| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 24601 |
\begin{align*}
2 y^{\prime }+\cot \left (x \right ) y&=\frac {8 \cos \left (x \right )^{3}}{y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
33.504 |
|
| 24602 |
\begin{align*}
{\mathrm e}^{y^{2}}-\csc \left (y\right ) \csc \left (x \right )^{2}+\left (2 x y \,{\mathrm e}^{y^{2}}-\csc \left (y\right ) \cot \left (y\right ) \cot \left (x \right )\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
33.530 |
|
| 24603 |
\begin{align*}
{\mathrm e}^{-x} y-\sin \left (x \right )-\left ({\mathrm e}^{-x}+2 y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
33.576 |
|
| 24604 |
\begin{align*}
x +y+\left (x -2 y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
33.598 |
|
| 24605 |
\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*} |
✓ |
✓ |
✓ |
✗ |
33.669 |
|
| 24606 |
\begin{align*}
{y^{\prime }}^{2}-2 y y^{\prime }&=y^{2} \left ({\mathrm e}^{2 x}-1\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
33.678 |
|
| 24607 |
\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*} |
✓ |
✓ |
✓ |
✗ |
33.688 |
|
| 24608 |
\begin{align*}
y^{\prime }&=\frac {F \left (\frac {\left (3+y\right ) {\mathrm e}^{\frac {3 x^{2}}{2}}}{3 y}\right ) x y^{2} {\mathrm e}^{3 x^{2}} {\mathrm e}^{-\frac {9 x^{2}}{2}}}{9} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
33.689 |
|
| 24609 |
\begin{align*}
y^{\prime }&=\frac {x^{2} \left (1-y^{2}\right )+y \,{\mathrm e}^{\frac {y}{x}}}{x \left ({\mathrm e}^{\frac {y}{x}}+2 x^{2} y\right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
33.694 |
|
| 24610 |
\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*} |
✓ |
✓ |
✓ |
✗ |
33.695 |
|
| 24611 |
\begin{align*}
y^{\prime }-\frac {\tan \left (y\right )}{x +1}&=\left (x +1\right ) {\mathrm e}^{x} \sec \left (y\right ) \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
33.743 |
|
| 24612 |
\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*} |
✓ |
✓ |
✗ |
✗ |
33.760 |
|
| 24613 |
\begin{align*}
{y^{\prime }}^{2}+\left (a +6 y\right ) y^{\prime }+y \left (3 a +b +9 y\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
33.763 |
|
| 24614 |
\begin{align*}
y^{\prime \prime }&=a y {\left (1+\left (b -y^{\prime }\right )^{2}\right )}^{{3}/{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
33.767 |
|
| 24615 |
\begin{align*}
a^{2} {y^{\prime \prime }}^{2}&=\left (1+{y^{\prime }}^{2}\right )^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
33.777 |
|
| 24616 |
\begin{align*}
y^{\prime \prime } x +\left (a x +b \right ) y^{\prime }+c \left (\left (a -c \right ) x +b \right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
33.796 |
|
| 24617 |
\begin{align*}
y^{\prime \prime } x +\left (a \,x^{n}+b x \right ) y^{\prime }+\left (x^{n} a b +x^{n -1} a n -b \right ) y&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
33.835 |
|
| 24618 |
\begin{align*}
x^{2} \left (-1+y\right ) y^{\prime \prime }-2 x^{2} {y^{\prime }}^{2}-2 x \left (-1+y\right ) y^{\prime }-2 y \left (-1+y\right )^{2}&=0 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
33.888 |
|
| 24619 |
\begin{align*}
\left (x^{3}+3\right ) y^{\prime }+2 y x +5 x^{2}&=0 \\
y \left (2\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
33.900 |
|
| 24620 |
\begin{align*}
{y^{\prime }}^{4}&=\frac {1}{x y^{3}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
33.902 |
|
| 24621 |
\begin{align*}
y^{4}+\left (t^{4}-t y^{3}\right ) y^{\prime }&=0 \\
y \left (1\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✗ |
✓ |
33.944 |
|
| 24622 |
\begin{align*}
y \ln \left (y^{\prime }\right )+y^{\prime }-y \ln \left (y\right )-y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
33.961 |
|
| 24623 |
\begin{align*}
x^{3} {y^{\prime }}^{2}+y^{\prime } x -y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
33.987 |
|
| 24624 |
\begin{align*}
y^{\prime } x&=a \,x^{n} \left (y+b \ln \left (x \right )\right )^{2}-b \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
34.048 |
|
| 24625 |
\begin{align*}
x^{2}+y^{2}+2 y y^{\prime } x&=0 \\
y \left (1\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
34.082 |
|
| 24626 |
\begin{align*}
\left (a b x +a n +b m \right ) y+\left (m +n +\left (a +b \right ) x \right ) y^{\prime }+y^{\prime \prime } x&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
34.122 |
|
| 24627 |
\begin{align*}
y+2 \sqrt {t^{2}+y^{2}}-y^{\prime } t&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
34.132 |
|
| 24628 |
\begin{align*}
y y^{\prime \prime }-{y^{\prime }}^{2}+a y y^{\prime }-2 a y^{2}+y^{3} b&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
34.158 |
|
| 24629 |
\begin{align*}
z^{\prime }-z \sin \left (x \right )&={\mathrm e}^{-\cos \left (x \right )} \\
z \left (2 \pi \right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
34.161 |
|
| 24630 |
\begin{align*}
a x y y^{\prime }&=x^{2}+y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
34.188 |
|
| 24631 |
\begin{align*}
\left (2 x +1\right ) y^{\prime \prime }-2 \left (2 x^{2}-1\right ) y^{\prime }-4 \left (x +1\right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
34.219 |
|
| 24632 |
\begin{align*}
-y+y^{\prime } x&=\sqrt {4 x^{2}-y^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
34.224 |
|
| 24633 |
\begin{align*}
2 x +y^{2}-\cos \left (x +y\right )+\left (2 y x -\cos \left (x +y\right )-{\mathrm e}^{y}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
34.286 |
|
| 24634 |
\begin{align*}
y^{\prime } x&=a y^{2}+b \ln \left (x \right )+c \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
34.328 |
|
| 24635 |
\begin{align*}
2 y^{\prime } t -y&=2 t y^{3} \cos \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
34.338 |
|
| 24636 |
\begin{align*}
2 x y^{3}+\cos \left (x \right ) y+\left (3 y^{2} x^{2}+\sin \left (x \right )\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
34.345 |
|
| 24637 |
\begin{align*}
{\mathrm e}^{y^{2}}-\csc \left (y\right ) \csc \left (x \right )^{2}+\left (2 x y \,{\mathrm e}^{y^{2}}-\csc \left (y\right ) \cot \left (y\right ) \cot \left (x \right )\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
34.346 |
|
| 24638 |
\begin{align*}
x^{\prime \prime }+x^{\prime }+{x^{\prime }}^{3}+x&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
34.396 |
|
| 24639 |
\begin{align*}
-y+y^{\prime } t&=t y^{3} \sin \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
34.400 |
|
| 24640 |
\begin{align*}
y^{\prime }&=\frac {x^{3}+x^{2} y-y^{3}}{x^{3}-x y^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
34.435 |
|
| 24641 |
\begin{align*}
z^{\prime }-z \sin \left (x \right )&={\mathrm e}^{-\cos \left (x \right )} \\
z \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
34.469 |
|
| 24642 |
\begin{align*}
\left (a \,x^{n}+x^{m} b +c \right ) \left (-y+y^{\prime } x \right )+s \,x^{k} \left (y^{2}-\lambda \,x^{2}\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
34.473 |
|
| 24643 |
\begin{align*}
y-x^{2} \sqrt {x^{2}-y^{2}}-y^{\prime } x&=0 \\
y \left (1\right ) &= 1 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
34.513 |
|
| 24644 |
\begin{align*}
5 x +2 y+1+\left (2 x +y+1\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
34.531 |
|
| 24645 |
\begin{align*}
y^{\prime \prime }-\left (\frac {m \left (m -1\right )}{\cos \left (x \right )^{2}}+\frac {n \left (n -1\right )}{\sin \left (x \right )^{2}}+a \right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
34.534 |
|
| 24646 |
\begin{align*}
x \left (x +y\right ) y^{\prime }-y \left (x +y\right )+x \sqrt {x^{2}-y^{2}}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
34.536 |
|
| 24647 |
\begin{align*}
y-3 x +\left (3 x +4 y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
34.542 |
|
| 24648 |
\begin{align*}
\cos \left (x \right ) \cos \left (y\right )+\left (\sin \left (x \right ) \cos \left (y\right )-\sin \left (x \right ) \sin \left (y\right )+y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
34.547 |
|
| 24649 |
\begin{align*}
2 x +3 y-1+\left (2 x -3 y+2\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
34.556 |
|
| 24650 |
\begin{align*}
y+x \ln \left (\frac {y}{x}\right ) y^{\prime }-2 y^{\prime } x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
34.564 |
|
| 24651 |
\begin{align*}
y^{\prime \prime }-f \left (x \right ) y^{\prime }+\left (f \left (x \right )-1\right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
34.577 |
|
| 24652 |
\begin{align*}
\sin \left (x \right ) y-2 \cos \left (y\right )+\tan \left (x \right )-\left (\cos \left (x \right )-2 x \sin \left (y\right )+\sin \left (y\right )\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
34.619 |
|
| 24653 |
\begin{align*}
y^{\prime }&=\left (\frac {\ln \left (-1+y\right ) y}{\left (1-y\right ) \ln \left (x \right ) x}-\frac {\ln \left (-1+y\right )}{\left (1-y\right ) \ln \left (x \right ) x}-f \left (x \right )\right ) \left (1-y\right ) \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
34.624 |
|
| 24654 |
\begin{align*}
x \left (y x -3\right ) y^{\prime }+x y^{2}-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
34.787 |
|
| 24655 |
\begin{align*}
{y^{\prime }}^{6}+f \left (x \right ) \left (y-a \right )^{4} \left (y-b \right )^{3}&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
34.794 |
|
| 24656 |
\begin{align*}
y^{\prime }-\frac {y-x^{2} \sqrt {x^{2}-y^{2}}}{x y \sqrt {x^{2}-y^{2}}+x}&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
34.823 |
|
| 24657 |
\begin{align*}
x^{\prime }&=-3 x-3 y+z \\
y^{\prime }&=2 y+2 z+29 \,{\mathrm e}^{-t} \\
z^{\prime }&=5 x+y+z+39 \,{\mathrm e}^{t} \\
\end{align*} With initial conditions \begin{align*}
x \left (0\right ) &= 1 \\
y \left (0\right ) &= 2 \\
z \left (0\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
34.834 |
|
| 24658 |
\begin{align*}
y y^{\prime }&=\frac {3 y}{\left (a x +b \right )^{{1}/{3}} x^{{5}/{3}}}+\frac {3}{\left (a x +b \right )^{{2}/{3}} x^{{7}/{3}}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
34.877 |
|
| 24659 |
\begin{align*}
y^{\prime }-y x&=-x^{2}+1 \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
34.923 |
|
| 24660 |
\begin{align*}
3 x^{2} y^{4}+2 y x +\left (2 x^{3} y^{2}-x^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
34.928 |
|
| 24661 |
\begin{align*}
y^{\prime } x -2 \cos \left (x \right ) y&={\mathrm e}^{x} \sin \left (x \right )^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
34.931 |
|
| 24662 |
\begin{align*}
y^{\prime }&=\frac {x^{3}+y^{3}}{y^{2} x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
34.940 |
|
| 24663 |
\begin{align*}
\cos \left (\frac {t}{y+t}\right )+{\mathrm e}^{\frac {2 y}{t}} y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
34.947 |
|
| 24664 |
\begin{align*}
x^{2} {y^{\prime }}^{2}-2 y y^{\prime } x -x^{4}+y^{2} \left (-x^{2}+1\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
34.973 |
|
| 24665 |
\begin{align*}
s^{\prime }&=\sqrt {\frac {1-t}{1-s}} \\
s \left (1\right ) &= 0 \\
\end{align*} |
✓ |
✗ |
✓ |
✓ |
34.981 |
|
| 24666 |
\begin{align*}
3 \sin \left (x \right ) y-\cos \left (y\right )+\left (x \sin \left (y\right )-3 \cos \left (x \right )\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
35.079 |
|
| 24667 |
\begin{align*}
\left (\operatorname {c2} \,x^{2}+\operatorname {b2} x +\operatorname {a2} \right ) y+x \left (\operatorname {b1} x +\operatorname {a1} \right ) y^{\prime }+x^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
35.086 |
|
| 24668 |
\begin{align*}
-y+x \left (x +3\right ) y^{\prime }+x^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
35.107 |
|
| 24669 |
\begin{align*}
\left (-x +2 y\right ) y^{\prime }&=2 x +y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
35.111 |
|
| 24670 |
\begin{align*}
y^{\prime } x&=a \,x^{n}+b y+c y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
35.118 |
|
| 24671 |
\begin{align*}
\left (a^{2}-x^{2}\right ) \left (a^{2}-y^{2}\right ) y^{\prime \prime }+\left (a^{2}-x^{2}\right ) y {y^{\prime }}^{2}-x \left (a^{2}-y^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
35.170 |
|
| 24672 |
\begin{align*}
\left (x^{2}-1\right ) y^{\prime }+\lambda \left (1-2 y x +y^{2}\right )&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
35.184 |
|
| 24673 |
\begin{align*}
y^{\prime }&=\frac {\left (3 x y^{2}+x +3 y^{2}\right ) y}{\left (x +6 y^{2}\right ) x \left (x +1\right )} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
35.185 |
|
| 24674 |
\begin{align*}
a \sin \left (y\right )+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
35.203 |
|
| 24675 |
\begin{align*}
y^{\prime }&=\frac {x +y}{x -y} \\
y \left (1\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
35.204 |
|
| 24676 |
\begin{align*}
x^{2}+2 y y^{\prime }&=0 \\
y \left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
35.258 |
|
| 24677 |
\begin{align*}
\left (x^{2}+a \right )^{2} y^{\prime \prime }+b \,x^{n} \left (x^{2}+a \right ) y^{\prime }-\left (b \,x^{n +1}+a \right ) y&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
35.269 |
|
| 24678 |
\begin{align*}
y^{\prime } \cos \left (y\right )+\left (\sin \left (y\right )-1\right ) \cos \left (x \right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
35.273 |
|
| 24679 |
\begin{align*}
\cos \left (x \right ) y^{\prime }+\sin \left (x \right ) y^{\prime \prime }+n y \sin \left (x \right )&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
35.298 |
|
| 24680 |
\begin{align*}
x +2+\left (2 x +y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
35.340 |
|
| 24681 |
\begin{align*}
x \left (x -y\right ) y^{\prime }+y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
35.356 |
|
| 24682 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime } x +x^{2} y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
35.390 |
|
| 24683 |
\begin{align*}
y^{\prime }&=x^{2}+y^{2}-1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
35.391 |
|
| 24684 |
\begin{align*}
\ln \left (y^{\prime }\right )+y^{\prime } x +a +b y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
35.421 |
|
| 24685 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime }+x \sin \left (y\right ) \cos \left (y\right )-x \left (x^{2}+1\right ) \cos \left (y\right )^{2}&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
35.448 |
|
| 24686 |
\begin{align*}
2 x \left (2 x^{2}+y\right ) y^{\prime }+\left (12 x^{2}+y\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
35.512 |
|
| 24687 |
\begin{align*}
y^{\prime }&={\mathrm e}^{-t^{2}}+y^{2} \\
y \left (0\right ) &= 0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
35.513 |
|
| 24688 |
\begin{align*}
\frac {2 y x +1}{y}+\frac {\left (-x +y\right ) y^{\prime }}{y^{2}}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
35.592 |
|
| 24689 |
\begin{align*}
x \sin \left (\frac {y}{x}\right ) y^{\prime }&=y \sin \left (\frac {y}{x}\right )+x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
35.607 |
|
| 24690 |
\begin{align*}
2 y x +y^{2}+\left (x^{2}+2 y x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
35.615 |
|
| 24691 |
\begin{align*}
y y^{\prime }+\frac {a \left (6 x -1\right ) y}{2 x}&=-\frac {a^{2} \left (x -1\right ) \left (4 x -1\right )}{2 x} \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
35.618 |
|
| 24692 |
\begin{align*}
2 x -y+\left (-6+4 x +y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
35.624 |
|
| 24693 |
\begin{align*}
x \left (a \,x^{k}+b \right ) y^{\prime }&=\alpha \,x^{n} y^{2}+\left (\beta -a n \,x^{k}\right ) y+\gamma \,x^{-n} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
35.631 |
|
| 24694 |
\begin{align*}
\tan \left (y\right )-2+\left (x \sec \left (y\right )^{2}+\frac {1}{y}\right ) y^{\prime }&=0 \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
35.703 |
|
| 24695 |
\begin{align*}
y^{\prime }&=\frac {x}{x +y} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
35.703 |
|
| 24696 |
\begin{align*}
2 y^{\prime \prime }&=\sin \left (2 y\right ) \\
y \left (0\right ) &= \frac {\pi }{2} \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✗ |
✓ |
✗ |
35.714 |
|
| 24697 |
\begin{align*}
2 x^{3} y^{\prime }&=\left (3 x^{2}+a y^{2}\right ) y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
35.727 |
|
| 24698 |
\begin{align*}
y^{\prime }&=\lambda \arcsin \left (x \right )^{n} y^{2}-b \lambda \,x^{m} \arcsin \left (x \right )^{n} y+b m \,x^{m -1} \\
\end{align*} |
✓ |
✗ |
✗ |
✗ |
35.729 |
|
| 24699 |
\begin{align*}
2 x y^{3}+\cos \left (x \right ) y+\left (3 y^{2} x^{2}+\sin \left (x \right )\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
35.763 |
|
| 24700 |
\begin{align*}
y^{\prime }&=\frac {-2 x +4 y}{x +y} \\
y \left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
35.789 |
|