| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 301 |
\begin{align*}
-a^{2} y+12 y^{\prime \prime }+8 x y^{\prime \prime \prime }+x^{2} y^{\prime \prime \prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.043 |
|
| 302 |
\begin{align*}
\left (2 x -3\right ) y^{\prime \prime \prime }-\left (6 x -7\right ) y^{\prime \prime }+4 y^{\prime } x -4 y&=8 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.043 |
|
| 303 |
\begin{align*}
y^{\prime \prime \prime }-2 y^{\prime \prime } x +4 x^{2} y^{\prime }+8 x^{3} y&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.043 |
|
| 304 |
\begin{align*}
y^{\prime \prime \prime }+f \left (x \right ) \left (x^{2} y^{\prime \prime }-2 y^{\prime } x +2 y\right )&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.043 |
|
| 305 |
\begin{align*}
x^{2} y^{\prime \prime \prime }-\left (x^{4}-6 x \right ) y^{\prime \prime }-\left (2 x^{3}-6\right ) y^{\prime }+2 x^{2} y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.043 |
|
| 306 |
\begin{align*}
2 x \left (x -1\right ) y^{\prime \prime \prime }+3 \left (2 x -1\right ) y^{\prime \prime }+\left (2 a x +b \right ) y^{\prime }+a y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.043 |
|
| 307 |
\begin{align*}
x^{3} y^{\prime \prime \prime }+\left (-\nu ^{2}+1\right ) x y^{\prime }+\left (a \,x^{3}+\nu ^{2}-1\right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.043 |
|
| 308 |
\begin{align*}
-2 \left (x^{2}+4\right ) y+x \left (x^{2}+8\right ) y^{\prime }-4 x^{2} y^{\prime \prime }+x^{3} y^{\prime \prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.043 |
|
| 309 |
\begin{align*}
-12 y+3 \left (2 x^{2}+1\right ) y^{\prime \prime }+x \left (x^{2}+1\right ) y^{\prime \prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.043 |
|
| 310 |
\begin{align*}
\left (x +3\right ) x^{2} y^{\prime \prime \prime }-3 x \left (2+x \right ) y^{\prime \prime }+6 \left (x +1\right ) y^{\prime }-6 y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.043 |
|
| 311 |
\begin{align*}
\left (x -a \right )^{3} \left (-b +x \right )^{3} y^{\prime \prime \prime }-c y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.043 |
|
| 312 |
\begin{align*}
x^{2} y^{\prime \prime \prime \prime }+6 x y^{\prime \prime \prime }+6 y^{\prime \prime }-\lambda ^{2} y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.043 |
|
| 313 |
\begin{align*}
x^{{5}/{2}} y^{\left (5\right )}-a y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.043 |
|
| 314 |
\begin{align*}
{y^{\prime \prime }}^{2}-2 y^{\prime \prime } y^{\prime }+y^{2}&=0 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
0.043 |
|
| 315 |
\begin{align*}
a^{2} y^{\prime \prime }+y^{\prime \prime \prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.043 |
|
| 316 |
\begin{align*}
y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.043 |
|
| 317 |
\begin{align*}
x^{\prime }&=\sin \left (x\right )-4 y \\
y^{\prime }&=\sin \left (2 x\right )-5 y \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.043 |
|
| 318 |
\begin{align*}
x^{\prime }&=-x^{3}-y \\
y^{\prime }&=x \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.043 |
|
| 319 |
\begin{align*}
y^{\prime \prime }+y y^{\prime \prime \prime \prime }&=5 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.043 |
|
| 320 |
\begin{align*}
x^{\prime }&=5 x-6 y+x y \\
y^{\prime }&=6 x-7 y-x y \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.043 |
|
| 321 |
\begin{align*}
x^{\prime }&=y+x^{2}-x y \\
y^{\prime }&=-2 x+3 y+y^{2} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.043 |
|
| 322 |
\begin{align*}
x^{\prime }&=-2 x+y+x \,y^{2} \\
y^{\prime }&=-7 x-2 y-7 y \,x^{2} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.043 |
|
| 323 |
\begin{align*}
-4 y+3 y^{\prime \prime }+y^{\prime \prime \prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.044 |
|
| 324 |
\begin{align*}
y^{\prime \prime \prime \prime }-8 y^{\prime \prime }+16 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.044 |
|
| 325 |
\begin{align*}
y^{\prime \prime \prime \prime }&=16 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.044 |
|
| 326 |
\begin{align*}
x^{\prime }&=-x-x \,y^{2} \\
y^{\prime }&=-y-y \,x^{2} \\
z^{\prime }&=1-z+x^{2} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.044 |
|
| 327 |
\begin{align*}
y^{\prime \prime \prime \prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.044 |
|
| 328 |
\begin{align*}
x_{1}^{\prime }&=-x_{1}+2 x_{2} \\
x_{2}^{\prime }&=-3 x_{1}+4 x_{2}+\frac {{\mathrm e}^{3 t}}{1+{\mathrm e}^{2 t}} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.044 |
|
| 329 |
\begin{align*}
\left (a -x \right )^{3} \left (b -x \right )^{3} y^{\prime \prime \prime }&=c y \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.044 |
|
| 330 |
\begin{align*}
2 {y^{\prime }}^{3}+3 y^{\prime \prime }+6 y y^{\prime } y^{\prime \prime }+\left (x +y^{2}\right ) y^{\prime \prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.044 |
|
| 331 |
\begin{align*}
y^{\prime \prime \prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.044 |
|
| 332 |
\begin{align*}
x^{2} y^{\prime \prime \prime }-3 \left (p +q \right ) x y^{\prime \prime }+3 p \left (3 q +1\right ) y^{\prime }-x^{2} y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.044 |
|
| 333 |
\begin{align*}
x^{2} y^{\prime \prime \prime }-2 \left (n +1\right ) x y^{\prime \prime }+\left (a \,x^{2}+6 n \right ) y^{\prime }-2 a x y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.044 |
|
| 334 |
\begin{align*}
y^{\prime \prime \prime \prime }+\left (a \,x^{2}+b \lambda +c \right ) y^{\prime \prime }+\left (a \,x^{2}+\beta \lambda +\gamma \right ) y&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.044 |
|
| 335 |
\begin{align*}
x^{\prime }&=x \left (a \left (p x+q y\right )+\alpha \right ) \\
y^{\prime }&=y \left (\beta +b \left (p x+q y\right )\right ) \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.044 |
|
| 336 |
\begin{align*}
2 x^{3} y y^{\prime \prime \prime }+6 x^{3} y^{\prime } y^{\prime \prime }+18 x^{2} y y^{\prime \prime }+18 x^{2} {y^{\prime }}^{2}+36 y y^{\prime } x +6 y^{2}&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.044 |
|
| 337 |
\begin{align*}
x^{\prime }&=\frac {y+t}{x+y} \\
y^{\prime }&=\frac {x-t}{x+y} \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
0.044 |
|
| 338 |
\begin{align*}
x^{\prime }&=x-x y \\
y^{\prime }&=y+2 x y \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.044 |
|
| 339 |
\begin{align*}
x^{\prime }&=x-x^{2}-x y \\
y^{\prime }&=\frac {y}{2}-\frac {y^{2}}{4}-\frac {3 x y}{4} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.044 |
|
| 340 |
\begin{align*}
y^{\prime \prime \prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.044 |
|
| 341 |
\begin{align*}
y^{\prime \prime \prime }+y^{\prime \prime }-5 y^{\prime }+3 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.044 |
|
| 342 |
\begin{align*}
y^{\prime \prime \prime \prime }-2 y^{\prime \prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.044 |
|
| 343 |
\begin{align*}
t x^{\prime }&=t -2 x \\
y^{\prime } t&=t x+t y+2 x-t \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
0.044 |
|
| 344 |
\begin{align*}
x^{\left (5\right )}-x^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.044 |
|
| 345 |
\begin{align*}
x^{\prime }+y&=3 t \\
y^{\prime }-t x^{\prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
0.044 |
|
| 346 |
\begin{align*}
x^{\prime \prime \prime }+x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.044 |
|
| 347 |
\begin{align*}
x^{\prime \prime }&=y+4 \,{\mathrm e}^{-2 t} \\
y^{\prime \prime }&=x-{\mathrm e}^{-2 t} \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
0.044 |
|
| 348 |
\begin{align*}
y^{\prime \prime \prime }-3 x^{2} y^{\prime }+2 y x&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 1 \\
y^{\prime \prime }\left (0\right ) &= 0 \\
\end{align*} Series expansion around \(x=0\). |
✗ |
✓ |
✓ |
✗ |
0.044 |
|
| 349 |
\begin{align*}
3 x y^{\prime \prime \prime }-4 y x&=\cos \left (y\right ) \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.044 |
|
| 350 |
\begin{align*}
y^{\prime \prime \prime \prime }+y^{4}&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.044 |
|
| 351 |
\begin{align*}
y^{\prime \prime \prime \prime }-10 y^{\prime \prime \prime }+24 y^{\prime \prime }+10 y^{\prime }-25 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.044 |
|
| 352 |
\begin{align*}
y^{\prime \prime \prime }+3 y^{\prime \prime }+4 y^{\prime }-8 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.045 |
|
| 353 |
\begin{align*}
2 y^{\prime \prime \prime }+y^{\prime \prime }-4 y^{\prime }-3 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.045 |
|
| 354 |
\begin{align*}
x^{\prime }+4 x+2 y&=\frac {2}{{\mathrm e}^{t}-1} \\
6 x-y^{\prime }+3 y&=\frac {3}{{\mathrm e}^{t}-1} \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
0.045 |
|
| 355 |
\begin{align*}
h y^{2}+\operatorname {g1} y y^{\prime }+\operatorname {g0} {y^{\prime }}^{2}+\operatorname {f2} y y^{\prime \prime }+\operatorname {f1} y^{\prime } y^{\prime \prime }+\operatorname {f0} {y^{\prime \prime }}^{2}&=0 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
0.045 |
|
| 356 |
\begin{align*}
y^{\prime \prime \prime }-y x&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
y^{\prime \prime }\left (0\right ) &= 0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.045 |
|
| 357 |
\begin{align*}
x^{2} y^{\prime \prime \prime }-2 \left (x^{2}-x \right ) y^{\prime \prime }+\left (x^{2}-2 x +\frac {1}{4}-\nu ^{2}\right ) y^{\prime }+\left (\nu ^{2}-\frac {1}{4}\right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.045 |
|
| 358 |
\begin{align*}
x^{3} \left (x +1\right ) y^{\prime \prime \prime }-\left (2+4 x \right ) x^{2} y^{\prime \prime }+\left (4+10 x \right ) x y^{\prime }-4 \left (1+3 x \right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.045 |
|
| 359 |
\begin{align*}
x^{3} y^{\prime \prime \prime \prime }+2 x^{2} y^{\prime \prime \prime }-y^{\prime \prime } x +y^{\prime }-a^{4} x^{3} y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.045 |
|
| 360 |
\begin{align*}
x^{\prime }+\left (a x+b y\right ) f \left (t \right )&=g \left (t \right ) \\
y^{\prime }+\left (c x+d y\right ) f \left (t \right )&=h \left (t \right ) \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
0.045 |
|
| 361 |
\begin{align*}
x^{\prime }&=x+y-x \left (x^{2}+y^{2}\right ) \\
y^{\prime }&=-x+y-y \left (x^{2}+y^{2}\right ) \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.045 |
|
| 362 |
\begin{align*}
x^{\prime \prime }&=a \,{\mathrm e}^{2 x}-{\mathrm e}^{-x}+{\mathrm e}^{-2 x} \cos \left (y\right )^{2} \\
y^{\prime \prime }&={\mathrm e}^{-2 x} \sin \left (y\right ) \cos \left (y\right )-\frac {\sin \left (y\right )}{\cos \left (y\right )^{3}} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.045 |
|
| 363 |
\begin{align*}
y^{\prime \prime \prime }-7 y^{\prime \prime }+12 y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.045 |
|
| 364 |
\begin{align*}
y_{1}^{\prime }&={\mathrm e}^{-x} y_{1}-\sqrt {x +1}\, y_{2}+x^{2} \\
y_{2}^{\prime }&=\frac {y_{1}}{\left (x -2\right )^{2}} \\
\end{align*} With initial conditions \begin{align*}
y_{1} \left (0\right ) &= 0 \\
y_{2} \left (0\right ) &= 1 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.045 |
|
| 365 |
\begin{align*}
y_{1}^{\prime }&={\mathrm e}^{-x} y_{1}-\sqrt {x +1}\, y_{2}+x^{2} \\
y_{2}^{\prime }&=\frac {y_{1}}{\left (x -2\right )^{2}} \\
\end{align*} With initial conditions \begin{align*}
y_{1} \left (3\right ) &= 1 \\
y_{2} \left (3\right ) &= 0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.045 |
|
| 366 |
\begin{align*}
x^{\prime }&=\frac {t -y}{-x+y} \\
y^{\prime }&=\frac {x-t}{-x+y} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.045 |
|
| 367 |
\begin{align*}
x^{\prime }&=1+5 y \\
y^{\prime }&=1-6 x^{2} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.045 |
|
| 368 |
\begin{align*}
y^{\prime }&=1-\frac {1}{z} \\
z^{\prime }&=\frac {1}{-x +y} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.045 |
|
| 369 |
\begin{align*}
y^{\prime \prime \prime }-y^{\prime \prime }+y^{\prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.045 |
|
| 370 |
\begin{align*}
y^{\prime \prime \prime \prime }-3 y^{\prime \prime \prime }+3 y^{\prime \prime }-y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.046 |
|
| 371 |
\begin{align*}
y^{\prime \prime \prime \prime }+y^{\prime \prime \prime }-3 y^{\prime \prime }-5 y^{\prime }-2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.046 |
|
| 372 |
\begin{align*}
y^{\prime \prime \prime }+3 y^{\prime \prime }-4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.046 |
|
| 373 |
\begin{align*}
y^{\prime \prime \prime }-3 y^{\prime \prime }-4 y^{\prime }+12 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.046 |
|
| 374 |
\begin{align*}
y^{\prime \prime \prime }-7 y^{\prime }+6 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.046 |
|
| 375 |
\begin{align*}
4 y^{\prime \prime \prime }+2 y^{\prime \prime }-4 y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.046 |
|
| 376 |
\begin{align*}
-4 y+3 y^{\prime \prime }+y^{\prime \prime \prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.046 |
|
| 377 |
\begin{align*}
x^{\prime \prime }+x^{\prime }+y^{\prime }-2 y&=0 \\
x^{\prime }+x-y^{\prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
0.046 |
|
| 378 |
\begin{align*}
3 y x +\left (x^{2}+2\right ) y^{\prime }+4 y^{\prime \prime } x +x^{2} y^{\prime \prime \prime }&=f \left (x \right ) \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.046 |
|
| 379 |
\begin{align*}
-2 \left (x^{2}+4\right ) y+x \left (x^{2}+8\right ) y^{\prime }-4 x^{2} y^{\prime \prime }+x^{3} y^{\prime \prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.046 |
|
| 380 |
\begin{align*}
y^{\prime \prime \prime }-y^{\prime \prime }+9 y^{\prime }-9 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.046 |
|
| 381 |
\begin{align*}
\left (1+2 y+3 y^{2}\right ) y^{\prime \prime \prime }+6 y^{\prime } \left (y^{\prime \prime }+{y^{\prime }}^{2}+3 y y^{\prime \prime }\right )&=x \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
0.046 |
|
| 382 |
\begin{align*}
2 x y^{\prime \prime \prime }+3 \left (2 a x +k \right ) y^{\prime \prime }+6 \left (a k +b x \right ) y^{\prime }+\left (3 b k +2 c x \right ) y&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.046 |
|
| 383 |
\begin{align*}
x^{2} y^{\prime \prime \prime }-\left (x^{2}-2 x \right ) y^{\prime \prime }-\left (x^{2}+\nu ^{2}-\frac {1}{4}\right ) y^{\prime }+\left (x^{2}-2 x +\nu ^{2}-\frac {1}{4}\right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.046 |
|
| 384 |
\begin{align*}
x^{2} y^{\prime \prime \prime }-\left (x +\nu \right ) x y^{\prime \prime }+\nu \left (2 x +1\right ) y^{\prime }-\nu \left (x +1\right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
0.046 |
|
| 385 |
\begin{align*}
y^{\prime }+y^{\prime \prime \prime }-3 y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.046 |
|
| 386 |
\begin{align*}
2 y-y^{\prime }-2 y^{\prime \prime }+y^{\prime \prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.046 |
|
| 387 |
\begin{align*}
y^{\left (6\right )}+2 y^{\left (5\right )}+y^{\prime \prime \prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.046 |
|
| 388 |
\begin{align*}
x^{\prime }&=\sin \left (x\right ) \cos \left (y\right ) \\
y^{\prime }&=\cos \left (x\right ) \sin \left (y\right ) \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.046 |
|
| 389 |
\begin{align*}
x^{\prime \prime \prime \prime }-6 x^{\prime \prime }+5 x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.046 |
|
| 390 |
\begin{align*}
x^{\prime }&=x-x y \\
y^{\prime }&=-y+x y \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.046 |
|
| 391 |
\begin{align*}
x^{\prime }&=-x-x^{2}+y^{2} \\
y^{\prime }&=-y+2 x y \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
0.046 |
|
| 392 |
\begin{align*}
y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }-9 y^{\prime \prime }+8 y^{\prime }-2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.046 |
|
| 393 |
\begin{align*}
y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }+2 y^{\prime \prime }+2 y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.046 |
|
| 394 |
\begin{align*}
y^{\prime \prime \prime }+27 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.047 |
|
| 395 |
\begin{align*}
x^{\prime }&=-1-y-{\mathrm e}^{x} \\
y^{\prime }&=x^{2}+y \left ({\mathrm e}^{x}-1\right ) \\
z^{\prime }&=x+\sin \left (z\right ) \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.047 |
|
| 396 |
\begin{align*}
y^{\prime \prime \prime }+y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.047 |
|
| 397 |
\begin{align*}
-a^{4} x^{3} y-y^{\prime \prime } x +2 x^{2} y^{\prime \prime \prime }+x^{3} y^{\prime \prime \prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.047 |
|
| 398 |
\begin{align*}
y^{\prime \prime \prime }+3 y^{\prime }-4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.047 |
|
| 399 |
\begin{align*}
\left (t^{2}+1\right ) x^{\prime }&=-t x+y \\
\left (t^{2}+1\right ) y^{\prime }&=-x-t y \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
0.047 |
|
| 400 |
\begin{align*}
y_{1}^{\prime }&=\frac {5 y_{1}}{x}+\frac {4 y_{2}}{x}-2 x \\
y_{2}^{\prime }&=-\frac {6 y_{1}}{x}-\frac {5 y_{2}}{x}+5 x \\
\end{align*} With initial conditions \begin{align*}
y_{1} \left (-1\right ) &= 3 \\
y_{2} \left (-1\right ) &= -3 \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
0.047 |
|