| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 401 |
\begin{align*}
\left (y^{2}-x^{2} {y^{\prime }}^{2}+x^{2} y y^{\prime \prime }\right )^{2}-4 x y \left (-y+y^{\prime } x \right )^{3}&=0 \\
\end{align*} |
✗ |
✗ |
✓ |
✗ |
0.042 |
|
| 402 |
\begin{align*}
t x^{\prime }&=2 x-t \\
t^{3} y^{\prime }&=-x+t^{2} y+t \\
t^{4} z^{\prime }&=-x-t^{2} y+t^{3} z+t \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.042 |
|
| 403 |
\begin{align*}
y^{\prime \prime \prime }-6 y^{\prime \prime }+9 y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.042 |
|
| 404 |
\begin{align*}
x^{\prime \prime \prime }+x^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.042 |
|
| 405 |
\begin{align*}
x^{3} y^{\prime \prime \prime }-4 y^{\prime \prime }+10 y^{\prime }-12 y&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.042 |
|
| 406 |
\begin{align*}
x^{4} y^{\prime \prime \prime \prime }+4 x^{3} y^{\prime \prime \prime }+x^{2} y^{\prime \prime }+y^{\prime } x -y&=-\ln \left (x \right ) \\
\end{align*} Series expansion around \(x=0\). |
✗ |
✗ |
✓ |
✗ |
0.042 |
|
| 407 |
\begin{align*}
y^{\prime \prime \prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.042 |
|
| 408 |
\begin{align*}
y^{\prime \prime \prime \prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.042 |
|
| 409 |
\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*} |
✗ |
✓ |
✓ |
✓ |
0.043 |
|
| 410 |
\begin{align*}
y^{\prime \prime \prime }+3 y^{\prime \prime }-y^{\prime }-3 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.043 |
|
| 411 |
\begin{align*}
y^{\prime \prime \prime }+3 y^{\prime \prime }+3 y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.043 |
|
| 412 |
\begin{align*}
y-y^{\prime } x -y^{\prime \prime }+x y^{\prime \prime \prime }&=-x^{2}+1 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.043 |
|
| 413 |
\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*} |
✗ |
✓ |
✗ |
✗ |
0.043 |
|
| 414 |
\begin{align*}
y^{\prime \prime \prime }+y^{\prime } x +n y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.043 |
|
| 415 |
\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*} |
✗ |
✓ |
✓ |
✓ |
0.043 |
|
| 416 |
\begin{align*}
y_{1}^{\prime }&=\sin \left (x \right ) y_{1}+\sqrt {x}\, y_{2}+\ln \left (x \right ) \\
y_{2}^{\prime }&=\tan \left (x \right ) y_{1}-{\mathrm e}^{x} y_{2}+1 \\
\end{align*} With initial conditions \begin{align*}
y_{1} \left (1\right ) &= 1 \\
y_{2} \left (1\right ) &= -1 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.043 |
|
| 417 |
\begin{align*}
y_{1}^{\prime }&=\sin \left (x \right ) y_{1}+\sqrt {x}\, y_{2}+\ln \left (x \right ) \\
y_{2}^{\prime }&=\tan \left (x \right ) y_{1}-{\mathrm e}^{x} y_{2}+1 \\
\end{align*} With initial conditions \begin{align*}
y_{1} \left (2\right ) &= 1 \\
y_{2} \left (2\right ) &= -1 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.043 |
|
| 418 |
\begin{align*}
y^{\prime \prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.043 |
|
| 419 |
\begin{align*}
y^{\prime \prime \prime }+2 y^{\prime \prime }-y^{\prime }-2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.043 |
|
| 420 |
\begin{align*}
y^{\prime \prime \prime \prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.043 |
|
| 421 |
\begin{align*}
t \left (t -1\right ) y^{\prime \prime \prime \prime }+{\mathrm e}^{t} y^{\prime \prime }+4 t^{2} y&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.043 |
|
| 422 |
\begin{align*}
y^{\prime \prime \prime }+t y^{\prime \prime }+t^{2} y^{\prime }+t^{2} y&=\ln \left (t \right ) \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.043 |
|
| 423 |
\begin{align*}
t \left (t -1\right ) y^{\prime \prime \prime \prime }+{\mathrm e}^{t} y^{\prime \prime }+7 t^{2} y&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.043 |
|
| 424 |
\begin{align*}
y^{\prime \prime \prime }+y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.043 |
|
| 425 |
\begin{align*}
y^{\prime \prime \prime }+3 y^{\prime \prime }+3 y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.043 |
|
| 426 |
\begin{align*}
x^{2} y^{\prime }&=y \\
\end{align*} Series expansion around \(x=0\). |
✗ |
✗ |
✓ |
✗ |
0.043 |
|
| 427 |
\begin{align*}
\left (2 x -1\right )^{3} y^{\prime \prime \prime }+\left (2 x -1\right ) y^{\prime }-2 y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.043 |
|
| 428 |
\begin{align*}
x^{\prime \prime \prime }+5 x^{\prime \prime }+9 x^{\prime }+5 x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.043 |
|
| 429 |
\begin{align*}
2 y^{\prime \prime \prime }+y^{\prime \prime } x +2 y^{\prime }+y x&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
y^{\prime \prime }\left (0\right ) &= -1 \\
\end{align*} Series expansion around \(x=0\). |
✗ |
✓ |
✓ |
✗ |
0.043 |
|
| 430 |
\begin{align*}
y^{\prime \prime \prime }-6 y^{\prime \prime }+11 y^{\prime }-6 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.043 |
|
| 431 |
\begin{align*}
y^{\prime \prime \prime }-2 y^{\prime \prime }-5 y^{\prime }+6 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.043 |
|
| 432 |
\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 \(x=0\). |
✗ |
✓ |
✓ |
✗ |
0.043 |
|
| 433 |
\begin{align*}
x_{1}^{\prime }&=x_{2} \\
x_{2}^{\prime }&=\sin \left (x_{1}\right ) \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.043 |
|
| 434 |
\begin{align*}
y^{\prime \prime \prime }-3 y^{\prime \prime }+4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.044 |
|
| 435 |
\begin{align*}
a^{3} x^{3} y+3 a^{2} x^{2} y^{\prime }+3 a x y^{\prime \prime }+y^{\prime \prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.044 |
|
| 436 |
\begin{align*}
f \left (x \right ) y+y^{\prime }+f \left (x \right ) y^{\prime \prime }+y^{\prime \prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.044 |
|
| 437 |
\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*} |
✗ |
✓ |
✓ |
✗ |
0.044 |
|
| 438 |
\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*} |
✗ |
✓ |
✓ |
✗ |
0.044 |
|
| 439 |
\begin{align*}
x^{3} \left (x^{2}+1\right ) y^{\prime \prime \prime }-\left (4 x^{2}+2\right ) x^{2} y^{\prime \prime }+\left (10 x^{2}+4\right ) x y^{\prime }-4 \left (3 x^{2}+1\right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.044 |
|
| 440 |
\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 |
|
| 441 |
\begin{align*}
-4 y+6 y^{\prime }-4 y^{\prime \prime }+y^{\prime \prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.044 |
|
| 442 |
\begin{align*}
y^{\prime \prime \prime \prime }-8 y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.044 |
|
| 443 |
\begin{align*}
y^{\prime \prime \prime }+6 y^{\prime \prime }+11 y^{\prime }+6 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.044 |
|
| 444 |
\begin{align*}
t y^{\prime \prime \prime }+\sin \left (t \right ) y^{\prime \prime }+8 y&=\cos \left (t \right ) \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.044 |
|
| 445 |
\begin{align*}
y^{\prime \prime \prime \prime }-a^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.044 |
|
| 446 |
\begin{align*}
y^{\prime \prime \prime }+2 y^{\prime \prime }+y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.044 |
|
| 447 |
\begin{align*}
y_{1}^{\prime }&=3 \sec \left (t \right ) y_{1}+5 \sec \left (t \right ) y_{2} \\
y_{2}^{\prime }&=-\sec \left (t \right ) y_{1}-3 \sec \left (t \right ) y_{2} \\
\end{align*} With initial conditions \begin{align*}
y_{1} \left (0\right ) &= 2 \\
y_{2} \left (0\right ) &= 1 \\
\end{align*} |
✗ |
✓ |
✗ |
✓ |
0.044 |
|
| 448 |
\begin{align*}
y^{\prime \prime \prime }&=y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.045 |
|
| 449 |
\begin{align*}
-2 y x +\left (x^{2}+2\right ) y^{\prime }-2 y^{\prime \prime } x +\left (x^{2}+2\right ) y^{\prime \prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.045 |
|
| 450 |
\begin{align*}
-2 y+2 y^{\prime } x -x^{2} y^{\prime \prime }+\left (x^{2}-2 x +2\right ) y^{\prime \prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.045 |
|
| 451 |
\begin{align*}
-4 \left (1+3 x \right ) y+2 x \left (2+5 x \right ) y^{\prime }-2 x^{2} \left (2 x +1\right ) y^{\prime \prime }+x^{3} \left (x +1\right ) y^{\prime \prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.045 |
|
| 452 |
\begin{align*}
y-2 y^{\prime \prime }+y^{\prime \prime \prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.045 |
|
| 453 |
\begin{align*}
y^{\prime \prime \prime }-6 y^{\prime \prime }+12 y^{\prime }-8 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.045 |
|
| 454 |
\begin{align*}
2 y-y^{\prime }-2 y^{\prime \prime }+y^{\prime \prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.045 |
|
| 455 |
\begin{align*}
y^{\prime }-y^{\prime \prime }+y^{\prime \prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.045 |
|
| 456 |
\begin{align*}
2 y^{\prime \prime \prime }-3 y^{\prime \prime }+y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.045 |
|
| 457 |
\begin{align*}
\left (x^{2}-25\right ) y^{\left (6\right )}+x^{2} y^{\prime \prime }+5 y&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.045 |
|
| 458 |
\begin{align*}
t x^{\prime }+6 x-y-3 z&=0 \\
y^{\prime } t +23 x-6 y-9 z&=0 \\
t z^{\prime }+x+y-2 z&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
0.045 |
|
| 459 |
\begin{align*}
y^{2}+\left (2 y x -1\right ) y^{\prime }+y^{\prime \prime } x +x^{2} y^{\prime \prime \prime }&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.045 |
|
| 460 |
\begin{align*}
x^{\prime }&=x \left (3-y\right ) \\
y^{\prime }&=y \left (x-5\right ) \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.045 |
|
| 461 |
\begin{align*}
y^{\prime \prime \prime }-y^{\prime \prime }+y^{\prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.045 |
|
| 462 |
\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 |
|
| 463 |
\begin{align*}
y^{\prime \prime \prime \prime }-3 y^{\prime \prime \prime }+3 y^{\prime \prime }-y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.046 |
|
| 464 |
\begin{align*}
2 y^{\prime \prime \prime }-y^{\prime \prime }-5 y^{\prime }-2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.046 |
|
| 465 |
\begin{align*}
x^{2} y^{\prime }+y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✗ |
✗ |
✓ |
✗ |
0.046 |
|
| 466 |
\begin{align*}
x^{\prime }&=-b x y+m \\
y^{\prime }&=b x y-g y \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.046 |
|
| 467 |
\begin{align*}
x^{\prime }&=-x-x \,y^{2} \\
y^{\prime }&=-y-y \,x^{2} \\
z^{\prime }&=1-z+x^{2} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.046 |
|
| 468 |
\begin{align*}
x^{\prime }&=x \,y^{2}-x \\
y^{\prime }&=x \sin \left (\pi y\right ) \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.046 |
|
| 469 |
\begin{align*}
x_{1}^{\prime }&=\frac {x_{1}}{t} \\
x_{2}^{\prime }&=x_{2} \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
0.046 |
|
| 470 |
\begin{align*}
y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.046 |
|
| 471 |
\begin{align*}
x_{1}^{\prime }&=-4 x_{1}-2 x_{2}+\frac {2}{{\mathrm e}^{t}-1} \\
x_{2}^{\prime }&=6 x_{1}+3 x_{2}-\frac {3}{{\mathrm e}^{t}-1} \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
0.046 |
|
| 472 |
\begin{align*}
y^{\prime }-y^{\prime \prime }+y^{\prime \prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.046 |
|
| 473 |
\begin{align*}
4 y+4 y^{\prime }+y^{\prime \prime }+y^{\prime \prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.046 |
|
| 474 |
\begin{align*}
2 a^{2} y-a^{2} y^{\prime }-2 y^{\prime \prime }+y^{\prime \prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.046 |
|
| 475 |
\begin{align*}
y^{\prime \prime \prime }&=a y^{\prime \prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.046 |
|
| 476 |
\begin{align*}
y^{\prime \prime \prime }-5 y^{\prime \prime }+6 y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.046 |
|
| 477 |
\begin{align*}
y^{\prime \prime \prime }-x^{3} y^{\prime }-x^{2} y-x^{3}&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.046 |
|
| 478 |
\begin{align*}
y^{\prime \prime \prime }-x^{2} y^{\prime \prime }+\left (a +b -1\right ) x y^{\prime }-a b y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.046 |
|
| 479 |
\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 |
|
| 480 |
\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 |
|
| 481 |
\begin{align*}
x^{\prime \prime \prime }-8 x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.046 |
|
| 482 |
\begin{align*}
y^{\left (5\right )}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.046 |
|
| 483 |
\begin{align*}
y^{\prime }+y^{\prime \prime \prime }-3 y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.046 |
|
| 484 |
\begin{align*}
{y^{\prime \prime }}^{2}-2 y^{\prime \prime } y^{\prime }+y^{2}&=0 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
0.046 |
|
| 485 |
\begin{align*}
y^{\prime \prime \prime }&=3 y y^{\prime } \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 1 \\
y^{\prime \prime }\left (0\right ) &= {\frac {3}{2}} \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
0.046 |
|
| 486 |
\begin{align*}
y^{\prime \prime \prime }-2 y^{\prime \prime }+2 y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.046 |
|
| 487 |
\begin{align*}
x^{\prime }&=-x+y+x^{2} \\
y^{\prime }&=y-2 x y \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.046 |
|
| 488 |
\begin{align*}
y^{\prime \prime \prime \prime }+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.046 |
|
| 489 |
\begin{align*}
y^{\prime \prime \prime \prime }-y^{\prime \prime \prime }-9 y^{\prime \prime }-11 y^{\prime }-4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.046 |
|
| 490 |
\begin{align*}
y^{\prime \prime \prime \prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.046 |
|
| 491 |
\begin{align*}
x^{\prime }&=x-4 x y \\
y^{\prime }&=-2 y+x y \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.046 |
|
| 492 |
\begin{align*}
y^{\prime }+y-x^{\prime \prime }+x&={\mathrm e}^{t} \\
y^{\prime }-x^{\prime }+x&={\mathrm e}^{-t} \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
0.046 |
|
| 493 |
\begin{align*}
-y-2 y^{\prime }+2 y^{\prime \prime \prime }+y^{\prime \prime \prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.046 |
|
| 494 |
\begin{align*}
y^{\prime \prime \prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.046 |
|
| 495 |
\begin{align*}
y^{\left (5\right )}-y^{\prime }-\frac {4 y}{x}&=0 \\
\end{align*} |
✗ |
✗ |
✓ |
✓ |
0.046 |
|
| 496 |
\begin{align*}
y_{1}^{\prime }&=\frac {4 t y_{1}}{t^{2}+1}+\frac {6 y_{2} t}{t^{2}+1}-3 t \\
y_{2}^{\prime }&=-\frac {2 t y_{1}}{t^{2}+1}-\frac {4 y_{2} t}{t^{2}+1}+t \\
\end{align*} With initial conditions \begin{align*}
y_{1} \left (1\right ) &= 1 \\
y_{2} \left (1\right ) &= -1 \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
0.046 |
|
| 497 |
\begin{align*}
x^{\prime }&=a x-b x y \\
y^{\prime }&=-c y+d x y \\
z^{\prime }&=z+x^{2}+y^{2} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.047 |
|
| 498 |
\begin{align*}
y^{\prime \prime \prime \prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.047 |
|
| 499 |
\begin{align*}
y^{\prime \prime \prime }+4 y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.047 |
|
| 500 |
\begin{align*}
y^{\prime \prime \prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.047 |
|