| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 27301 |
\begin{align*}
n \left (n +1\right ) y-2 x y^{\prime }+\left (-x^{2}+1\right ) y^{\prime \prime }&=\frac {2 \left (-1-n \right ) x \operatorname {LegendreP}\left (n , x\right )+2 \left (n +1\right ) \operatorname {LegendreP}\left (n +1, x\right )}{x^{2}-1} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
98.070 |
|
| 27302 |
\begin{align*}
{y^{\prime }}^{3}-y {y^{\prime }}^{2}+y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
98.105 |
|
| 27303 |
\begin{align*}
x y^{3} y^{\prime }&=y^{4}+x^{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
98.177 |
|
| 27304 |
\begin{align*}
\sin \left (y\right )^{3} y^{\prime \prime }&=\cos \left (y\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
98.262 |
|
| 27305 |
\begin{align*}
x^{2} y^{4}+x^{6}-x^{3} y^{3} y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
98.308 |
|
| 27306 |
\begin{align*}
\left (x^{2}-2 y x \right ) {y^{\prime }}^{2}-2 x y y^{\prime }+y^{2}-2 y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
98.398 |
|
| 27307 |
\begin{align*}
y y^{\prime }-y&=-\frac {3 x}{16}+\frac {5 A}{x^{{1}/{3}}}-\frac {12 A^{2}}{x^{{5}/{3}}} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
98.482 |
|
| 27308 |
\begin{align*}
x \left (1-x \ln \left (x \right )\right ) y^{\prime \prime }+\left (1+x^{2} \ln \left (x \right )\right ) y^{\prime }-\left (x +1\right ) y&=\left (1-x \ln \left (x \right )\right )^{2} {\mathrm e}^{x} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
98.677 |
|
| 27309 |
\begin{align*}
\left (x y^{\prime }-y\right )^{2}&={y^{\prime }}^{2}-\frac {2 y y^{\prime }}{x}+1 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
98.914 |
|
| 27310 |
\begin{align*}
p \left (1+p \right ) y-2 x y^{\prime }+\left (-x^{2}+1\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
99.138 |
|
| 27311 |
\begin{align*}
y y^{\prime }+\frac {a \left (x -2\right ) y}{x}&=\frac {2 a^{2} \left (x -1\right )}{x} \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
99.185 |
|
| 27312 |
\begin{align*}
-\left (m^{2}-n \left (n +1\right ) \left (-x^{2}+1\right )\right ) y-2 x \left (-x^{2}+1\right ) y^{\prime }+\left (-x^{2}+1\right )^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
99.235 |
|
| 27313 |
\begin{align*}
2 \left (a \,x^{n}+b \,x^{m}+c \right ) y^{\prime \prime }+a n \,x^{n -1} b m \,x^{m -1} y^{\prime }+d y&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
99.291 |
|
| 27314 |
\begin{align*}
\left (2 y x -x^{2}\right ) {y^{\prime }}^{2}-6 x y y^{\prime }-y^{2}+2 y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
99.341 |
|
| 27315 |
\begin{align*}
y y^{\prime }+x \left (a \,x^{2}+b \right ) y+x&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
99.705 |
|
| 27316 |
\begin{align*}
a_{1} x +b_{1} y+c_{1} +\left (b_{1} x +b_{2} y+c_{2} \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
99.769 |
|
| 27317 |
\begin{align*}
y^{\prime }&=\frac {2 y^{4}+x^{4}}{x y^{3}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
99.834 |
|
| 27318 |
\begin{align*}
\left (a^{2} \sqrt {x^{2}+y^{2}}-x^{2}\right ) {y^{\prime }}^{2}+2 x y y^{\prime }+a^{2} \sqrt {x^{2}+y^{2}}-y^{2}&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
100.556 |
|
| 27319 |
\begin{align*}
a \,x^{2}+2 b x y+c y^{2}+\left (b \,x^{2}+2 c x y+y^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
100.565 |
|
| 27320 |
\begin{align*}
y y^{\prime }+a \left (1-\frac {1}{x}\right ) y&=a^{2} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
100.633 |
|
| 27321 |
\begin{align*}
2 {y^{\prime }}^{4}-y y^{\prime }-2&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
101.128 |
|
| 27322 |
\begin{align*}
y^{\prime }&=\sqrt {\frac {5 x -6 y}{5 x +6 y}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
101.184 |
|
| 27323 |
\begin{align*}
\left (a {y^{\prime }}^{2}-b \right ) x y+\left (b \,x^{2}-a y^{2}+c \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
101.198 |
|
| 27324 |
\begin{align*}
x \left (x +\sqrt {x^{2}+y^{2}}\right ) y^{\prime }+y \sqrt {x^{2}+y^{2}}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
101.317 |
|
| 27325 |
\begin{align*}
y y^{\prime \prime }+a {y^{\prime }}^{2}+b y^{2} y^{\prime }+c y^{4}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
101.552 |
|
| 27326 |
\begin{align*}
y \left (9 x -2 y\right )-x \left (6 x -y\right ) y^{\prime }&=0 \\
y \left (1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
101.601 |
|
| 27327 |
\begin{align*}
a x y {y^{\prime }}^{2}+\left (x^{2}-a y^{2}-b \right ) y^{\prime }-y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
101.651 |
|
| 27328 |
\begin{align*}
p \left (2 k +p \right ) y-\left (1+2 k \right ) x y^{\prime }+\left (-x^{2}+1\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
101.835 |
|
| 27329 |
\begin{align*}
3 y-7 x +7-\left (3 x -7 y-3\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
101.931 |
|
| 27330 |
\begin{align*}
y y^{\prime }+\frac {a \left (3 x -2\right ) y}{x}&=-\frac {2 a^{2} \left (x -1\right )^{2}}{x} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
101.948 |
|
| 27331 |
\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*} |
✗ |
✓ |
✓ |
✗ |
102.206 |
|
| 27332 |
\begin{align*}
y^{\prime }&=\frac {y^{2}}{-y x +1} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
102.325 |
|
| 27333 |
\begin{align*}
2 x \sin \left (\frac {y}{x}\right )+2 x \tan \left (\frac {y}{x}\right )-y \cos \left (\frac {y}{x}\right )-y \sec \left (\frac {y}{x}\right )^{2}+\left (x \cos \left (\frac {y}{x}\right )+x \sec \left (\frac {y}{x}\right )^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
102.507 |
|
| 27334 |
\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*} |
✗ |
✓ |
✗ |
✗ |
102.620 |
|
| 27335 |
\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*} |
✗ |
✓ |
✓ |
✗ |
102.932 |
|
| 27336 |
\begin{align*}
y y^{\prime \prime }&=b y^{2}+y^{3}+a y y^{\prime }+{y^{\prime }}^{2} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
102.979 |
|
| 27337 |
\begin{align*}
y^{\prime \prime }&=-\frac {a x y^{\prime }}{x^{2}+1}-\frac {b y}{\left (x^{2}+1\right )^{2}} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
103.131 |
|
| 27338 |
\begin{align*}
y y^{\prime }+a y+\frac {\left (a^{2}-1\right ) x}{4}+b \,x^{n}&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
103.133 |
|
| 27339 |
\begin{align*}
y^{\prime }&=\sqrt {y x} \\
y \left (1\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
103.142 |
|
| 27340 |
\begin{align*}
y y^{\prime }-y&=-\frac {3 x}{16}+\frac {A}{x^{{5}/{3}}} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
103.210 |
|
| 27341 |
\begin{align*}
a x \sqrt {1+{y^{\prime }}^{2}}+x y^{\prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
103.264 |
|
| 27342 |
\begin{align*}
x \left (x -1\right ) y^{\prime \prime }+\left (\left (a +1\right ) x +b \right ) y^{\prime }-l y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
103.284 |
|
| 27343 |
\begin{align*}
y y^{\prime \prime }-{y^{\prime }}^{2}+\left (a y-1\right ) y^{\prime }-y \left (y+1\right ) \left (b^{2} y^{2}-a^{2}\right )&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
103.480 |
|
| 27344 |
\begin{align*}
y^{\prime \prime }&=-\frac {2 x y^{\prime }}{x^{2}-1}-\frac {\left (\left (x^{2}-1\right ) \left (a \,x^{2}+b x +c \right )-k^{2}\right ) y}{\left (x^{2}-1\right )^{2}} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
103.530 |
|
| 27345 |
\begin{align*}
y y^{\prime }-y&=-\frac {4 x}{25}+\frac {A}{\sqrt {x}} \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
103.614 |
|
| 27346 |
\begin{align*}
\left (2 x y^{3}-x^{4}\right ) y^{\prime }+2 x^{3} y-y^{4}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
103.984 |
|
| 27347 |
\begin{align*}
x^{\prime }&=3 x-4 y+z+t \\
y^{\prime }&=x-3 z+t^{2} \\
z^{\prime }&=6 y-7 z+t^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
104.161 |
|
| 27348 |
\begin{align*}
\left (x^{2}-2 x \right ) y^{\prime \prime }+\left (-x^{2}+2\right ) y^{\prime }-2 \left (1-x \right ) y&=2 x -2 \\
y \left (\infty \right ) &= 1 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
104.433 |
|
| 27349 |
\begin{align*}
{y^{\prime }}^{3}-2 x y^{\prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
104.464 |
|
| 27350 |
\begin{align*}
{y^{\prime }}^{2} x^{2}+x \left (x^{2}+y x -2 y\right ) y^{\prime }+\left (1-x \right ) \left (x^{2}-y\right ) y&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
104.534 |
|
| 27351 |
\begin{align*}
{y^{\prime \prime }}^{2}-2 y^{\prime } y^{\prime \prime }+3&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
104.589 |
|
| 27352 |
\begin{align*}
y y^{\prime }-a \left (1-\frac {b}{x}\right ) y&=a^{2} b \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
104.627 |
|
| 27353 |
\begin{align*}
y y^{\prime }-y&=-\frac {3 x}{16}+\frac {3 A}{x^{{1}/{3}}}-\frac {12 A^{2}}{x^{{5}/{3}}} \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
104.700 |
|
| 27354 |
\begin{align*}
x {y^{\prime }}^{3}&=y y^{\prime }+1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
104.724 |
|
| 27355 |
\begin{align*}
y y^{\prime }&=\left (\frac {a}{x^{{2}/{3}}}-\frac {2}{3 a \,x^{{1}/{3}}}\right ) y+1 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
104.989 |
|
| 27356 |
\begin{align*}
y^{\prime \prime }&=-\frac {\left (2 x^{2}+1\right ) y^{\prime }}{x \left (x^{2}+1\right )}-\frac {\left (-v \left (v +1\right ) x^{2}-n^{2}\right ) y}{x^{2} \left (x^{2}+1\right )} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
105.367 |
|
| 27357 |
\begin{align*}
y^{\prime }&=\sqrt {y}+x \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
105.909 |
|
| 27358 |
\begin{align*}
y^{\prime }&=\frac {2 y^{4}+x^{4}}{x y^{3}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
105.995 |
|
| 27359 |
\begin{align*}
y^{\prime }&=\frac {2 y^{4}+x^{4}}{x y^{3}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
106.064 |
|
| 27360 |
\begin{align*}
y y^{\prime }&=\frac {3 y}{\sqrt {a \,x^{{3}/{2}}+8 x}}+1 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
106.117 |
|
| 27361 |
\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 )+\lambda a \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
106.123 |
|
| 27362 |
\begin{align*}
y^{\prime }&=\frac {y x +3}{5 x -y} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
106.313 |
|
| 27363 |
\begin{align*}
y y^{\prime }&=\left (a -\frac {1}{a x}\right ) y+1 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
106.410 |
|
| 27364 |
\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*} |
✓ |
✓ |
✓ |
✗ |
106.514 |
|
| 27365 |
\begin{align*}
{y^{\prime \prime }}^{2}-2 y^{\prime } y^{\prime \prime }+3&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
106.714 |
|
| 27366 |
\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*} |
✓ |
✓ |
✓ |
✗ |
106.999 |
|
| 27367 |
\begin{align*}
{y^{\prime }}^{3}+y^{\prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
107.199 |
|
| 27368 |
\begin{align*}
y^{\prime }&=\frac {y \left (y x +1\right )}{x \left (-y x +1\right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
107.552 |
|
| 27369 |
\begin{align*}
2 y^{\prime }&=\left (\lambda +a -\sin \left (\lambda x \right ) a \right ) y^{2}+\lambda -a -\sin \left (\lambda x \right ) a \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
107.712 |
|
| 27370 |
\begin{align*}
\left (1+{y^{\prime }}^{2}\right ) \left (x -y\right )^{2}&=\left (y y^{\prime }+x \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
107.757 |
|
| 27371 |
\begin{align*}
3 x +2 y+3-\left (x +2 y-1\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
107.801 |
|
| 27372 |
\begin{align*}
x^{\prime }&=\frac {a x^{{5}/{6}}}{\left (-B t +b \right )^{{3}/{2}}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
108.157 |
|
| 27373 |
\begin{align*}
\left (x^{2}-1\right )^{2} y^{\prime \prime }+2 x \left (x^{2}-1\right ) y^{\prime }-\left (\nu \left (\nu +1\right ) \left (x^{2}-1\right )+n^{2}\right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
108.167 |
|
| 27374 |
\begin{align*}
\phi ^{\prime \prime }&=\frac {4 \pi n c}{\sqrt {v_{0}^{2}+\frac {2 e \left (\phi -V_{0} \right )}{m}}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
108.207 |
|
| 27375 |
\begin{align*}
\left (4 x -y\right ) y^{\prime }+2 x -5 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
108.333 |
|
| 27376 |
\begin{align*}
\left (2 y x -x^{2}\right ) {y^{\prime }}^{2}+2 x y y^{\prime }+2 y x -y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
108.440 |
|
| 27377 |
\begin{align*}
y y^{\prime }-y&=-\frac {2 x}{9}+6 A^{2} \left (1+\frac {2 A}{\sqrt {x}}\right ) \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
108.650 |
|
| 27378 |
\begin{align*}
y^{\prime }&=-\frac {x +2}{x \left (x +1\right )^{2}}-\frac {\left (-x^{2}+x +2\right ) y}{x \left (x +1\right )}+\left (x +1\right ) y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
108.706 |
|
| 27379 |
\begin{align*}
a x y {y^{\prime }}^{2}+\left (x^{2}-a y^{2}-b \right ) y^{\prime }-y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
108.727 |
|
| 27380 |
\begin{align*}
y y^{\prime }&=\left (2 \ln \left (x \right )^{2}+2 \ln \left (x \right )+a \right ) y+x \left (-\ln \left (x \right )^{4}-a \ln \left (x \right )^{2}+b \right ) \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
108.746 |
|
| 27381 |
\begin{align*}
\left (x^{2}+y x +a y^{2}\right ) y^{\prime }&=a \,x^{2}+y x +y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
108.831 |
|
| 27382 |
\begin{align*}
2 a^{2} y-x y^{\prime }+2 \left (-x^{2}+1\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
109.260 |
|
| 27383 |
\begin{align*}
{y^{\prime }}^{2} x +y y^{\prime }-x^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
109.273 |
|
| 27384 |
\begin{align*}
y y^{\prime }-y&=\frac {15 x}{4}+\frac {6 A}{x^{{1}/{3}}}-\frac {3 A^{2}}{x^{{5}/{3}}} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
109.430 |
|
| 27385 |
\begin{align*}
\left (x^{2} y^{2}-1\right ) y+x \left (x^{2} y+2 x +y\right ) y^{\prime }&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
109.472 |
|
| 27386 |
\begin{align*}
y y^{\prime }-y&=-\frac {12 x}{49}+A \sqrt {x} \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
109.806 |
|
| 27387 |
\begin{align*}
y&={y^{\prime }}^{2} x -\frac {1}{y^{\prime }} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
109.871 |
|
| 27388 |
\begin{align*}
2 x +y+\left (4 x -2 y+1\right ) y^{\prime }&=0 \\
y \left (\frac {1}{2}\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
109.997 |
|
| 27389 |
\begin{align*}
y^{\prime }&=\sqrt {y^{2}-9} \\
y \left (1\right ) &= 4 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
110.140 |
|
| 27390 |
\begin{align*}
y^{\prime \prime }&=-\frac {\left (5 x^{2}+27\right ) y}{36 \left (x^{2}-1\right )^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
110.187 |
|
| 27391 |
\begin{align*}
\frac {y y^{\prime }+x}{x y^{\prime }-y}&=\sqrt {\frac {a^{2}-x^{2}-y^{2}}{x^{2}+y^{2}}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
110.355 |
|
| 27392 |
\begin{align*}
x^{3} y^{\prime \prime }+\left (a \,x^{2}+b x \right ) y^{\prime }+b y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
110.684 |
|
| 27393 |
\begin{align*}
y y^{\prime }-y&=\frac {A}{x} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
111.070 |
|
| 27394 |
\begin{align*}
y+x \left (x +1\right ) y^{\prime }+x \left (x^{2}+1\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
111.234 |
|
| 27395 |
\begin{align*}
x^{2} \left (a^{2} x^{2 n}-1\right ) y^{\prime \prime }+x \left (a p \,x^{n}+q \right ) y^{\prime }+\left (a r \,x^{n}+s \right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
111.360 |
|
| 27396 |
\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*} |
✗ |
✓ |
✓ |
✗ |
111.794 |
|
| 27397 |
\begin{align*}
y y^{\prime }-y&=\frac {63 x}{4}+\frac {A}{x^{{5}/{3}}} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
111.898 |
|
| 27398 |
\begin{align*}
y x +1+y^{2} y^{\prime }&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
111.970 |
|
| 27399 |
\begin{align*}
{y^{\prime }}^{4}+4 y {y^{\prime }}^{3}+6 y^{2} {y^{\prime }}^{2}-\left (1-4 y^{3}\right ) y^{\prime }-\left (3-y^{3}\right ) y&=0 \\
\end{align*} |
✓ |
✗ |
✓ |
✓ |
112.394 |
|
| 27400 |
\begin{align*}
y^{\prime }+\frac {y}{x}&=\frac {y^{2}}{x} \\
y \left (-1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
112.611 |
|