1+\ln \left (x \right )}} {\mathrm e}^{\frac {2 \ln \left (x \right )^{2}}{1+\ln \left (x \right )}} x^{2} y+2 x^{\frac {2}{1+\ln \left (x \right )}} {\mathrm e}^{\frac {2 \ln \left (x \right )^{2}}{1+\ln \left (x \right )}} x^{2} y \ln \left (x \right )+x^{\frac {2}{1+\ln \left (x \right )}} {\mathrm e}^{\frac {2 \ln \left (x \right )^{2}}{1+\ln \left (x \right )}} x^{2} y \ln \left (x \right )^{2}\right )}{\left (1+\ln \left (x \right )\right ) x} \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
21.757 |
|
| 25666 |
\begin{align*}
y^{\prime }&=y^{2}+\lambda x \arctan \left (x \right )^{n} y+\arctan \left (x \right )^{n} \lambda \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
21.774 |
|
| 25667 |
\begin{align*}
y^{\prime }&=y^{2} \sinh \left (\lambda x \right ) a +b \sinh \left (\lambda x \right ) \cosh \left (\lambda x \right )^{n} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
21.818 |
|
| 25668 |
\begin{align*}
\left (\cos \left (x +y\right )+\sin \left (x -y\right )\right ) y^{\prime }&=\cos \left (2 x \right ) \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
21.828 |
|
| 25669 |
\begin{align*}
S^{\prime }&=S^{3}-2 S^{2}+S \\
S \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
21.874 |
|
| 25670 |
\begin{align*}
y&=\sqrt {1+{y^{\prime }}^{2}}+a y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
21.875 |
|
| 25671 |
\begin{align*}
x^{2} y^{\prime \prime }+4 y^{\prime } x +2 y&={\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
21.877 |
|
| 25672 |
\begin{align*}
y^{\prime } x&=y+\sqrt {x^{2}-y^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
21.892 |
|
| 25673 |
\begin{align*}
\left (3-x +y\right ) y^{\prime }&=11-4 x +3 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
21.894 |
|
| 25674 |
\begin{align*}
2 x -y-y y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
21.898 |
|
| 25675 |
\begin{align*}
y^{\prime }&=\frac {2 y+x +7}{-2 x +y-9} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
21.910 |
|
| 25676 |
\begin{align*}
y^{\prime }&=y^{2}+a x \tanh \left (b x \right )^{m} y+a \tanh \left (b x \right )^{m} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
21.917 |
|
| 25677 |
\begin{align*}
y^{\prime }&=\frac {x -y}{x +y} \\
y \left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
21.925 |
|
| 25678 |
\begin{align*}
\left (1+y^{\prime }\right )^{3}&=\frac {7 \left (x +y\right ) \left (1-y^{\prime }\right )^{3}}{4 a} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
21.951 |
|
| 25679 |
\begin{align*}
y^{\prime }&=k \left (a -y\right ) \left (b -y\right ) \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
21.955 |
|
| 25680 |
\begin{align*}
y^{\prime }&={\mathrm e}^{\lambda x} f \left (x \right ) y^{2}+\left (a f \left (x \right )-\lambda \right ) y+b \,{\mathrm e}^{-\lambda x} f \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
21.956 |
|
| 25681 |
\begin{align*}
\left (x +y\right ) y^{\prime }+x -y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
21.966 |
|
| 25682 |
\begin{align*}
\theta ^{\prime }&=\frac {9}{10}-\frac {11 \cos \left (\theta \right )}{10} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
22.003 |
|
| 25683 |
\begin{align*}
x \left (x^{2}-2 y^{2}\right ) y^{\prime }&=\left (2 x^{2}-y^{2}\right ) y \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
22.006 |
|
| 25684 |
\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*} |
✓ |
✓ |
✓ |
✗ |
22.015 |
|
| 25685 |
\begin{align*}
y^{\prime }&=f \left (x \right ) y^{2}+g \left (x \right ) y+h \left (x \right ) \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
22.030 |
|
| 25686 |
\begin{align*}
\csc \left (a \right )^{2} y-2 \tan \left (a \right ) y^{\prime }+y^{\prime \prime }&={\mathrm e}^{x \tan \left (a \right )} x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
22.043 |
|
| 25687 |
\begin{align*}
y^{\prime }&=\frac {x +a y}{a x -y} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
22.074 |
|
| 25688 |
\begin{align*}
3 t^{2}+3 y^{2}+6 t y y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
22.087 |
|
| 25689 |
\begin{align*}
y^{\prime }&=3-\sin \left (y\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
22.092 |
|
| 25690 |
\begin{align*}
x^{2} y^{\prime \prime }-\left (2 x^{2} \tan \left (x \right )-x \right ) y^{\prime }-\left (a +x \tan \left (x \right )\right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
22.108 |
|
| 25691 |
\begin{align*}
x -2 y+1+\left (4 x -3 y-6\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
22.144 |
|
| 25692 |
\begin{align*}
2 y^{\prime } x -y+\frac {x^{2}}{y^{2}}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
22.183 |
|
| 25693 |
\begin{align*}
x^{\prime }&=\sin \left (x\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
22.185 |
|
| 25694 |
\begin{align*}
a t +b y-\left (c t +d y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
22.208 |
|
| 25695 |
\begin{align*}
y^{\prime } x&=\sqrt {x^{2}+y^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
22.216 |
|
| 25696 |
\begin{align*}
x_{1}^{\prime }&=x_{1}+x_{2}-x_{3}+{\mathrm e}^{2 t} \\
x_{2}^{\prime }&=2 x_{1}+3 x_{2}-4 x_{3}+2 \,{\mathrm e}^{2 t} \\
x_{3}^{\prime }&=4 x_{1}+x_{2}-4 x_{3}+{\mathrm e}^{2 t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
22.217 |
|
| 25697 |
\begin{align*}
a \left (1+{y^{\prime }}^{3}\right )^{{1}/{3}}+b x y^{\prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
22.226 |
|
| 25698 |
\begin{align*}
\left (x^{2}+3 y x -y^{2}\right ) y^{\prime }-3 y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
22.239 |
|
| 25699 |
\begin{align*}
y^{\prime \prime }-x^{3} y-x^{4}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
22.241 |
|
| 25700 |
\begin{align*}
2 t y+\left (t^{2}+y^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
22.251 |
|