| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 25301 |
\begin{align*}
x^{3}+y^{3}+y^{2} \left (3 x +k y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
58.550 |
|
| 25302 |
\begin{align*}
y y^{\prime }+y^{\prime \prime }&=y^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
58.612 |
|
| 25303 |
\begin{align*}
{y^{\prime }}^{2}+a y+b \,x^{2}&=0 \\
\end{align*} |
✓ |
✗ |
✓ |
✗ |
58.763 |
|
| 25304 |
\begin{align*}
\left (x^{2} y^{\prime }+y^{2}\right ) \left (y^{\prime } x +y\right )&=\left (1+y^{\prime }\right )^{2} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
58.789 |
|
| 25305 |
\begin{align*}
z^{\prime \prime }+z+z^{5}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
58.867 |
|
| 25306 |
\begin{align*}
y^{\prime } x -y+y^{2}&=x^{{2}/{3}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
58.944 |
|
| 25307 |
\begin{align*}
-x^{\prime \prime }+x&={\mathrm e}^{-x^{2}} \\
x \left (a \right ) &= 0 \\
x \left (b \right ) &= 0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
59.008 |
|
| 25308 |
\begin{align*}
y^{\prime } x&=y+a \sqrt {y^{2}+b^{2} x^{2}} \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
59.181 |
|
| 25309 |
\begin{align*}
-y+y^{\prime } x&=\sqrt {x^{2}-y^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
59.191 |
|
| 25310 |
\begin{align*}
y y^{\prime }-y&=\frac {A}{x}-\frac {A^{2}}{x^{3}} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
59.261 |
|
| 25311 |
\begin{align*}
y^{\prime }&=\frac {\left (2 y \ln \left (x \right )-1\right )^{3}}{\left (-1+2 y \ln \left (x \right )-y\right ) x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
59.329 |
|
| 25312 |
\begin{align*}
y^{\prime } \sqrt {b^{2}-x^{2}}&=\sqrt {a^{2}-y^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
59.549 |
|
| 25313 |
\begin{align*}
\left (\left (-y+a \right ) \left (-y+b \right )+\left (-y+a \right ) \left (c -y\right )+\left (-y+b \right ) \left (c -y\right )\right ) {y^{\prime }}^{2}+2 \left (-y+a \right ) \left (-y+b \right ) \left (c -y\right ) y^{\prime \prime }&=\operatorname {a3} \left (-y+a \right )^{2} \left (-y+b \right )^{2}+2 \operatorname {a2} \left (-y+a \right )^{2} \left (c -y\right )^{2}+\operatorname {a1} \left (-y+b \right )^{2} \left (c -y\right )^{2}+\operatorname {a0} \left (-y+a \right )^{2} \left (-y+b \right )^{2} \left (c -y\right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
59.551 |
|
| 25314 |
\begin{align*}
x^{2}+y^{2}+\left (a x y+y^{4}\right ) y^{\prime }&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
59.565 |
|
| 25315 |
\begin{align*}
x^{2} y^{\prime }+\cos \left (2 y\right )&=1 \\
y \left (\infty \right ) &= \frac {10 \pi }{3} \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
59.645 |
|
| 25316 |
\begin{align*}
\left (y^{4}-a^{2} x^{2}\right ) {y^{\prime }}^{2}+2 a^{2} x y y^{\prime }+y^{2} \left (y^{2}-a^{2}\right )&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
59.683 |
|
| 25317 |
\begin{align*}
\left (x^{2}-1\right ) y^{\prime \prime }+2 y^{\prime } x -l y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
59.760 |
|
| 25318 |
\begin{align*}
x^{\prime \prime }+p \left (t \right ) x^{\prime }+q \left (t \right ) x&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
59.761 |
|
| 25319 |
\begin{align*}
y^{\prime \prime }+a y y^{\prime }+y^{3} b&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
59.927 |
|
| 25320 |
\begin{align*}
y^{\prime }&=\frac {x^{2} \left (x +1+2 x \sqrt {x^{3}-6 y}\right )}{2 x +2} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
59.947 |
|
| 25321 |
\begin{align*}
a \,x^{2} y^{\prime }&=x^{2}+a x y+b^{2} y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
59.966 |
|
| 25322 |
\begin{align*}
3 y-7 x +7-\left (3 x -7 y-3\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
60.000 |
|
| 25323 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime \prime }+\left (x -1\right ) y^{\prime }+y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
60.009 |
|
| 25324 |
\begin{align*}
x^{\prime \prime }-4 x^{\prime }+3 x&=1 \\
x \left (0\right ) &= 0 \\
x^{\prime }\left (0\right ) &= 0 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
60.037 |
|
| 25325 |
\begin{align*}
{x^{\prime }}^{2}+t x&=\sqrt {1+t} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
60.183 |
|
| 25326 |
\begin{align*}
x -y+\left (2 x +y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
60.202 |
|
| 25327 |
\begin{align*}
\left (6 x -5 y+4\right ) y^{\prime }+y-2 x -1&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
60.400 |
|
| 25328 |
\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*} |
✓ |
✓ |
✓ |
✓ |
60.422 |
|
| 25329 |
\begin{align*}
y^{\prime }&=a \,x^{n} y^{2}+b m \,x^{m -1}-a \,b^{2} x^{n +2 m} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
60.469 |
|
| 25330 |
\begin{align*}
x^{2} y^{\prime \prime }-2 y^{\prime } x +2 y&=3 x -2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
60.492 |
|
| 25331 |
\begin{align*}
4 \left (x^{2}+y^{2}\right ) x -5 y+4 y \left (x^{2}+y^{2}-5 x \right ) y^{\prime }&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
60.570 |
|
| 25332 |
\begin{align*}
3 x^{2}+6 y x +3 y^{2}+\left (2 x^{2}+3 y x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
60.584 |
|
| 25333 |
\begin{align*}
x^{3} y^{\prime }&=a \,x^{3} y^{2}+\left (b \,x^{2}+c \right ) y+s x \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
60.641 |
|
| 25334 |
\begin{align*}
\left (8 {y^{\prime }}^{3}-27\right ) x&=\frac {12 {y^{\prime }}^{2}}{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
60.705 |
|
| 25335 |
\begin{align*}
y^{2}-x^{2}-2 y y^{\prime } x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
60.755 |
|
| 25336 |
\begin{align*}
x^{3} y^{\prime }&=x^{2} y-y^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
60.769 |
|
| 25337 |
\begin{align*}
x^{2} {y^{\prime }}^{2}-y \left (y-2 x \right ) y^{\prime }+y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
60.800 |
|
| 25338 |
\begin{align*}
y^{\prime \prime }+\sqrt {t}\, y^{\prime }-\sqrt {t -3}\, y&=0 \\
y \left (10\right ) &= y_{1} \\
y^{\prime }\left (10\right ) &= y_{1} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
60.806 |
|
| 25339 |
\begin{align*}
x^{2}+y^{2}-2 y y^{\prime } x&=0 \\
y \left (1\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
60.908 |
|
| 25340 |
\begin{align*}
y^{\prime }&=\lambda \operatorname {arccot}\left (x \right )^{n} y^{2}-b \lambda \,x^{m} \operatorname {arccot}\left (x \right )^{n} y+b m \,x^{m -1} \\
\end{align*} |
✓ |
✗ |
✗ |
✗ |
60.912 |
|
| 25341 |
\begin{align*}
y^{\prime \prime }+\sqrt {t}\, y^{\prime }+y&=\sqrt {t} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
61.001 |
|
| 25342 |
\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*} |
✓ |
✓ |
✓ |
✗ |
61.048 |
|
| 25343 |
\begin{align*}
2 y+3 x y^{2}+\left (x +2 x^{2} y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
61.079 |
|
| 25344 |
\begin{align*}
y^{\prime }&=\frac {y}{x -y+1} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
61.118 |
|
| 25345 |
\begin{align*}
x^{2}-2 y^{2}+y y^{\prime } x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
61.334 |
|
| 25346 |
\begin{align*}
\left (1-x^{2} y\right ) y^{\prime }-1+x y^{2}&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
61.339 |
|
| 25347 |
\begin{align*}
x -4 y-3-\left (x -6 y-5\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
61.383 |
|
| 25348 |
\begin{align*}
\sqrt {\frac {y}{x}}+\cos \left (x \right )+\left (\sqrt {\frac {x}{y}}+\sin \left (y\right )\right ) y^{\prime }&=0 \\
\end{align*} |
✗ |
✗ |
✓ |
✗ |
61.469 |
|
| 25349 |
\begin{align*}
2 x \left (x -1\right ) y^{\prime \prime }+\left (\left (2 v +5\right ) x -2 v -3\right ) y^{\prime }+\left (v +1\right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
61.493 |
|
| 25350 |
\begin{align*}
y y^{\prime }&=\left (\frac {a}{x^{{2}/{3}}}-\frac {2}{3 a \,x^{{1}/{3}}}\right ) y+1 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
61.518 |
|
| 25351 |
\begin{align*}
y^{\prime }&=\frac {3 x -2 y+7}{2 x +3 y+9} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
61.604 |
|
| 25352 |
\begin{align*}
x -2 y-3+\left (2 x +y-1\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
61.704 |
|
| 25353 |
\begin{align*}
-\left (-x^{4}+4 a \,x^{2}+n^{2}\right ) y+y^{\prime } x +x^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
61.727 |
|
| 25354 |
\begin{align*}
y^{\prime }&=\frac {x^{2}}{2}+\sqrt {x^{3}-6 y}+x^{2} \sqrt {x^{3}-6 y}+x^{3} \sqrt {x^{3}-6 y} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
61.729 |
|
| 25355 |
\begin{align*}
x^{2} y^{\prime \prime }-2 y^{\prime } x +2 y&=\tan \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
61.847 |
|
| 25356 |
\begin{align*}
3 x -y+1+\left (x -3 y-5\right ) y^{\prime }&=0 \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
61.912 |
|
| 25357 |
\begin{align*}
p \left (1+p \right ) y+\left (1-2 x \right ) y^{\prime }+\left (1-x \right ) x y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
62.126 |
|
| 25358 |
\begin{align*}
y^{\prime }&=-\frac {\ln \left (x \right )-\sinh \left (x \right ) x^{2}-2 \sinh \left (x \right ) x y-\sinh \left (x \right )-\sinh \left (x \right ) y^{2}}{\ln \left (x \right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
62.281 |
|
| 25359 |
\begin{align*}
y^{\prime }&=a \,x^{n} y^{2}+b \lambda \,{\mathrm e}^{\lambda x}-a \,b^{2} x^{n} {\mathrm e}^{2 \lambda x} \\
\end{align*} |
✓ |
✗ |
✗ |
✗ |
62.332 |
|
| 25360 |
\begin{align*}
y^{2}&=\left (t y-4 t^{2}\right ) y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
62.357 |
|
| 25361 |
\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*} |
✓ |
✓ |
✓ |
✓ |
62.363 |
|
| 25362 |
\begin{align*}
y^{2}-\left (y x +2\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
62.411 |
|
| 25363 |
\begin{align*}
{y^{\prime }}^{2}+a y y^{\prime }-b x -c&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
62.437 |
|
| 25364 |
\begin{align*}
p^{\prime }&=3 p-2 q-7 r \\
q^{\prime }&=-2 p+6 r \\
r^{\prime }&=\frac {73 q}{100}+2 r \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
62.449 |
|
| 25365 |
\begin{align*}
{y^{\prime }}^{2}+\left (-2 x +3 y\right ) y^{\prime }-6 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
62.558 |
|
| 25366 |
\begin{align*}
y^{\prime }&=\frac {\left (\left (x^{2}+1\right )^{{3}/{2}} x^{2}+\left (x^{2}+1\right )^{{3}/{2}}+y^{2} \left (x^{2}+1\right )^{{3}/{2}}+x^{2} y^{3}+y^{3}\right ) x}{\left (x^{2}+1\right )^{3}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
62.565 |
|
| 25367 |
\begin{align*}
y y^{\prime } x&=2 y^{2}-3 x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
62.566 |
|
| 25368 |
\begin{align*}
y^{\prime }&=\frac {2 a +\sqrt {-y^{2}+4 a x}+x^{2} \sqrt {-y^{2}+4 a x}+x^{3} \sqrt {-y^{2}+4 a x}}{y} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
62.578 |
|
| 25369 |
\begin{align*}
2 t x x^{\prime }+t^{2}-x^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
62.723 |
|
| 25370 |
\begin{align*}
-x^{\prime \prime }&=\frac {1}{\sqrt {x^{2}+1}}-x \\
x \left (a \right ) &= 0 \\
x \left (b \right ) &= 0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
62.753 |
|
| 25371 |
\begin{align*}
y^{\prime }&=a +b y+\sqrt {A +B y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
62.776 |
|
| 25372 |
\begin{align*}
3 y-7 x +7&=\left (3 x -7 y-3\right ) y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
62.776 |
|
| 25373 |
\begin{align*}
y^{\prime } \sin \left (y^{\prime }\right )+\cos \left (y^{\prime }\right )&=y \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
62.823 |
|
| 25374 |
\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*} |
✓ |
✓ |
✓ |
✗ |
62.836 |
|
| 25375 |
\begin{align*}
y^{\prime }&=-\frac {x^{3} \left (\sqrt {a}\, x +\sqrt {a}-2 \sqrt {a \,x^{4}+8 y}\right ) \sqrt {a}}{2 \left (x +1\right )} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
62.850 |
|
| 25376 |
\begin{align*}
\sin \left (x +y\right )-y y^{\prime }&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
62.884 |
|
| 25377 |
\begin{align*}
\left (x -3 y+4\right ) y^{\prime }&=5 x -7 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
62.944 |
|
| 25378 |
\begin{align*}
y^{\prime }&=\lambda \sin \left (\lambda x \right ) y^{2}+f \left (x \right ) \cos \left (\lambda x \right ) y-f \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
63.020 |
|
| 25379 |
\begin{align*}
x \left (2 y x +1\right ) y^{\prime }+\left (1+2 y x -y^{2} x^{2}\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
63.021 |
|
| 25380 |
\begin{align*}
y^{\prime }&=-\left (1+k \right ) x^{k} y^{2}+\lambda \arcsin \left (x \right )^{n} \left (x^{1+k} y-1\right ) \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
63.037 |
|
| 25381 |
\begin{align*}
2 y^{\prime \prime } x +x^{2} y^{\prime }-\sin \left (x \right ) y&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
63.063 |
|
| 25382 |
\begin{align*}
y&=x {y^{\prime }}^{2}+{y^{\prime }}^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
63.079 |
|
| 25383 |
\begin{align*}
y {y^{\prime \prime }}^{3}+y^{3} y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
63.111 |
|
| 25384 |
\begin{align*}
y^{\prime \prime }&=-\frac {\left (\left (1+a \right ) x -1\right ) y^{\prime }}{x \left (x -1\right )}-\frac {\left (\left (a^{2}-b^{2}\right ) x +c^{2}\right ) y}{4 x^{2} \left (x -1\right )} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
63.130 |
|
| 25385 |
\begin{align*}
r^{\prime \prime }&=-\frac {k}{r^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
63.222 |
|
| 25386 |
\begin{align*}
y^{\prime } x&=\lambda \arccos \left (x \right )^{n} y^{2}+k y+\lambda \,b^{2} x^{2 k} \arccos \left (x \right )^{n} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
63.243 |
|
| 25387 |
\begin{align*}
\left (1-x \right ) y^{\prime \prime }-4 y^{\prime } x +5 y&=\cos \left (x \right ) \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
63.310 |
|
| 25388 |
\begin{align*}
x \left (2 x^{2}+y^{2}\right )+y \left (x^{2}+2 y^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
63.337 |
|
| 25389 |
\begin{align*}
\left ({y^{\prime }}^{2}+a \left (-y+y^{\prime } x \right )\right ) y^{\prime \prime }-b&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
63.348 |
|
| 25390 |
\begin{align*}
y^{\prime }&=\lambda \arccos \left (x \right )^{n} y^{2}-b \lambda \,x^{m} \arccos \left (x \right )^{n} y+b m \,x^{m -1} \\
\end{align*} |
✓ |
✗ |
✗ |
✗ |
63.381 |
|
| 25391 |
\begin{align*}
x^{2}-y^{2}+2 y y^{\prime } x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
63.412 |
|
| 25392 |
\begin{align*}
\left (2 t +1\right ) x^{\prime \prime }+t^{3} x^{\prime }+x&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
63.505 |
|
| 25393 |
\begin{align*}
x_{1}^{\prime }&=2 x_{1}+x_{2}+1 \\
x_{2}^{\prime }&=x_{1}-2 x_{2}+x_{3} \\
x_{3}^{\prime }&=x_{2}-x_{3} \\
\end{align*} With initial conditions \begin{align*}
x_{1} \left (0\right ) &= 0 \\
x_{2} \left (0\right ) &= 0 \\
x_{3} \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
63.587 |
|
| 25394 |
\begin{align*}
2 t +\frac {19 y}{10}+\left (\frac {19 t}{10}+2 y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
63.632 |
|
| 25395 |
\begin{align*}
{y^{\prime }}^{3}+x {y^{\prime }}^{2}-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
63.808 |
|
| 25396 |
\begin{align*}
y^{\prime \prime }&=\frac {1}{y^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
63.848 |
|
| 25397 |
\begin{align*}
y x +\left (x^{2}-3 y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
63.945 |
|
| 25398 |
\begin{align*}
x^{2} y^{\prime }&=\left (a x +b y\right ) y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
63.951 |
|
| 25399 |
\begin{align*}
R^{\prime \prime }&=-\frac {k}{R^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
63.974 |
|
| 25400 |
\begin{align*}
\left (c \,x^{2}+b x +a \right ) y+x^{2} y^{\prime }+x^{3} y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
64.072 |
|