| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 26401 |
\begin{align*}
2 x y^{3}+\cos \left (x \right ) y+\left (3 x^{2} y^{2}+\sin \left (x \right )\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
39.875 |
|
| 26402 |
\begin{align*}
{\mathrm e}^{\frac {y}{x}} x -\sin \left (\frac {y}{x}\right ) y+x \sin \left (\frac {y}{x}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
39.883 |
|
| 26403 |
\begin{align*}
\left (x +\cos \left (x \right ) \sec \left (y\right )\right ) y^{\prime }+\tan \left (y\right )-y \sin \left (x \right ) \sec \left (y\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
39.959 |
|
| 26404 |
\begin{align*}
y^{\prime }&=\frac {x +y}{-x +y} \\
y \left (-2\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
39.967 |
|
| 26405 |
\begin{align*}
y \left (x^{2}+y^{2}\right )+x \left (3 x^{2}-5 y^{2}\right ) y^{\prime }&=0 \\
y \left (2\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
39.986 |
|
| 26406 |
\begin{align*}
\left (x +\frac {2}{y}\right ) y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
39.999 |
|
| 26407 |
\begin{align*}
x \left (x^{n}+1\right ) y^{\prime \prime }+\left (\left (a -b \right ) x^{n}+a -n \right ) y^{\prime }+b \left (1-a \right ) x^{n -1} y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
40.000 |
|
| 26408 |
\begin{align*}
x \left (y^{\prime }+\sqrt {1+{y^{\prime }}^{2}}\right )-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
40.004 |
|
| 26409 |
\begin{align*}
4 x -3 y+\left (-3 x +2 y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
40.005 |
|
| 26410 |
\begin{align*}
x^{2} y+\left (x^{2}-y^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
40.078 |
|
| 26411 |
\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*} |
✓ |
✓ |
✓ |
✓ |
40.085 |
|
| 26412 |
\begin{align*}
x^{\prime \prime }+t^{2} x^{\prime }&=0 \\
x \left (0\right ) &= 0 \\
x^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
40.150 |
|
| 26413 |
\begin{align*}
a \,x^{2} y^{\prime }&=x^{2}+a x y+b^{2} y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
40.164 |
|
| 26414 |
\begin{align*}
1+t -2 y+\left (4 t -3 y-6\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
40.165 |
|
| 26415 |
\begin{align*}
x \left (2 x^{2}+y^{2}\right )+y \left (x^{2}+2 y^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
40.166 |
|
| 26416 |
\begin{align*}
y \left (1+a^{2}-2 y^{2} a^{2}\right )+b \sqrt {\left (1-y^{2}\right ) \left (1-y^{2} a^{2}\right )}\, {y^{\prime }}^{2}+\left (1-y^{2}\right ) \left (1-y^{2} a^{2}\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✗ |
✓ |
✗ |
40.191 |
|
| 26417 |
\begin{align*}
2 \,{\mathrm e}^{\frac {x}{y}} y+\left (y-2 x \,{\mathrm e}^{\frac {x}{y}}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
40.250 |
|
| 26418 |
\begin{align*}
x^{\prime }&=\frac {x}{t}+\frac {x^{2}}{t^{3}} \\
x \left (2\right ) &= 4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
40.259 |
|
| 26419 |
\begin{align*}
x y^{\prime }&=x +\frac {y}{2} \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
40.325 |
|
| 26420 |
\begin{align*}
x y^{\prime }&=\lambda \operatorname {arccot}\left (x \right )^{n} y^{2}+k y+\lambda \,b^{2} x^{2 k} \operatorname {arccot}\left (x \right )^{n} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
40.376 |
|
| 26421 |
\begin{align*}
y^{\prime }&=\frac {2 x y \,{\mathrm e}^{\frac {2 x}{y}}}{y^{2}+y^{2} {\mathrm e}^{\frac {2 x}{y}}+2 x^{2} {\mathrm e}^{\frac {2 x}{y}}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
40.387 |
|
| 26422 |
\begin{align*}
\left (1+x +9 y\right ) y^{\prime }+1+x +5 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
40.445 |
|
| 26423 |
\begin{align*}
y^{\prime }&=\frac {y-x y^{2}}{x +x^{2} y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
40.450 |
|
| 26424 |
\begin{align*}
y^{\prime }&=y^{{1}/{3}} \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
40.462 |
|
| 26425 |
\begin{align*}
y^{\prime }&=\frac {2 x +y-1}{x -y-2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
40.511 |
|
| 26426 |
\begin{align*}
y^{\prime }&=\frac {3 x^{3}+\sqrt {-9 x^{4}+4 y^{3}}+x^{2} \sqrt {-9 x^{4}+4 y^{3}}+x^{3} \sqrt {-9 x^{4}+4 y^{3}}}{y^{2}} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
40.640 |
|
| 26427 |
\begin{align*}
y&=x y^{\prime }+x \sqrt {1+{y^{\prime }}^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
40.855 |
|
| 26428 |
\begin{align*}
L x^{\prime \prime }+g \sin \left (x\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
40.904 |
|
| 26429 |
\begin{align*}
x^{\prime }&=n y-m z \\
y^{\prime }&=L z-m x \\
z^{\prime }&=m x-L y \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
40.952 |
|
| 26430 |
\begin{align*}
4 x y^{2}+6 y+\left (5 x^{2} y+8 x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
41.040 |
|
| 26431 |
\begin{align*}
x y^{\prime }&=y-{\mathrm e}^{\frac {y}{x}} x \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
41.047 |
|
| 26432 |
\begin{align*}
2 y&=3 x y^{\prime }+4+2 \ln \left (y^{\prime }\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
41.124 |
|
| 26433 |
\begin{align*}
y^{\prime \prime }+\sin \left (x \right ) y^{\prime }+y \,{\mathrm e}^{x}&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
41.158 |
|
| 26434 |
\begin{align*}
\sin \left (2 x \right )^{n +1} y^{\prime }&=a y^{2} \sin \left (x \right )^{2 n}+b \cos \left (x \right )^{2 n} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
41.167 |
|
| 26435 |
\begin{align*}
y^{\prime }&=\frac {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 )-y \sin \left (\frac {y}{x}\right ) x -\sin \left (\frac {y}{x}\right ) y+2 \sin \left (\frac {y}{x}\right ) \cos \left (\frac {y}{2 x}\right ) \sin \left (\frac {y}{2 x}\right ) x}{2 \cos \left (\frac {y}{x}\right ) \sin \left (\frac {y}{2 x}\right ) x \cos \left (\frac {y}{2 x}\right ) \left (x +1\right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
41.267 |
|
| 26436 |
\begin{align*}
y^{\prime \prime }+p \left (x \right ) y^{\prime }+q \left (x \right ) y&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
41.287 |
|
| 26437 |
\begin{align*}
x^{2} y^{\prime }&=\left (\alpha \,x^{2 n}+\beta \,x^{n}+\gamma \right ) y^{2}+\left (a \,x^{n}+b \right ) x y+c \,x^{2} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
41.385 |
|
| 26438 |
\begin{align*}
y y^{\prime }-y&=A +B \,{\mathrm e}^{-\frac {2 x}{A}} \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
41.391 |
|
| 26439 |
\begin{align*}
3 x -y-\left (x +y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
41.424 |
|
| 26440 |
\begin{align*}
\left (x +y+1\right ) y^{\prime }+1+4 x +3 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
41.441 |
|
| 26441 |
\begin{align*}
y^{\prime }&=\left (y x \right )^{{1}/{3}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
41.475 |
|
| 26442 |
\begin{align*}
x^{2} y^{\prime \prime }-4 x y^{\prime }+6 y&=0 \\
y \left (0\right ) &= 0 \\
y \left (2\right ) &= 4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
41.508 |
|
| 26443 |
\begin{align*}
\left (x^{2}+y^{2}\right ) y^{\prime }&=2 y x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
41.555 |
|
| 26444 |
\begin{align*}
y^{\prime }&=\frac {2 y x +3 y}{x^{2}+2 y^{2}} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
41.565 |
|
| 26445 |
\begin{align*}
y^{\prime }&=\cos \left (\lambda x \right ) a y^{2}+b \cos \left (\lambda x \right ) \sin \left (\lambda x \right )^{n} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
41.582 |
|
| 26446 |
\begin{align*}
{y^{\prime }}^{2}+x y {y^{\prime }}^{2}&=\ln \left (x \right ) \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
41.583 |
|
| 26447 |
\begin{align*}
\left (x +2 y+1\right ) y^{\prime }+7+x -4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
41.601 |
|
| 26448 |
\begin{align*}
-\left (c \,x^{2}+b x +a \right ) y+x y^{\prime }+x^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
41.661 |
|
| 26449 |
\begin{align*}
2 x y \left (4-y^{2}\right )+\left (-1+y\right ) \left (x^{2}+2\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
41.665 |
|
| 26450 |
\begin{align*}
y^{\prime }&=y^{2}+a \tan \left (\beta x \right ) y+a b \tan \left (\beta x \right )-b^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
41.803 |
|
| 26451 |
\begin{align*}
y^{\prime }&=-\frac {t}{y} \\
y \left (0\right ) &= {\frac {1}{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
41.807 |
|
| 26452 |
\begin{align*}
{y^{\prime }}^{3}-x^{3} \left (1-y^{\prime }\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
41.871 |
|
| 26453 |
\begin{align*}
y^{\prime }&=\frac {2 y x -y^{4}}{3 x^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
41.917 |
|
| 26454 |
\begin{align*}
y x +2 \left (x^{2}+2 y^{2}\right ) y^{\prime }&=0 \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
42.006 |
|
| 26455 |
\begin{align*}
y^{\prime }&=\frac {y-2 x}{-x +2 y} \\
y \left (1\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
42.015 |
|
| 26456 |
\begin{align*}
t^{3} y^{\prime \prime }-2 t y^{\prime }+y&=t^{4} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
42.055 |
|
| 26457 |
\begin{align*}
\sin \left (y\right ) \left (x +\sin \left (y\right )\right )+2 x^{2} \cos \left (y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
42.103 |
|
| 26458 |
\begin{align*}
y^{\prime \prime }+9 y&=0 \\
y \left (0\right ) &= 0 \\
y \left (\pi \right ) &= 4 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
42.109 |
|
| 26459 |
\begin{align*}
y y^{\prime }-y&=A x +\frac {B}{x}-\frac {B^{2}}{x^{3}} \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
42.132 |
|
| 26460 |
\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*} |
✗ |
✓ |
✓ |
✗ |
42.146 |
|
| 26461 |
\begin{align*}
y^{\prime }&=3 x \left (-1+y\right )^{{1}/{3}} \\
y \left (0\right ) &= 9 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
42.148 |
|
| 26462 |
\begin{align*}
x +2 y-4-\left (-5+2 x +y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
42.184 |
|
| 26463 |
\begin{align*}
y y^{\prime }-y&=\frac {15 x}{4}+\frac {A}{x^{7}} \\
\end{align*} |
✓ |
✗ |
✗ |
✗ |
42.186 |
|
| 26464 |
\begin{align*}
x \left (x^{3}+3 x^{2} y+y^{3}\right ) y^{\prime }&=\left (3 x^{2}+y^{2}\right ) y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
42.197 |
|
| 26465 |
\begin{align*}
2 x +4 y+\left (2 x -2 y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
42.231 |
|
| 26466 |
\begin{align*}
y^{\prime \prime }&=-\frac {2 x y^{\prime }}{x^{2}-1}+\frac {v \left (v +1\right ) y}{x^{2}} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
42.332 |
|
| 26467 |
\begin{align*}
y^{\prime }&=b \,{\mathrm e}^{\mu x} y^{2}+a \lambda \,{\mathrm e}^{\lambda x}-a^{2} b \,{\mathrm e}^{\left (\mu +2 \lambda \right ) x} \\
\end{align*} |
✓ |
✗ |
✓ |
✗ |
42.379 |
|
| 26468 |
\begin{align*}
x \left (x^{2}-6 y^{2}\right ) y^{\prime }&=4 \left (x^{2}+3 y^{2}\right ) y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
42.397 |
|
| 26469 |
\begin{align*}
\left (-y x +1\right ) y^{\prime }&=y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
42.400 |
|
| 26470 |
\begin{align*}
x y^{2} \left (x y^{\prime }+3 y\right )-2 y+x y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
42.439 |
|
| 26471 |
\begin{align*}
y^{3}-2 x^{2} y+\left (2 x y^{2}-x^{3}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
42.540 |
|
| 26472 |
\begin{align*}
y&=x \left (x^{2} y-1\right ) y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
42.589 |
|
| 26473 |
\begin{align*}
x \left (2 x +y\right ) y^{\prime }&=x^{2}+y x -y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
42.600 |
|
| 26474 |
\begin{align*}
x -y \cos \left (\frac {y}{x}\right )+x y^{\prime } \cot \left (\frac {y}{x}\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
42.677 |
|
| 26475 |
\begin{align*}
2 y+3 x y^{2}+\left (x +2 x^{2} y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
42.765 |
|
| 26476 |
\begin{align*}
x^{\prime \prime }-\left (1-\frac {{x^{\prime }}^{2}}{3}\right ) x^{\prime }+x&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
42.875 |
|
| 26477 |
\begin{align*}
y y^{\prime \prime }+\sqrt {{y^{\prime }}^{2}+a^{2} {y^{\prime \prime }}^{2}}&={y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
42.957 |
|
| 26478 |
\begin{align*}
\left (x^{8}+1\right ) y^{\prime \prime }-16 x^{7} y^{\prime }+72 x^{6} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
42.967 |
|
| 26479 |
\begin{align*}
8 x +1&=y {y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
42.984 |
|
| 26480 |
\begin{align*}
x y^{\prime } \ln \left (x \right ) \sin \left (y\right )+\cos \left (y\right ) \left (1-x \cos \left (y\right )\right )&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
43.100 |
|
| 26481 |
\begin{align*}
y^{\prime }&=\frac {x -y+1}{x +y+1} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
43.102 |
|
| 26482 |
\begin{align*}
x y^{\prime }&=y+\sqrt {x^{2}-y^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
43.130 |
|
| 26483 |
\begin{align*}
{y^{\prime }}^{2}-2 x^{3} y^{2} y^{\prime }-4 x^{2} y^{3}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
43.134 |
|
| 26484 |
\begin{align*}
2 t x x^{\prime }+t^{2}-x^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
43.142 |
|
| 26485 |
\begin{align*}
y^{\prime \prime }+9 y&=0 \\
y \left (0\right ) &= 1 \\
y \left (\pi \right ) &= 2 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
43.242 |
|
| 26486 |
\begin{align*}
y^{\prime }&=3 x y^{{1}/{3}} \\
y \left (-1\right ) &= {\frac {3}{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
43.302 |
|
| 26487 |
\begin{align*}
y^{\prime }&=\frac {y}{-x +y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
43.339 |
|
| 26488 |
\begin{align*}
t^{2} x^{\prime \prime }+x^{\prime } t +\left (t^{2}-1\right ) x&=0 \\
x^{\prime }\left (0\right ) &= a \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
43.345 |
|
| 26489 |
\begin{align*}
x \cos \left (y\right )^{2}+\tan \left (y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
43.392 |
|
| 26490 |
\begin{align*}
y^{\prime }&=\frac {2 x -y}{x +3 y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
43.434 |
|
| 26491 |
\begin{align*}
x \left (x +2 y\right ) y^{\prime }+y \left (2 x -y\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
43.512 |
|
| 26492 |
\begin{align*}
x^{\prime \prime }+\sin \left (x\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
43.527 |
|
| 26493 |
\begin{align*}
\left (y^{3}-x \right ) y^{\prime }&=y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
43.544 |
|
| 26494 |
\begin{align*}
y^{\prime \prime }+9 y&=0 \\
y \left (0\right ) &= 1 \\
y \left (\pi \right ) &= B \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
43.544 |
|
| 26495 |
\begin{align*}
t^{2} y^{\prime \prime }-4 t y^{\prime }+6 y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= -1 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
43.649 |
|
| 26496 |
\begin{align*}
x \left (x -1\right ) y^{\prime \prime }+\left (2 x -1\right ) y^{\prime }-v \left (v +1\right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
43.701 |
|
| 26497 |
\begin{align*}
y^{\prime }&=\lambda \arctan \left (x \right )^{n} \left (y-a \,x^{m}-b \right )^{2}+a m \,x^{m -1} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
43.747 |
|
| 26498 |
\begin{align*}
y y^{\prime }&=\left (3 a x +b \right ) y-a^{2} x^{3}-a b \,x^{2}+c x \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
43.762 |
|
| 26499 |
\begin{align*}
y^{\prime }&=y \sqrt {y^{2}-1} \\
y \left (a \right ) &= b \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
43.796 |
|
| 26500 |
\begin{align*}
2 y x +\left (x^{2}+y^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
43.831 |
|