| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 27501 |
\begin{align*}
y^{3} y^{\prime }+y^{\prime \prime }&=y y^{\prime } \sqrt {y^{4}+4 y^{\prime }} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
239.244 |
|
| 27502 |
\begin{align*}
y y^{\prime }&=\left (\left (3-m \right ) x -1\right ) y-\left (m -1\right ) a x \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
239.288 |
|
| 27503 |
\begin{align*}
y y^{\prime \prime }&=\operatorname {a2} y^{2}+\operatorname {a3} y^{1+a}+\operatorname {a1} y y^{\prime }+a {y^{\prime }}^{2} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
239.460 |
|
| 27504 |
\begin{align*}
v^{\prime \prime }&=\left (\frac {1}{v}+{v^{\prime }}^{4}\right )^{{1}/{3}} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
239.754 |
|
| 27505 |
\begin{align*}
5 y x -4 y^{2}-6 x^{2}+\left (y^{2}-2 y x +6 x^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
241.415 |
|
| 27506 |
\begin{align*}
2 \sqrt {x}\, y^{\prime }-y&=-\sin \left (\sqrt {x}\right )-\cos \left (\sqrt {x}\right ) \\
y \left (\infty \right ) &= y_{0} \\
\end{align*} |
✗ |
✓ |
✗ |
✓ |
241.758 |
|
| 27507 |
\begin{align*}
x^{\prime }&=-3 x+4 y+{\mathrm e}^{-t} \sin \left (2 t \right ) \\
y^{\prime }&=5 x+9 z+4 \,{\mathrm e}^{-t} \cos \left (2 t \right ) \\
z^{\prime }&=y+6 z-{\mathrm e}^{-t} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
241.984 |
|
| 27508 |
\begin{align*}
\left (A x y+B \,x^{2}+k x \right ) y^{\prime }&=A y^{2}+c x y+d \,x^{2}+\left (-A \beta +k \right ) y-c \beta x -k \beta \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
242.013 |
|
| 27509 |
\begin{align*}
y y^{\prime }-y&=-\frac {12 x}{49}+\frac {A \left (5 \sqrt {x}+262 A +\frac {65 A^{2}}{\sqrt {x}}\right )}{49} \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
242.517 |
|
| 27510 |
\begin{align*}
2 y^{\prime } x +y&=y^{2} \sqrt {x -y^{2} x^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
243.407 |
|
| 27511 |
\begin{align*}
y^{\prime }&=\frac {\left (3 x +y^{3}-1\right )^{2}}{y^{2}} \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
244.022 |
|
| 27512 |
\begin{align*}
x \left (\ln \left (y\right )-\ln \left (x \right )\right ) y^{\prime }&=y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
244.315 |
|
| 27513 |
\begin{align*}
3 x -5 y+\left (x +y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
244.321 |
|
| 27514 |
\begin{align*}
y y^{\prime \prime }-{y^{\prime }}^{2}-1-2 a y \left (1+{y^{\prime }}^{2}\right )^{{3}/{2}}&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
244.749 |
|
| 27515 |
\begin{align*}
y y^{\prime }-y&=-\frac {12 x}{49}+\frac {2 A \left (\sqrt {x}+166 A +\frac {55 A^{2}}{\sqrt {x}}\right )}{49} \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
245.751 |
|
| 27516 |
\begin{align*}
{y^{\prime \prime }}^{2}&={y^{\prime }}^{2} \left (1+{y^{\prime }}^{2}\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
246.151 |
|
| 27517 |
\begin{align*}
y^{2}+\left (3 y x -1\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
246.556 |
|
| 27518 |
\begin{align*}
\sin \left (x +y\right )-y y^{\prime }&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
246.785 |
|
| 27519 |
\begin{align*}
4 x^{2}-y x +y^{2}+y^{\prime } \left (x^{2}-y x +4 y^{2}\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
247.782 |
|
| 27520 |
\begin{align*}
x_{1}^{\prime }&=2 x_{1}+2 x_{2}+x_{3} \\
x_{2}^{\prime }&=6 x_{1}-x_{2} \\
x_{3}^{\prime }&=-x_{1}-2 x_{2}-x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
249.535 |
|
| 27521 |
\begin{align*}
\left (x^{2}+y^{2}\right ) y^{\prime }&=2 y x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
250.362 |
|
| 27522 |
\begin{align*}
x^{2} \left (a x +b \right ) y^{\prime \prime }+\left (c \,x^{2}+\left (a \lambda +2 b \right ) x +b \lambda \right ) y^{\prime }+\lambda \left (c -2 a \right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
251.337 |
|
| 27523 |
\begin{align*}
y^{\prime }&=\frac {y}{\left (\ln \left (x \right )-\ln \left (y\right )\right ) x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
251.501 |
|
| 27524 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+y+y^{3}&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
252.049 |
|
| 27525 |
\begin{align*}
x \left (\left (x^{2}+y^{2}\right )^{{3}/{2}}+2 y^{2}\right )+y \left (\left (x^{2}+y^{2}\right )^{{3}/{2}}-2 x^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
252.559 |
|
| 27526 |
\begin{align*}
x y {y^{\prime }}^{2}+\left (a +x^{2}-y^{2}\right ) y^{\prime }-y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
252.651 |
|
| 27527 |
\begin{align*}
\left (a \,x^{2}+b x +c \right ) y^{\prime \prime }-\left (-k^{2}+x^{2}\right ) y^{\prime }+\left (k +x \right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
253.360 |
|
| 27528 |
\begin{align*}
y^{\prime }&=\frac {y-3}{x +y-1} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
253.767 |
|
| 27529 |
\begin{align*}
y^{2}-x \left (2 x +3 y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
254.129 |
|
| 27530 |
\begin{align*}
2 x -y+1+\left (x -2 y-1\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
255.710 |
|
| 27531 |
\begin{align*}
y y^{\prime }&=x^{n -1} \left (\left (2 n +1\right ) x +a n \right ) y-n \,x^{2 n} \left (a +x \right ) \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
256.303 |
|
| 27532 |
\begin{align*}
x \left (1-x \ln \left (x \right )\right ) y^{\prime \prime }+\left (1+\ln \left (x \right ) x^{2}\right ) y^{\prime }-\left (x +1\right ) y&=\left (1-x \ln \left (x \right )\right )^{2} {\mathrm e}^{x} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
256.622 |
|
| 27533 |
\begin{align*}
y^{2} \left (-y^{\prime } x +y\right )&=x^{3} y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
256.652 |
|
| 27534 |
\begin{align*}
{y^{\prime }}^{4}-4 x^{2} y {y^{\prime }}^{2}+16 y^{2} y^{\prime } x -16 y^{3}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
257.557 |
|
| 27535 |
\begin{align*}
x -4 y-3-\left (x -6 y-5\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
258.007 |
|
| 27536 |
\begin{align*}
{x^{\prime }}^{2}+t x&=\sqrt {1+t} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
258.017 |
|
| 27537 |
\begin{align*}
y y^{\prime }-\frac {a \left (x +1\right ) y}{2 x^{{7}/{4}}}&=\frac {a^{2} \left (-1+x \right ) \left (3 x +5\right )}{4 x^{{5}/{2}}} \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
258.118 |
|
| 27538 |
\begin{align*}
\left (\operatorname {b1} \,x^{2}+\operatorname {b0} \right ) y+\left (\operatorname {a2} \,x^{2}+\operatorname {a1} x +\operatorname {a0} \right ) y^{\prime }+4 \left (1-x \right ) x \left (-a x +1\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
258.122 |
|
| 27539 |
\begin{align*}
x^{\prime \prime }-x^{\prime }+x-x^{2}&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
258.214 |
|
| 27540 |
\begin{align*}
y y^{\prime }&={\mathrm e}^{a x} \left (2 a \,x^{2}+b +2 x \right ) y+{\mathrm e}^{2 a x} \left (-a \,x^{4}-b \,x^{2}+c \right ) \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
258.804 |
|
| 27541 |
\begin{align*}
\left (a \,x^{3}+x^{2}+b \right ) y^{\prime \prime }+a^{2} x \left (x^{2}-b \right ) y^{\prime }-a^{3} b x y&=0 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
259.320 |
|
| 27542 |
\begin{align*}
16 x +15 y+\left (3 x +y\right ) y^{\prime }&=0 \\
y \left (1\right ) &= -3 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
260.835 |
|
| 27543 |
\begin{align*}
\left (a \,x^{3}+b \,x^{2}+c x \right ) y^{\prime \prime }+\left (\alpha \,x^{2}+\beta x +2 c \right ) y^{\prime }-\left (x \alpha +2 b -\beta \right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
261.685 |
|
| 27544 |
\begin{align*}
\left (x -y\right ) \left (4 x +y\right )+x \left (5 x -y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
262.205 |
|
| 27545 |
\begin{align*}
4 x y^{3}-9 y^{2}+4 x y^{2}+\left (3 y^{2} x^{2}-6 y x +2 x^{2} y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
262.773 |
|
| 27546 |
\begin{align*}
2 x^{3} y+\left (2 y^{2} x^{2}+2 y^{4}+\ln \left (y\right )\right ) y^{\prime }&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
263.238 |
|
| 27547 |
\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*} |
✓ |
✗ |
✓ |
✗ |
263.700 |
|
| 27548 |
\begin{align*}
x^{2} y^{\prime }+y^{2}&=y y^{\prime } x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
263.822 |
|
| 27549 |
\begin{align*}
y^{\prime } x -\sin \left (x -y\right )&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
265.181 |
|
| 27550 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+y^{2}&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
265.252 |
|
| 27551 |
\begin{align*}
\left (x^{2}+1\right ) \ln \left (x^{2}+1\right ) y^{\prime }-2 y x&=\ln \left (x^{2}+1\right )-2 x \arctan \left (x \right ) \\
y \left (-\infty \right ) &= -\frac {\pi }{2} \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
265.334 |
|
| 27552 |
\begin{align*}
y^{\prime }&=\frac {x -y+5}{2 x -y-3} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
266.353 |
|
| 27553 |
\begin{align*}
x^{\prime }&=x-y+2 z+{\mathrm e}^{-t}-3 t \\
y^{\prime }&=3 x-4 y+z+2 \,{\mathrm e}^{-t}+t \\
z^{\prime }&=-2 x+5 y+6 z+2 \,{\mathrm e}^{-t}-t \\
\end{align*} |
✓ |
✗ |
✓ |
✗ |
266.773 |
|
| 27554 |
\begin{align*}
3 y+2 y^{\prime } x +4 x y^{2}+3 x^{2} y y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
267.508 |
|
| 27555 |
\begin{align*}
2 y^{2}+4 x^{2} y+\left (4 y x +3 x^{3}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
267.509 |
|
| 27556 |
\begin{align*}
x^{\prime \prime }+{\mathrm e}^{-x^{\prime }}-x&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
268.386 |
|
| 27557 |
\begin{align*}
y y^{\prime }&=a x \cos \left (\lambda \,x^{2}\right ) y+x \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
268.474 |
|
| 27558 |
\begin{align*}
y^{\prime }&=\frac {y+2}{x +y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
268.586 |
|
| 27559 |
\begin{align*}
y^{\prime \prime }&=-\frac {\left (\left (1-4 a \right ) x^{2}-1\right ) y^{\prime }}{x \left (x^{2}-1\right )}-\frac {\left (\left (-v^{2}+x^{2}\right ) \left (x^{2}-1\right )^{2}+4 a \left (1+a \right ) x^{4}-2 a \,x^{2} \left (x^{2}-1\right )\right ) y}{x^{2} \left (x^{2}-1\right )^{2}} \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
268.921 |
|
| 27560 |
\begin{align*}
y^{\prime }&=3 x y^{{1}/{3}} \\
y \left (-1\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
269.750 |
|
| 27561 |
\begin{align*}
x -y+3+\left (3 x +y+1\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
270.552 |
|
| 27562 |
\begin{align*}
y^{\prime \prime }+y y^{\prime }-y^{3}+a y&=0 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
271.012 |
|
| 27563 |
\begin{align*}
y^{2}+\left (y x +x^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
271.408 |
|
| 27564 |
\begin{align*}
y y^{\prime }&=\left (a \,{\mathrm e}^{\lambda x}+b \right ) y+c \left (a^{2} {\mathrm e}^{2 \lambda x}+a b \left (\lambda x +1\right ) {\mathrm e}^{\lambda x}+b^{2} \lambda x \right ) \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
271.728 |
|
| 27565 |
\begin{align*}
y y^{\prime } x&=a y^{2}+b y+c \,x^{n}+s \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
272.214 |
|
| 27566 |
\begin{align*}
{y^{\prime }}^{2}-2 y y^{\prime }&=y^{2} \left ({\mathrm e}^{x}-1\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
273.059 |
|
| 27567 |
\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*} |
✓ |
✗ |
✓ |
✗ |
273.195 |
|
| 27568 |
\begin{align*}
y^{\prime }&=\frac {x +y-1}{x +4 y+2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
274.006 |
|
| 27569 |
\begin{align*}
y^{\prime }&=\sqrt {25-y^{2}} \\
y \left (-4\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
274.286 |
|
| 27570 |
\begin{align*}
y^{\prime \prime }-y&=1 \\
y \left (\infty \right ) &= y_{0} \\
\end{align*} |
✗ |
✓ |
✗ |
✓ |
274.464 |
|
| 27571 |
\begin{align*}
y y^{\prime }-\frac {3 a y}{x^{{7}/{4}}}&=\frac {a^{2} \left (-1+x \right ) \left (x -9\right )}{4 x^{{5}/{2}}} \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
274.557 |
|
| 27572 |
\begin{align*}
y^{\prime }&=\frac {\left (x +1\right )^{2}-2 y}{2 y} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
275.089 |
|
| 27573 |
\begin{align*}
x^{3}-3 x y^{2}+\left (y^{3}-3 x^{2} y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
275.585 |
|
| 27574 |
\begin{align*}
y^{\prime }&=t^{m} y^{n} \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
275.803 |
|
| 27575 |
\begin{align*}
y^{\prime }&=\frac {c t -a y}{A t +b y} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
276.683 |
|
| 27576 |
\begin{align*}
y^{\prime }&=1+x +x^{2} \cos \left (x \right )-\left (1+4 \cos \left (x \right ) x \right ) y+2 y^{2} \cos \left (x \right ) \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
276.846 |
|
| 27577 |
\begin{align*}
y^{\prime }&=3 x y^{{1}/{3}} \\
y \left (-1\right ) &= {\frac {1}{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
277.006 |
|
| 27578 |
\begin{align*}
\frac {1}{x}&=\left (\frac {1}{y}-2 x \right ) y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
277.040 |
|
| 27579 |
\begin{align*}
y^{\prime } t&=y+\sqrt {t^{2}-y^{2}} \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
277.501 |
|
| 27580 |
\begin{align*}
y^{\prime } x +y&=4 \sqrt {y^{\prime }} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
277.552 |
|
| 27581 |
\begin{align*}
\frac {x}{\sqrt {\left (x^{2}+y^{2}\right ) \left (1-x^{2}-y^{2}\right )}}+\frac {y y^{\prime }}{\sqrt {\left (x^{2}+y^{2}\right ) \left (1-x^{2}-y^{2}\right )}}+\left (\frac {1}{y \sqrt {y^{2}-x^{2}}}+\frac {{\mathrm e}^{\frac {x}{y}}}{y^{2}}\right ) y-x \left (\frac {1}{y \sqrt {y^{2}-x^{2}}}+\frac {{\mathrm e}^{\frac {x}{y}}}{y^{2}}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
278.223 |
|
| 27582 |
\begin{align*}
6 y^{2}-x \left (2 x^{3}+y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
279.332 |
|
| 27583 |
\begin{align*}
y \left (x +y^{2}\right )+x^{2} \left (-1+y\right ) y^{\prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
280.107 |
|
| 27584 |
\begin{align*}
a t +b y-\left (c t +d y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
280.133 |
|
| 27585 |
\begin{align*}
4 x^{2}+y x -3 y^{2}+y^{\prime } \left (-5 x^{2}+2 y x +y^{2}\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
281.368 |
|
| 27586 |
\begin{align*}
y^{\prime } x&=\sin \left (x -y\right ) \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
283.430 |
|
| 27587 |
\begin{align*}
y y^{\prime }&=4 x +3 y-2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
285.496 |
|
| 27588 |
\begin{align*}
y^{\prime }&=x y^{2}+1 \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
285.706 |
|
| 27589 |
\begin{align*}
\left (x -y^{\prime }-y\right )^{2}&=x^{2} \left (2 y x -x^{2} y^{\prime }\right ) \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
286.203 |
|
| 27590 |
\begin{align*}
\ln \left (x^{2}+1\right ) y^{\prime \prime }+\frac {4 x y^{\prime }}{x^{2}+1}+\frac {\left (-x^{2}+1\right ) y}{\left (x^{2}+1\right )^{2}}&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
286.692 |
|
| 27591 |
\begin{align*}
\left (2 \sqrt {y x}-x \right ) y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
286.885 |
|
| 27592 |
\begin{align*}
y^{\prime }&=x \sqrt {y} \\
y \left (2\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
287.003 |
|
| 27593 |
\begin{align*}
a \,x^{2}+2 b x y+c y^{2}+y^{\prime } \left (b \,x^{2}+2 c x y+f y^{2}\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
289.253 |
|
| 27594 |
\begin{align*}
x y {y^{\prime }}^{2}-\left (x^{2}+y^{2}-1\right ) y^{\prime }+y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
289.888 |
|
| 27595 |
\begin{align*}
y^{3} y^{\prime }+3 x y^{2}+2 x^{3}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
290.239 |
|
| 27596 |
\begin{align*}
y y^{\prime }-y&=A \left (n +2\right ) \left (\sqrt {x}+2 \left (n +2\right ) A +\frac {\left (n +1\right ) \left (n +3\right ) A^{2}}{\sqrt {x}}\right ) \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
292.074 |
|
| 27597 |
\begin{align*}
\left (3 y x +x +y\right ) y+\left (4 y x +x +2 y\right ) x y^{\prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
292.425 |
|
| 27598 |
\begin{align*}
\frac {2 y y^{\prime } x}{3}&=\sqrt {x^{6}-y^{4}}+y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
293.241 |
|
| 27599 |
\begin{align*}
a_{1} x +k y+c_{1} +\left (k x +b_{2} y+c_{2} \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
293.402 |
|
| 27600 |
\begin{align*}
3 y-7 x +7+\left (7 y-3 x +3\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
294.976 |
|