| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 27401 |
\begin{align*}
y y^{\prime }-\frac {a \left (3 x -4\right ) y}{4 x^{{5}/{2}}}&=\frac {a^{2} \left (x -1\right ) \left (x +2\right )}{4 x^{4}} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
113.210 |
|
| 27402 |
\begin{align*}
\left (b x +a \right ) y+2 \left (-3 x +1\right ) \left (1-x \right ) y^{\prime }+4 x \left (1-x \right ) y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
113.368 |
|
| 27403 |
\begin{align*}
3 x -5 y+\left (x +y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
113.406 |
|
| 27404 |
\begin{align*}
x \left (x^{3}-2 y^{3}\right ) y^{\prime }&=\left (2 x^{3}-y^{3}\right ) y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
113.617 |
|
| 27405 |
\begin{align*}
x \left (x -2 y\right ) {y^{\prime }}^{2}+6 x y y^{\prime }-2 y x +y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
113.648 |
|
| 27406 |
\begin{align*}
y^{\prime }&=\frac {2 x -7 y}{3 y-8 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
113.792 |
|
| 27407 |
\begin{align*}
n \left (n +1\right ) y-2 x y^{\prime }+\left (-x^{2}+1\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
113.899 |
|
| 27408 |
\begin{align*}
x \left (x -2 y\right ) {y^{\prime }}^{2}-2 x y y^{\prime }-2 y x +y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
113.907 |
|
| 27409 |
\begin{align*}
{y^{\prime }}^{2}+a x y^{\prime }+b \,x^{2}+c y&=0 \\
\end{align*} |
✓ |
✗ |
✓ |
✗ |
113.961 |
|
| 27410 |
\begin{align*}
y y^{\prime }-y&=-\frac {9 x}{100}+\frac {A}{x^{{5}/{3}}} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
114.122 |
|
| 27411 |
\begin{align*}
4 x y^{3}-9 y^{2}+4 x y^{2}+\left (3 x^{2} y^{2}-6 y x +2 x^{2} y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
114.151 |
|
| 27412 |
\begin{align*}
y y^{\prime }-\frac {a \left (x -8\right ) y}{8 x^{{5}/{2}}}&=-\frac {a^{2} \left (x -1\right ) \left (3 x -4\right )}{8 x^{4}} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
114.625 |
|
| 27413 |
\begin{align*}
y^{\prime \prime }&=a +4 y b^{2}+3 b y^{2}+3 y y^{\prime } \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
114.726 |
|
| 27414 |
\begin{align*}
\left (1+{y^{\prime }}^{2}+y y^{\prime \prime }\right )^{2}&=\left (1+{y^{\prime }}^{2}\right )^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
115.139 |
|
| 27415 |
\begin{align*}
y^{\prime }&=\frac {2 x y \,{\mathrm e}^{\frac {x^{2}}{y^{2}}}}{y^{2}+y^{2} {\mathrm e}^{\frac {x^{2}}{y^{2}}}+2 x^{2} {\mathrm e}^{\frac {x^{2}}{y^{2}}}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
115.187 |
|
| 27416 |
\begin{align*}
{y^{\prime }}^{2} x +2 y y^{\prime }-x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
115.454 |
|
| 27417 |
\begin{align*}
n \left (n +1\right ) y-2 x y^{\prime }+\left (-x^{2}+1\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
115.567 |
|
| 27418 |
\begin{align*}
c y+\left (b x +a \right ) y^{\prime }+x \left (1-x \right ) y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
116.095 |
|
| 27419 |
\begin{align*}
\left (y^{2}+2 x^{2} y^{\prime }\right ) y^{\prime \prime }+2 \left (x +y\right ) {y^{\prime }}^{2}+x y^{\prime }+y&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
116.104 |
|
| 27420 |
\begin{align*}
p \left (1+2 k +p \right ) y-2 \left (1+k \right ) x y^{\prime }+\left (-x^{2}+1\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
116.268 |
|
| 27421 |
\begin{align*}
n \left (n +1\right ) y-2 x y^{\prime }+\left (-x^{2}+1\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
116.660 |
|
| 27422 |
\begin{align*}
y^{\prime }&=\frac {2 x y \,{\mathrm e}^{\frac {x^{2}}{y^{2}}}}{y^{2}+y^{2} {\mathrm e}^{\frac {x^{2}}{y^{2}}}+2 x^{2} {\mathrm e}^{\frac {x^{2}}{y^{2}}}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
116.869 |
|
| 27423 |
\begin{align*}
y y^{\prime }&=a x \cos \left (\lambda \,x^{2}\right ) y+x \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
116.960 |
|
| 27424 |
\begin{align*}
\left (b_{2} y+a_{2} x +c_{2} \right ) {y^{\prime }}^{2}+\left (a_{1} x +b_{1} y+c_{1} \right ) y^{\prime }+a_{0} x +b_{0} y+c_{0}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
117.145 |
|
| 27425 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+\alpha \left (\alpha +1\right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
117.312 |
|
| 27426 |
\begin{align*}
y y^{\prime }-\frac {a \left (2 x -1\right ) y}{x^{{5}/{2}}}&=\frac {a^{2} \left (x -1\right ) \left (1+3 x \right )}{2 x^{4}} \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
117.318 |
|
| 27427 |
\begin{align*}
2 x^{3} y+\left (2 x^{2} y^{2}+2 y^{4}+\ln \left (y\right )\right ) y^{\prime }&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
117.408 |
|
| 27428 |
\begin{align*}
y y^{\prime }-y&=2 A \left (\sqrt {x}+4 A +\frac {3 A^{2}}{\sqrt {x}}\right ) \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
117.497 |
|
| 27429 |
\begin{align*}
y^{\prime }&=f \left (x \right ) y^{2}-a \,{\mathrm e}^{\lambda x} g \left (x \right ) y+a \lambda \,{\mathrm e}^{\lambda x}+a^{2} {\mathrm e}^{2 \lambda x} \left (g \left (x \right )-f \left (x \right )\right ) \\
\end{align*} |
✓ |
✗ |
✗ |
✗ |
117.582 |
|
| 27430 |
\begin{align*}
y^{2} y^{\prime }+y \tan \left (x \right )&=\sin \left (x \right )^{3} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
117.594 |
|
| 27431 |
\begin{align*}
y+x y^{2}-\left (x +2 x^{2} y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
117.840 |
|
| 27432 |
\begin{align*}
c y+\left (b x +a \right ) y^{\prime }+x \left (x +1\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
118.099 |
|
| 27433 |
\begin{align*}
\left (k^{2} x +b \right ) y+2 \left (a x +1\right ) y^{\prime }+4 x \left (1-x \right ) y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
118.318 |
|
| 27434 |
\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 |
|
| 27435 |
\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 |
|
| 27436 |
\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 |
|
| 27437 |
\begin{align*}
y^{2}+\left (-x^{3}+y x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
119.921 |
|
| 27438 |
\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 |
|
| 27439 |
\begin{align*}
y y^{\prime }+\frac {a \left (13 x -3\right ) y}{6 x^{{2}/{3}}}&=-\frac {a^{2} \left (x -1\right ) \left (5 x -1\right )}{6 x^{{1}/{3}}} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
120.849 |
|
| 27440 |
\begin{align*}
y^{\prime }&=\frac {2 x +y+1}{x +2 y+2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
121.046 |
|
| 27441 |
\begin{align*}
y^{\prime }&=\frac {-y x -1}{4 x^{3} y-2 x^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
121.228 |
|
| 27442 |
\begin{align*}
\left (x^{2}+y^{2}\right ) \left (y^{\prime }+1\right )^{2}-2 \left (x +y\right ) \left (y^{\prime }+1\right ) \left (y y^{\prime }+x \right )+\left (y y^{\prime }+x \right )^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
121.760 |
|
| 27443 |
\begin{align*}
2 y y^{\prime \prime }-{y^{\prime }}^{2}-8 y^{3}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
122.069 |
|
| 27444 |
\begin{align*}
y^{\prime }&=\frac {x^{4}+3 x^{2} y^{2}+y^{4}}{x^{3} y} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
122.089 |
|
| 27445 |
\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*} |
✓ |
✓ |
✓ |
✓ |
122.758 |
|
| 27446 |
\begin{align*}
x^{2} \cos \left (y\right ) y^{\prime }+1&=0 \\
y \left (\infty \right ) &= \frac {16 \pi }{3} \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
123.111 |
|
| 27447 |
\begin{align*}
x \left (4 x -y\right ) y^{\prime }+4 x^{2}-6 y x -y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
123.256 |
|
| 27448 |
\begin{align*}
b y+a x y^{\prime }+\left (-x^{2}+1\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
123.405 |
|
| 27449 |
\begin{align*}
\left (y^{2}+2 x^{2} y^{\prime }\right ) y^{\prime \prime }+2 \left (x +y\right ) {y^{\prime }}^{2}+x y^{\prime }+y&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
123.480 |
|
| 27450 |
\begin{align*}
y+x \ln \left (\frac {y}{x}\right ) y^{\prime }-2 x y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
123.645 |
|
| 27451 |
\begin{align*}
y&={y^{\prime }}^{4}-{y^{\prime }}^{3}-2 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
123.819 |
|
| 27452 |
\begin{align*}
x^{\prime \prime }-x^{\prime }+x-x^{2}&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
123.835 |
|
| 27453 |
\begin{align*}
y&=x y^{\prime }+x \sqrt {1+{y^{\prime }}^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
124.164 |
|
| 27454 |
\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*} |
✓ |
✓ |
✓ |
✗ |
124.392 |
|
| 27455 |
\begin{align*}
y^{\prime }&=x \left (y-4\right )^{2}-2 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
124.773 |
|
| 27456 |
\begin{align*}
x y y^{\prime }&=a y^{2}+b y+c \,x^{n}+s \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
125.014 |
|
| 27457 |
\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*} |
✗ |
✓ |
✓ |
✗ |
125.136 |
|
| 27458 |
\begin{align*}
y y^{\prime }-a \left (1+2 n +2 n \left (n +1\right ) x \right ) {\mathrm e}^{\left (n +1\right ) x} y&=-a^{2} n \left (n +1\right ) \left (n x +1\right ) x \,{\mathrm e}^{2 \left (n +1\right ) x} \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
125.184 |
|
| 27459 |
\begin{align*}
x \left (x +y\right ) y^{\prime }+y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
125.414 |
|
| 27460 |
\begin{align*}
b y+a x \left (-x^{2}+1\right ) y^{\prime }+\left (x^{2}+1\right )^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
125.546 |
|
| 27461 |
\begin{align*}
a \left (a +1\right ) y-2 x^{3} y^{\prime }+x^{2} \left (-x^{2}+1\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
125.729 |
|
| 27462 |
\begin{align*}
y^{\prime }&=y^{2} \left (y+1\right ) \left (y-4\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
126.154 |
|
| 27463 |
\begin{align*}
\frac {y y^{\prime }+x}{\sqrt {x^{2}+y^{2}}}&=m \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
127.216 |
|
| 27464 |
\begin{align*}
x^{\prime \prime }+{\mathrm e}^{-x^{\prime }}-x&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
127.523 |
|
| 27465 |
\begin{align*}
{r^{\prime \prime }}^{2}+r^{\prime \prime }+y r^{\prime }&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
127.533 |
|
| 27466 |
\begin{align*}
y^{\prime }&=3 x +\sqrt {y-x^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
127.893 |
|
| 27467 |
\begin{align*}
y^{\prime }&=\frac {y^{4}+2 x y^{3}-3 x^{2} y^{2}-2 x^{3} y}{2 x^{2} y^{2}-2 x^{3} y-2 x^{4}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
127.954 |
|
| 27468 |
\begin{align*}
y y^{\prime }-\frac {2 a \left (3 x -10\right ) y}{5 x^{4}}&=\frac {a^{2} \left (x -1\right ) \left (8 x -5\right )}{5 x^{7}} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
128.085 |
|
| 27469 |
\begin{align*}
y^{2}+\left (y x +x^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
129.173 |
|
| 27470 |
\begin{align*}
2 x -y+1+\left (x -2 y-1\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
129.203 |
|
| 27471 |
\begin{align*}
\operatorname {a2} y+\left (\operatorname {b1} x +\operatorname {a1} \right ) y^{\prime }+x \left (\operatorname {a0} +x \right ) y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
129.657 |
|
| 27472 |
\begin{align*}
4 x^{3} y+\left (x^{4}-y^{4}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
130.420 |
|
| 27473 |
\begin{align*}
y y^{\prime }-y&=\frac {k}{\sqrt {A \,x^{2}+B x +c}} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
130.661 |
|
| 27474 |
\begin{align*}
x \left (2 x^{3}-y^{3}\right ) y^{\prime }&=\left (x^{3}-2 y^{3}\right ) y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
131.046 |
|
| 27475 |
\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*} |
✗ |
✓ |
✓ |
✗ |
131.492 |
|
| 27476 |
\begin{align*}
\left (x^{2}-1\right ) y^{\prime \prime }+\left (a x +b \right ) y^{\prime }+c y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
131.670 |
|
| 27477 |
\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 |
|
| 27478 |
\begin{align*}
\left (a \cot \left (\lambda x \right )+b \right ) y^{\prime }&=y^{2}+c \cot \left (\mu x \right ) y-d^{2}+c d \cot \left (\mu x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
132.317 |
|
| 27479 |
\begin{align*}
\left (r^{2}+r \right ) R^{\prime \prime }+r R^{\prime }-n \left (n +1\right ) R&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
132.403 |
|
| 27480 |
\begin{align*}
y^{\prime }&=\sqrt {y}+x \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
133.130 |
|
| 27481 |
\begin{align*}
x y {y^{\prime }}^{2}+\left (x^{2}+y^{2}-h^{2}\right ) y^{\prime }-y x&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
133.563 |
|
| 27482 |
\begin{align*}
y-2+\left (3 x -y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
133.786 |
|
| 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*} |
✗ |
✓ |
✓ |
✗ |
133.900 |
|
| 27484 |
\begin{align*}
3 x +2 y+3-\left (x +2 y-1\right ) y^{\prime }&=0 \\
y \left (-2\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
134.010 |
|
| 27485 |
\begin{align*}
\left (x +\sqrt {y^{2}-y x}\right ) y^{\prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
134.820 |
|
| 27486 |
\begin{align*}
{y^{\prime }}^{4}&=4 y \left (x y^{\prime }-2 y\right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
135.368 |
|
| 27487 |
\begin{align*}
\csc \left (x \right )^{2} \left (2+\sin \left (x \right )^{2}\right ) y-\csc \left (2 x \right ) y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
135.490 |
|
| 27488 |
\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*} |
✓ |
✓ |
✓ |
✗ |
135.652 |
|
| 27489 |
\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*} |
✓ |
✓ |
✓ |
✗ |
135.776 |
|
| 27490 |
\begin{align*}
a x y {y^{\prime }}^{2}-\left (a y^{2}+b \,x^{2}+c \right ) y^{\prime }+b x y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
135.895 |
|
| 27491 |
\begin{align*}
\left (x y^{\prime }-y\right ) \left (y y^{\prime }+x \right )&=a^{2} y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
135.917 |
|
| 27492 |
\begin{align*}
y y^{\prime }-\frac {a \left (6 x -13\right ) y}{13 x^{{5}/{2}}}&=-\frac {a^{2} \left (x -1\right ) \left (x -13\right )}{26 x^{4}} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
136.582 |
|
| 27493 |
\begin{align*}
2 y y^{\prime \prime }&=8 y^{3}+{y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
136.739 |
|
| 27494 |
\begin{align*}
y^{\prime }&=1+x +x^{2} \cos \left (x \right )-\left (1+4 x \cos \left (x \right )\right ) y+2 y^{2} \cos \left (x \right ) \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
137.664 |
|
| 27495 |
\begin{align*}
-4 x -y-1+\left (x +y+3\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
137.719 |
|
| 27496 |
\begin{align*}
c x y+\left (b \,x^{2}+a \right ) y^{\prime }+x \left (-x^{2}+1\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
137.774 |
|
| 27497 |
\begin{align*}
2 x^{3} y^{\prime }&=\left (2 x^{2}-y^{2}\right ) y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
138.127 |
|
| 27498 |
\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 |
|
| 27499 |
\begin{align*}
y^{\prime }+\frac {2 y}{x}&=3 x^{2} y^{{1}/{3}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
138.689 |
|
| 27500 |
\begin{align*}
4 {y^{\prime }}^{2} x +4 y y^{\prime }&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
139.098 |
|