| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 23501 |
\begin{align*}
\left (6 x -4 y+1\right ) y^{\prime }&=3 x -2 y+1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.010 |
|
| 23502 |
\begin{align*}
y^{\prime }&=\frac {2 x^{2} \cosh \left (\frac {1}{x -1}\right )-2 x \cosh \left (\frac {1}{x -1}\right )-1+y^{2}-2 x^{2} y+x^{4}-x +x y^{2}-2 x^{3} y+x^{5}}{\left (x -1\right ) \cosh \left (\frac {1}{x -1}\right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
10.013 |
|
| 23503 |
\begin{align*}
y^{\prime }&=\frac {2 x^{2} \cos \left (x \right )+2 x^{3} \sin \left (x \right )-2 x \sin \left (x \right )+2 x +2 x^{2} y^{2}-4 x \sin \left (x \right ) y+4 y \cos \left (x \right ) x^{2}+4 y x +3-\cos \left (2 x \right )-2 \sin \left (2 x \right ) x -4 \sin \left (x \right )+x^{2} \cos \left (2 x \right )+x^{2}+4 x \cos \left (x \right )}{2 x^{3}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
10.013 |
|
| 23504 |
\begin{align*}
y^{\prime }&=\frac {-a x +b y}{b x -c y} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
10.022 |
|
| 23505 |
\begin{align*}
y^{\prime }&=t y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.025 |
|
| 23506 |
\begin{align*}
y^{\prime \prime }+9 y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (\frac {\pi }{6}\right ) &= -1 \\
\end{align*} |
✓ |
✗ |
✗ |
✗ |
10.025 |
|
| 23507 |
\begin{align*}
x y^{\prime }&=\left (y x +1\right ) y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.031 |
|
| 23508 |
\begin{align*}
x y^{\prime \prime }-y^{\prime }+4 x^{3} y&=0 \\
y \left (\sqrt {\pi }\right ) &= 3 \\
y^{\prime }\left (\sqrt {\pi }\right ) &= 4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.031 |
|
| 23509 |
\begin{align*}
{y^{\prime }}^{2}&=a \,x^{n} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.034 |
|
| 23510 |
\begin{align*}
2 x y^{\prime }-2 y&=\sqrt {x^{2}+4 y^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.036 |
|
| 23511 |
\begin{align*}
\left (y x +a \right ) y^{\prime }+b y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.039 |
|
| 23512 |
\begin{align*}
y^{\prime }&=-\frac {x}{y} \\
y \left (1\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.043 |
|
| 23513 |
\begin{align*}
\left (x^{3}-y^{5}\right ) y-x \left (x^{3}+y^{5}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
10.044 |
|
| 23514 |
\begin{align*}
\left (x +y\right ) y^{\prime }&=-x +y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.053 |
|
| 23515 |
\begin{align*}
8+2 y^{2}+\left (-x^{2}+1\right ) y y^{\prime }&=0 \\
y \left (3\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
10.054 |
|
| 23516 |
\begin{align*}
\left (1+u \right ) v+\left (1-v\right ) u v^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.058 |
|
| 23517 |
\begin{align*}
\ln \left (t \right ) y+\left (-3+t \right ) y^{\prime }&=2 t \\
y \left (1\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
10.059 |
|
| 23518 |
\begin{align*}
\frac {x \cos \left (\frac {x}{y}\right )}{y}+\sin \left (\frac {x}{y}\right )+\cos \left (x \right )-\frac {x^{2} \cos \left (\frac {x}{y}\right ) y^{\prime }}{y^{2}}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
10.060 |
|
| 23519 |
\begin{align*}
x^{2} y^{\prime \prime }+4 x y^{\prime }+2 y&={\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.061 |
|
| 23520 |
\begin{align*}
a y-2 x^{2} \tan \left (x \right ) y^{\prime }+x^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
10.079 |
|
| 23521 |
\begin{align*}
y^{\prime }&=\frac {y}{x}+\frac {x^{2}}{y^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.084 |
|
| 23522 |
\begin{align*}
y^{\prime }+y x&=x y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.085 |
|
| 23523 |
\begin{align*}
y y^{\prime }&=3 x \\
y \left (-2\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.086 |
|
| 23524 |
\begin{align*}
r^{\prime }&=\frac {\sin \left (t \right )+{\mathrm e}^{r} \sin \left (t \right )}{3 \,{\mathrm e}^{r}+{\mathrm e}^{r} \cos \left (2 t \right )} \\
r \left (\frac {\pi }{2}\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.088 |
|
| 23525 |
\begin{align*}
\left (x +y+1\right ) y^{\prime }&=x +y+2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.096 |
|
| 23526 |
\begin{align*}
y^{\prime }&=\frac {\left (1+x y^{2}\right )^{3}}{x^{4} \left (x y^{2}+1+x \right ) y} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
10.099 |
|
| 23527 |
\begin{align*}
u v-2 v+\left (-u^{2}+u \right ) v^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.099 |
|
| 23528 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+7 y&=\left \{\begin {array}{cc} t & 0\le t <2 \\ 0 & 2\le t \end {array}\right . \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✗ |
10.104 |
|
| 23529 |
\begin{align*}
x^{2} y^{\prime }&=3 \left (x^{2}+y^{2}\right ) \arctan \left (\frac {y}{x}\right )+y x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.105 |
|
| 23530 |
\begin{align*}
y^{\prime }&=t \left (3-y\right ) y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.116 |
|
| 23531 |
\begin{align*}
y^{\prime }+\left (a x +y\right ) y^{2}&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
10.120 |
|
| 23532 |
\begin{align*}
x y^{\prime }&=2 x -6 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.120 |
|
| 23533 |
\begin{align*}
x y^{\prime }&=2 x -y+a \,x^{n} \left (x -y\right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.126 |
|
| 23534 |
\begin{align*}
y^{\prime \prime }-x^{2} y-x^{3}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
10.127 |
|
| 23535 |
\begin{align*}
x^{\prime }&=4 t^{3} x^{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.135 |
|
| 23536 |
\begin{align*}
y y^{\prime \prime }-{y^{\prime }}^{2}-1-2 a y \left (1+{y^{\prime }}^{2}\right )^{{3}/{2}}&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
10.145 |
|
| 23537 |
\begin{align*}
x +y+\left (x +y-1\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.145 |
|
| 23538 |
\begin{align*}
x \cos \left (\frac {y}{x}\right )^{2}-y+x y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
10.148 |
|
| 23539 |
\begin{align*}
y^{\prime }&=\frac {1}{\sin \left (x \right )}+\textit {\_F1} \left (y-\ln \left (\sin \left (x \right )\right )+\ln \left (1+\cos \left (x \right )\right )\right ) \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
10.151 |
|
| 23540 |
\begin{align*}
x^{1+2 n} y^{\prime }-a y^{3}-b \,x^{3 n}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
10.158 |
|
| 23541 |
\begin{align*}
y^{\prime }&=2 y-2 x^{2}-3 \\
y \left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.158 |
|
| 23542 |
\begin{align*}
y^{\prime }&=\frac {x^{2} y+x^{4}+2 x^{3}-3 x^{2}+y x +x +y^{3}+3 x^{2} y^{2}-3 x y^{2}+3 x^{4} y-6 x^{3} y+x^{6}-3 x^{5}}{x \left (y+x^{2}-x +1\right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.162 |
|
| 23543 |
\begin{align*}
k \left (1+k \right ) y+\cot \left (x \right ) y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
10.168 |
|
| 23544 |
\begin{align*}
1+{\mathrm e}^{\frac {x}{y}}+{\mathrm e}^{\frac {x}{y}} \left (1-\frac {x}{y}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.171 |
|
| 23545 |
\begin{align*}
y^{\prime }&=\frac {x^{2}+y^{2}}{\sin \left (x \right )} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
10.178 |
|
| 23546 |
\begin{align*}
\left (a \ln \left (x \right )+b \right ) y^{\prime }&=y^{2}+c \ln \left (x \right )^{n} y-\lambda ^{2}+\lambda c \ln \left (x \right )^{n} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
10.179 |
|
| 23547 |
\begin{align*}
a \tan \left (\frac {x}{2}\right )^{2} y-\csc \left (x \right ) y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✗ |
✓ |
✗ |
10.184 |
|
| 23548 |
\begin{align*}
\sin \left (x \right ) y^{\prime \prime }+\left (3 \sin \left (x \right )^{2}-\cos \left (x \right )\right ) y^{\prime }+2 \sin \left (x \right )^{3} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
10.193 |
|
| 23549 |
\begin{align*}
y^{\prime }-\sqrt {\frac {a_{4} x^{4}+a_{3} x^{3}+a_{2} x^{2}+a_{1} x +a_{0}}{b_{4} y^{4}+b_{3} y^{3}+b_{2} y^{2}+b_{1} y+b_{0}}}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
10.199 |
|
| 23550 |
\begin{align*}
q^{\prime }&=\frac {p \,{\mathrm e}^{p^{2}-q^{2}}}{q} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.206 |
|
| 23551 |
\begin{align*}
\frac {\sin \left (\frac {x}{y}\right )}{y}-\frac {y \cos \left (\frac {y}{x}\right )}{x^{2}}+1+\left (\frac {\cos \left (\frac {y}{x}\right )}{x}-\frac {x \sin \left (\frac {x}{y}\right )}{y^{2}}+\frac {1}{y^{2}}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
10.207 |
|
| 23552 |
\begin{align*}
x^{2} y^{\prime } \cos \left (\frac {1}{x}\right )-y \sin \left (\frac {1}{x}\right )&=-1 \\
y \left (\infty \right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.211 |
|
| 23553 |
\begin{align*}
\left (10 x^{3} y^{2}+x^{2} y+2 x \right ) y^{\prime }+5 x^{2} y^{3}+x y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.212 |
|
| 23554 |
\begin{align*}
2 x y y^{\prime }&=x^{2}-y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.213 |
|
| 23555 |
\begin{align*}
\left (x \sin \left (y x \right )+\cos \left (x +y\right )-\sin \left (y\right )\right ) y^{\prime }+y \sin \left (y x \right )+\cos \left (x +y\right )+\cos \left (x \right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
10.215 |
|
| 23556 |
\begin{align*}
y^{\prime }&=\frac {y-3 x}{x +3 y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.222 |
|
| 23557 |
\begin{align*}
y^{3} \sec \left (x \right )^{2}-\left (1-2 \tan \left (x \right ) y^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
10.227 |
|
| 23558 |
\begin{align*}
y^{\prime }&=\frac {-2 \cos \left (y\right )+x^{3} \cos \left (2 y\right ) \ln \left (x \right )+x^{3} \ln \left (x \right )}{2 \sin \left (y\right ) \ln \left (x \right ) x} \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
10.228 |
|
| 23559 |
\begin{align*}
\left (x^{2}+y^{2}\right ) \left (y y^{\prime }+x \right )+\sqrt {1+x^{2}+y^{2}}\, \left (-x y^{\prime }+y\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
10.235 |
|
| 23560 |
\begin{align*}
y^{\prime \prime }+a \,x^{n} y^{\prime }+b \,x^{n -1} y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
10.242 |
|
| 23561 |
\begin{align*}
\left (x -a \right ) \left (x -b \right ) y^{\prime }+k \left (x +y-a \right ) \left (x +y-b \right )+y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.246 |
|
| 23562 |
\begin{align*}
\left (x +a \right ) \left (x +b \right ) y^{\prime }&=y x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.252 |
|
| 23563 |
\begin{align*}
\left (a x y+b \,x^{n}\right ) y^{\prime }+\alpha y^{3}+\beta y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
10.255 |
|
| 23564 |
\begin{align*}
3 x y^{\prime }&=\left (2+x y^{3}\right ) y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.257 |
|
| 23565 |
\begin{align*}
y^{\prime \prime }&={\mathrm e}^{y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.258 |
|
| 23566 |
\begin{align*}
x^{\prime }&=\frac {t^{2}}{1-x^{2}} \\
x \left (1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.259 |
|
| 23567 |
\begin{align*}
y^{\prime }&=y^{2}+a x \cosh \left (b x \right )^{m} y+a \cosh \left (b x \right )^{m} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
10.261 |
|
| 23568 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+4 y&=\left \{\begin {array}{cc} t & 0\le t \le 3 \\ t +2 & 3<t \end {array}\right . \\
y \left (0\right ) &= -2 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✗ |
10.265 |
|
| 23569 |
\begin{align*}
\sqrt {y}\, y^{\prime \prime }&=a \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
10.267 |
|
| 23570 |
\begin{align*}
y^{\prime }&=3 y^{{2}/{3}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.281 |
|
| 23571 |
\begin{align*}
{y^{\prime }}^{2}&=\frac {y^{3}}{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.283 |
|
| 23572 |
\begin{align*}
\left (1+{\mathrm e}^{x}\right ) y^{\prime }+y \,{\mathrm e}^{x}&={\mathrm e}^{x} \\
y \left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.290 |
|
| 23573 |
\begin{align*}
y^{\prime }&=\frac {y \,{\mathrm e}^{-\frac {x^{2}}{2}} \left (2 y^{2}+2 y \,{\mathrm e}^{\frac {x^{2}}{4}}+2 \,{\mathrm e}^{\frac {x^{2}}{2}}+x \,{\mathrm e}^{\frac {x^{2}}{2}}\right )}{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
10.291 |
|
| 23574 |
\begin{align*}
\sin \left (y\right )+\left (x +y\right ) \cos \left (y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.295 |
|
| 23575 |
\begin{align*}
x^{2} y^{\prime }&=\left (x +a y\right ) y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.296 |
|
| 23576 |
\begin{align*}
x y^{\prime }&=\left (x +1\right ) y^{2} \\
y \left (1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.296 |
|
| 23577 |
\begin{align*}
\left (3+2 \sin \left (x \right )+\cos \left (x \right )\right ) y^{\prime }&=1+2 \sin \left (y\right )+\cos \left (y\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.300 |
|
| 23578 |
\begin{align*}
2 x y^{\prime }-y+\frac {x^{2}}{y^{2}}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.303 |
|
| 23579 |
\begin{align*}
3 \left (x^{2}-1\right ) y+\left (x^{3}+8 y-3 x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.303 |
|
| 23580 |
\begin{align*}
x y^{\prime \prime }+\left (a \,x^{n}+b \right ) y^{\prime }+\left (c \,x^{2 n -1}+d \,x^{n -1}\right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
10.309 |
|
| 23581 |
\begin{align*}
x +y+1-\left (2 x +2 y+1\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.309 |
|
| 23582 |
\begin{align*}
\frac {x y^{\prime }+y}{1-x^{2} y^{2}}+x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.314 |
|
| 23583 |
\begin{align*}
\left (-t^{2}+1\right ) y^{\prime }-y t&=5 t y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.315 |
|
| 23584 |
\begin{align*}
{y^{\prime }}^{2}-2 x y^{\prime }&=x^{2}-4 y \\
\end{align*} |
✓ |
✓ |
✗ |
✓ |
10.316 |
|
| 23585 |
\begin{align*}
y^{\prime }+3 a \left (2 x +y\right ) y^{2}&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
10.317 |
|
| 23586 |
\begin{align*}
m v^{\prime }&=-m g +k v^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.318 |
|
| 23587 |
\begin{align*}
{y^{\prime }}^{6}+f \left (x \right ) \left (y-a \right )^{5} \left (y-b \right )^{3}&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
10.320 |
|
| 23588 |
\begin{align*}
y^{\prime }&=y+x \,{\mathrm e}^{y} \\
y \left (0\right ) &= 0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
10.323 |
|
| 23589 |
\begin{align*}
2 x y^{2}-y+x y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.323 |
|
| 23590 |
\begin{align*}
x^{2} y^{\prime }&=\left (a x +y^{3} b \right ) y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.326 |
|
| 23591 |
\begin{align*}
y^{\prime }+\sqrt {y}&=3 x \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
10.328 |
|
| 23592 |
\begin{align*}
\left (x -y\right ) y^{\prime }&=x +y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.330 |
|
| 23593 |
\begin{align*}
x y^{\prime }&=y \cos \left (\frac {y}{x}\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.335 |
|
| 23594 |
\begin{align*}
y-3 x^{2}-\left (4 y-x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
10.337 |
|
| 23595 |
\begin{align*}
x +3 y^{2}+2 x y y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.341 |
|
| 23596 |
\begin{align*}
2 x +3 y+\left (3 x +2 y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.343 |
|
| 23597 |
\begin{align*}
y^{\prime }&=\frac {x -y-1}{x +y+3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.345 |
|
| 23598 |
\begin{align*}
3 x \left (x +2 y\right ) y^{\prime }+x^{3}+3 y \left (2 x +y\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
10.345 |
|
| 23599 |
\begin{align*}
y^{\prime }&=\frac {\sqrt {1-y^{2}}\, \arcsin \left (y\right )}{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.345 |
|
| 23600 |
\begin{align*}
x^{2} y^{\prime }+y^{2}&=x^{2} y y^{\prime }-x y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.346 |
|