| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 27401 |
\begin{align*}
y y^{\prime }-y&=A \,x^{2}-\frac {9}{625 A} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
115.965 |
|
| 27402 |
\begin{align*}
y^{\prime \prime }&=-\frac {\left (5 x^{2}+27\right ) y}{36 \left (x^{2}-1\right )^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
116.088 |
|
| 27403 |
\begin{align*}
\left (y^{2}+2 x^{2} y^{\prime }\right ) y^{\prime \prime }+2 \left (x +y\right ) {y^{\prime }}^{2}+y^{\prime } x +y&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
116.104 |
|
| 27404 |
\begin{align*}
y y^{\prime }-y&=\frac {\left (2 m +1\right ) x}{4 m^{2}}+\frac {A}{x}-\frac {A^{2}}{x^{3}} \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
116.457 |
|
| 27405 |
\begin{align*}
y \left (3 x^{2}+y\right )-x \left (x^{2}-y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
116.655 |
|
| 27406 |
\begin{align*}
y^{2}+\left (y x +x^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
117.299 |
|
| 27407 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime \prime }-2 y^{\prime } x +\alpha \left (\alpha +1\right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
117.312 |
|
| 27408 |
\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*} |
✗ |
✗ |
✗ |
✗ |
117.408 |
|
| 27409 |
\begin{align*}
a x \sqrt {1+{y^{\prime }}^{2}}+y^{\prime } x -y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
117.474 |
|
| 27410 |
\begin{align*}
4 x {y^{\prime }}^{2}+4 y y^{\prime }&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
117.497 |
|
| 27411 |
\begin{align*}
x \left (2 x^{3}-y^{3}\right ) y^{\prime }&=\left (x^{3}-2 y^{3}\right ) y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
117.586 |
|
| 27412 |
\begin{align*}
y^{2} y^{\prime }+\tan \left (x \right ) y&=\sin \left (x \right )^{3} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
117.594 |
|
| 27413 |
\begin{align*}
x {y^{\prime }}^{2}+y y^{\prime }+x^{3}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
118.290 |
|
| 27414 |
\begin{align*}
y^{\prime }&=\frac {3 x^{4}+3 x^{3}+\sqrt {9 x^{4}-4 y^{3}}}{\left (x +1\right ) y^{2}} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
118.371 |
|
| 27415 |
\begin{align*}
y^{\prime }&=\frac {y \left (1+\frac {a^{2} x}{\sqrt {a^{2} \left (x^{2}+1\right )}}\right )}{\sqrt {a^{2} \left (x^{2}+1\right )}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
118.432 |
|
| 27416 |
\begin{align*}
y y^{\prime }-y&=-\frac {6}{25} x -A \,x^{2} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
118.737 |
|
| 27417 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime \prime }+\left (2 a -3\right ) x y^{\prime }+\left (n +1\right ) \left (n +2 a -1\right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
118.751 |
|
| 27418 |
\begin{align*}
y^{\prime }&=\lambda \operatorname {arccot}\left (x \right )^{n} \left (y-a \,x^{m}-b \right )^{2}+a m \,x^{m -1} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
118.924 |
|
| 27419 |
\begin{align*}
x \left (x -2 y\right ) {y^{\prime }}^{2}-2 y y^{\prime } x -2 y x +y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
119.327 |
|
| 27420 |
\begin{align*}
x_{1}^{\prime }&=-3 x_{1}+4 x_{2}-2 x_{3}+{\mathrm e}^{t} \\
x_{2}^{\prime }&=x_{1}+x_{2} \\
x_{3}^{\prime }&=6 x_{1}-6 x_{2}+5 x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
119.389 |
|
| 27421 |
\begin{align*}
{y^{\prime \prime }}^{2}-2 y^{\prime } y^{\prime \prime }+3&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
119.448 |
|
| 27422 |
\begin{align*}
\left (x^{2}+1\right )^{2} y^{\prime \prime }+2 x \left (x^{2}+1\right ) y^{\prime }+\left (\left (x^{2}+1\right ) \left (a^{2} x^{2}-\lambda \right )+m^{2}\right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
119.592 |
|
| 27423 |
\begin{align*}
c y+b y^{\prime }+a {y^{\prime }}^{2}+y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
119.708 |
|
| 27424 |
\begin{align*}
\left (x^{2}-1\right ) y^{\prime \prime }-2 \left (n -1\right ) x y^{\prime }-\left (\nu -n +1\right ) \left (\nu +n \right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
119.771 |
|
| 27425 |
\begin{align*}
\left (2 x^{2}+1\right ) {y^{\prime }}^{2}+\left (y^{2}+2 y x +x^{2}+2\right ) y^{\prime }+2 y^{2}+1&=0 \\
\end{align*} |
✗ |
✗ |
✓ |
✗ |
120.121 |
|
| 27426 |
\begin{align*}
2 y+3 y^{\prime } x +2 x y \left (3 y+4 y^{\prime } x \right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
120.306 |
|
| 27427 |
\begin{align*}
\left (5 x -7 y+1\right ) y^{\prime }+x +y-1&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
120.428 |
|
| 27428 |
\begin{align*}
\left (1+{y^{\prime }}^{2}\right ) \left (x -y\right )^{2}&=\left (x +y y^{\prime }\right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
120.610 |
|
| 27429 |
\begin{align*}
{y^{\prime \prime }}^{2}-2 y^{\prime } y^{\prime \prime }+3&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
120.714 |
|
| 27430 |
\begin{align*}
x^{2} y^{\prime }&=y^{2} a^{2} x^{2}-y x +b^{2} \ln \left (x \right )^{n} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
121.103 |
|
| 27431 |
\begin{align*}
y^{\prime }&=a \cos \left (\lambda x +\mu \right )^{k} \left (y-b \,x^{n}-c \right )^{2}+b n \,x^{n -1} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
121.479 |
|
| 27432 |
\begin{align*}
\left (-y+y^{\prime } x \right ) \left (x +y y^{\prime }\right )&=h^{2} y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
121.947 |
|
| 27433 |
\begin{align*}
x^{2} y^{\prime } \cos \left (y\right )+1&=0 \\
y \left (\infty \right ) &= \frac {16 \pi }{3} \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
123.111 |
|
| 27434 |
\begin{align*}
x^{2} y^{\prime }&=a \,x^{2} y^{2}+b \,x^{n}+c \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
123.451 |
|
| 27435 |
\begin{align*}
\left (y^{2}+2 x^{2} y^{\prime }\right ) y^{\prime \prime }+2 \left (x +y\right ) {y^{\prime }}^{2}+y^{\prime } x +y&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
123.480 |
|
| 27436 |
\begin{align*}
x^{\prime \prime }-x^{\prime }+x-x^{2}&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
123.835 |
|
| 27437 |
\begin{align*}
\left (-y+y^{\prime } x \right ) \left (x -y y^{\prime }\right )&=2 y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
123.875 |
|
| 27438 |
\begin{align*}
y y^{\prime }+\frac {a \left (1-\frac {b}{x^{2}}\right ) y}{x}&=\frac {a^{2} b}{x} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
124.447 |
|
| 27439 |
\begin{align*}
\left (a^{2} \sqrt {x^{2}+y^{2}}-x^{2}\right ) {y^{\prime }}^{2}+2 y y^{\prime } x +a^{2} \sqrt {x^{2}+y^{2}}-y^{2}&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
124.823 |
|
| 27440 |
\begin{align*}
\left (x^{2}+y^{2}\right ) \left (1+y^{\prime }\right )^{2}-2 \left (x +y\right ) \left (1+y^{\prime }\right ) \left (x +y y^{\prime }\right )+\left (x +y y^{\prime }\right )^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
125.043 |
|
| 27441 |
\begin{align*}
2 y+3 y^{\prime } x +2 x y \left (3 y+4 y^{\prime } x \right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
125.132 |
|
| 27442 |
\begin{align*}
x^{\prime \prime }+{\mathrm e}^{-x^{\prime }}-x&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
127.523 |
|
| 27443 |
\begin{align*}
{r^{\prime \prime }}^{2}+r^{\prime \prime }+y r^{\prime }&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
127.533 |
|
| 27444 |
\begin{align*}
a x y {y^{\prime }}^{2}+\left (x^{2}-a y^{2}-b \right ) y^{\prime }-y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
127.659 |
|
| 27445 |
\begin{align*}
y^{\prime }&=y^{2} \left (1+y\right ) \left (y-4\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
128.517 |
|
| 27446 |
\begin{align*}
y^{\prime }&=f \left (x \right ) y^{2}-a \cot \left (\lambda x \right )^{2} \left (a f \left (x \right )-\lambda \right )+a \lambda \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
129.507 |
|
| 27447 |
\begin{align*}
y+\left (3 x -2 y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
129.655 |
|
| 27448 |
\begin{align*}
x y {y^{\prime }}^{2}-\left (a -b \,x^{2}+y^{2}\right ) y^{\prime }-b x y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
129.685 |
|
| 27449 |
\begin{align*}
x_{1}^{\prime }&=2 x_{1}-5 x_{2}+\sin \left (t \right ) \\
x_{2}^{\prime }&=x_{1}-2 x_{2}+\tan \left (t \right ) \\
\end{align*}
With initial conditions \begin{align*}
x_{1} \left (0\right ) &= -1 \\
x_{2} \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
129.733 |
|
| 27450 |
\begin{align*}
y y^{\prime }-y&=\frac {6}{25} x -A \,x^{2} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
129.924 |
|
| 27451 |
\begin{align*}
y y^{\prime }-y&=A x +B \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
130.455 |
|
| 27452 |
\begin{align*}
y^{\prime }&=a \sin \left (\lambda x +\mu \right )^{k} \left (y-b \,x^{n}-c \right )^{2}+b n \,x^{n -1} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
130.616 |
|
| 27453 |
\begin{align*}
2 y y^{\prime \prime }-{y^{\prime }}^{2}-8 y^{3}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
130.977 |
|
| 27454 |
\begin{align*}
\left (a \coth \left (\lambda x \right )+b \right ) y^{\prime }&=y^{2}+c \coth \left (\mu x \right ) y-d^{2}+c d \coth \left (\mu x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
131.139 |
|
| 27455 |
\begin{align*}
3 y-7 x +7+\left (7 y-3 x +3\right ) y^{\prime }&=0 \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
131.619 |
|
| 27456 |
\begin{align*}
y^{\prime }-\frac {y}{t}&=t^{2} y^{{3}/{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
131.875 |
|
| 27457 |
\begin{align*}
x^{2}+y \left (x -y\right )^{2} \tan \left (\frac {y}{x}\right )-\left (x^{2}+x \left (x -y\right )^{2} \tan \left (\frac {y}{x}\right )\right ) y^{\prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
132.289 |
|
| 27458 |
\begin{align*}
\left (r^{2}+r \right ) R^{\prime \prime }+r R^{\prime }-n \left (n +1\right ) R&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
132.403 |
|
| 27459 |
\begin{align*}
2 y^{3}+\left (4 x^{3} y^{3}-3 x y^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
132.629 |
|
| 27460 |
\begin{align*}
y y^{\prime }&=\frac {y}{\sqrt {a x +b}}+1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
133.141 |
|
| 27461 |
\begin{align*}
x y {y^{\prime }}^{2}+\left (x^{2}+y^{2}-h^{2}\right ) y^{\prime }-y x&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
133.563 |
|
| 27462 |
\begin{align*}
y^{\prime } x&=2 y+\sqrt {1+{y^{\prime }}^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
133.638 |
|
| 27463 |
\begin{align*}
\left (1-3 x +y\right ) y^{\prime }&=2 x -2 y \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
133.816 |
|
| 27464 |
\begin{align*}
y^{\prime } x&=a \sin \left (\lambda x \right )^{m} y^{2}+k y+a \,b^{2} x^{2 k} \sin \left (\lambda x \right )^{m} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
133.866 |
|
| 27465 |
\begin{align*}
y^{\prime \prime }&=-\frac {2 x y^{\prime }}{x^{2}+1}-\frac {\left (a^{2} \left (x^{2}+1\right )^{2}-n \left (n +1\right ) \left (x^{2}+1\right )+m^{2}\right ) y}{\left (x^{2}+1\right )^{2}} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
133.902 |
|
| 27466 |
\begin{align*}
y^{\prime } x&=a \cos \left (\lambda x \right )^{m} y^{2}+k y+a \,b^{2} x^{2 k} \cos \left (\lambda x \right )^{m} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
134.494 |
|
| 27467 |
\begin{align*}
x \left (3+2 x^{2} y\right ) y^{\prime }+\left (4+3 x^{2} y\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
134.736 |
|
| 27468 |
\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*} |
✓ |
✓ |
✓ |
✗ |
135.496 |
|
| 27469 |
\begin{align*}
\left (a \,x^{2}+2 b x y+c y^{2}\right ) y^{\prime }+k \,x^{2}+2 a x y+b y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
135.526 |
|
| 27470 |
\begin{align*}
y y^{\prime }+a \left (2 b x +1\right ) {\mathrm e}^{b x} y&=-a^{2} b \,x^{2} {\mathrm e}^{2 b x} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
135.543 |
|
| 27471 |
\begin{align*}
\left (a x y-a k y+b x -b k \right ) y^{\prime }&=c y^{2}+d x y+\left (-d k +b \right ) y \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
135.834 |
|
| 27472 |
\begin{align*}
x \left (x^{2}+1\right ) y^{\prime \prime }+\left (2 x^{2}+1\right ) y^{\prime }-v \left (v +1\right ) x y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
136.383 |
|
| 27473 |
\begin{align*}
\left (-x^{2}+2 y x \right ) {y^{\prime }}^{2}-6 y y^{\prime } x -y^{2}+2 y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
136.571 |
|
| 27474 |
\begin{align*}
\left (x^{2}-1\right ) y^{\prime \prime }+\left (a x +b \right ) y^{\prime }+c y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
136.978 |
|
| 27475 |
\begin{align*}
y y^{\prime }&=\left (a \,{\mathrm e}^{x}+b \right ) y+c \,{\mathrm e}^{2 x}-a b \,{\mathrm e}^{x}-b^{2} \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
137.099 |
|
| 27476 |
\begin{align*}
y y^{\prime }-\frac {a \left (x \left (m -1\right )+1\right ) y}{x}&=\frac {a^{2} \left (x m +1\right ) \left (x -1\right )}{x} \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
137.219 |
|
| 27477 |
\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*} |
✗ |
✗ |
✗ |
✗ |
137.664 |
|
| 27478 |
\begin{align*}
4 x^{3} y+\left (x^{4}-y^{4}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
138.299 |
|
| 27479 |
\begin{align*}
x y {y^{\prime }}^{2}+\left (a +x^{2}-y^{2}\right ) y^{\prime }-y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
138.470 |
|
| 27480 |
\begin{align*}
x^{3} y^{\prime \prime }+\left (a \,x^{n}+b \right ) y^{\prime } x -\left (a \,x^{n}-a \,x^{n -1} b +b \right ) y&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
138.670 |
|
| 27481 |
\begin{align*}
y^{\prime \prime }+5 a y^{\prime }-6 y^{2}+6 a^{2} y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
138.983 |
|
| 27482 |
\begin{align*}
\left (x -y\right ) \left (4 x +y\right )+x \left (5 x -y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
139.168 |
|
| 27483 |
\begin{align*}
x \left (x^{2}-1\right ) y^{\prime \prime }+\left (a \,x^{2}+b \right ) y^{\prime }+c x y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
140.422 |
|
| 27484 |
\begin{align*}
\frac {2 y}{x}+\left (4 x^{2} y-3\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
141.036 |
|
| 27485 |
\begin{align*}
y^{4}+\left (t^{4}-t y^{3}\right ) y^{\prime }&=0 \\
y \left (1\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✗ |
✓ |
141.342 |
|
| 27486 |
\begin{align*}
x^{2} \left (x^{2}+a \right ) y^{\prime \prime }+\left (b \,x^{2}+c \right ) x y^{\prime }+d y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
141.715 |
|
| 27487 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime \prime }-2 y^{\prime } x +\nu \left (\nu +1\right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
141.829 |
|
| 27488 |
\begin{align*}
y \left (y^{3}-2 x^{3}\right ) y^{\prime }+\left (2 y^{3}-x^{3}\right ) x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
142.071 |
|
| 27489 |
\begin{align*}
y^{2}+\left (t^{2}+t y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
142.134 |
|
| 27490 |
\begin{align*}
t \left (t -4\right ) y^{\prime \prime }+3 y^{\prime } t +4 y&=2 \\
y \left (3\right ) &= 0 \\
y^{\prime }\left (3\right ) &= -1 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
142.413 |
|
| 27491 |
\begin{align*}
\left (1+y^{2}\right ) y^{\prime \prime }-2 y {y^{\prime }}^{2}-2 \left (1+y^{2}\right ) y^{\prime }&=y^{2} \left (1+y^{2}\right ) \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
142.660 |
|
| 27492 |
\begin{align*}
1+y x +y y^{\prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
142.749 |
|
| 27493 |
\begin{align*}
x \left (-x^{2}+1\right ) y^{\prime }+x^{2}+y^{2} \left (-x^{2}+1\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
142.762 |
|
| 27494 |
\begin{align*}
x^{3} \left (\ln \left (x \right )-1\right ) y^{\prime \prime }-x^{2} y^{\prime }+y x&=2 \ln \left (x \right ) \\
y \left (\infty \right ) &= 0 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
143.861 |
|
| 27495 |
\begin{align*}
\left (3 x -y-9\right ) y^{\prime }&=10-2 x +2 y \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
143.949 |
|
| 27496 |
\begin{align*}
\left (\operatorname {c2} \,x^{2}+\operatorname {b2} x +\operatorname {a2} \right ) y+\left (1-x \right ) x \left (\operatorname {b2} x +\operatorname {a1} \right ) y^{\prime }+\left (1-x \right )^{2} x^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
144.101 |
|
| 27497 |
\begin{align*}
y^{\prime }&={\mathrm e}^{-9 x^{2}} \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
144.495 |
|
| 27498 |
\begin{align*}
a x y {y^{\prime }}^{2}+\left (x^{2}-a y^{2}-b \right ) y^{\prime }-y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
145.513 |
|
| 27499 |
\begin{align*}
x^{3} y^{\prime \prime }+\left (a \,x^{3}+a b x -x^{2}+b \right ) y^{\prime }+a^{2} b x y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
145.832 |
|
| 27500 |
\begin{align*}
\left (x^{2}-1\right ) y^{\prime \prime }+\left (2 a +1\right ) y^{\prime }-b \left (2 a +b \right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
146.365 |
|