| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 501 |
\begin{align*}
y_{1}^{\prime }&=\frac {y_{1}}{t}+1 \\
y_{2}^{\prime }&=\frac {y_{2}}{t}+t \\
\end{align*} With initial conditions \begin{align*}
y_{1} \left (1\right ) &= 1 \\
y_{2} \left (1\right ) &= 2 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.051 |
|
| 502 |
\begin{align*}
y^{\left (6\right )}+18 y^{\prime \prime \prime \prime }+81 y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.051 |
|
| 503 |
\begin{align*}
y^{\prime \prime \prime \prime }+18 y^{\prime \prime }+81 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.052 |
|
| 504 |
\begin{align*}
9 y^{\prime \prime \prime }+11 y^{\prime \prime }+4 y^{\prime }-14 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.052 |
|
| 505 |
\begin{align*}
x^{\prime }&=t x-{\mathrm e}^{t} y+\cos \left (t \right ) \\
y^{\prime }&={\mathrm e}^{-t} x+t^{2} y-\sin \left (t \right ) \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
0.052 |
|
| 506 |
\begin{align*}
2 x^{3} y+\left (-2 x^{3}+6\right ) y^{\prime }+x \left (-x^{2}+6\right ) y^{\prime \prime }+x^{2} y^{\prime \prime \prime }&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.052 |
|
| 507 |
\begin{align*}
y^{\prime \prime \prime \prime }-6 y^{\prime \prime \prime }+13 y^{\prime \prime }-12 y^{\prime }+4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.052 |
|
| 508 |
\begin{align*}
x^{2} y^{\prime \prime \prime }-3 \left (x -m \right ) x y^{\prime \prime }+\left (2 x^{2}+4 \left (n -m \right ) x +m \left (2 m -1\right )\right ) y^{\prime }-2 n \left (2 x -2 m +1\right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.052 |
|
| 509 |
\begin{align*}
x^{4} y^{\prime \prime \prime \prime }+4 x^{3} y^{\prime \prime \prime }-\left (4 n^{2}+3\right ) x^{2} y^{\prime \prime }+\left (12 n^{2}-3\right ) x y^{\prime }-\left (4 x^{4}+12 n^{2}-3\right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.052 |
|
| 510 |
\begin{align*}
\left (x^{2}+y^{2}-t^{2}\right ) x^{\prime }&=-2 t x \\
\left (x^{2}+y^{2}-t^{2}\right ) y^{\prime }&=-2 t y \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.052 |
|
| 511 |
\begin{align*}
2 y-y^{\prime }-2 y^{\prime \prime }+y^{\prime \prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.052 |
|
| 512 |
\begin{align*}
y^{\left (5\right )}+4 y^{\prime \prime \prime \prime }+5 y^{\prime \prime \prime }-6 y^{\prime }-4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.052 |
|
| 513 |
\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*} |
✗ |
✓ |
✓ |
✓ |
0.052 |
|
| 514 |
\begin{align*}
y^{\prime \prime \prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.052 |
|
| 515 |
\begin{align*}
x^{\prime \prime }-3 x-4 y&=0 \\
x+y^{\prime \prime }+y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
0.052 |
|
| 516 |
\begin{align*}
3 y x +\left (x^{2}+2\right ) y^{\prime }+4 y^{\prime \prime } x +x^{2} y^{\prime \prime \prime }&=2 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.052 |
|
| 517 |
\begin{align*}
x^{\prime }&=2 x y \\
y^{\prime }&=3 y^{2}-x^{2} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.052 |
|
| 518 |
\begin{align*}
y^{\prime \prime \prime \prime }-3 y^{\prime \prime \prime }+3 y^{\prime \prime }-y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.053 |
|
| 519 |
\begin{align*}
y^{\prime \prime \prime }+3 y^{\prime \prime }+4 y^{\prime }-8 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.053 |
|
| 520 |
\begin{align*}
2 y^{\prime \prime \prime \prime }-3 y^{\prime \prime \prime }-20 y^{\prime \prime }+27 y^{\prime }+18 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.053 |
|
| 521 |
\begin{align*}
y^{\left (5\right )}+3 y^{\prime \prime \prime \prime }-15 y^{\prime \prime \prime }-19 y^{\prime \prime }+30 y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.053 |
|
| 522 |
\begin{align*}
y^{\prime \prime \prime }+3 y^{\prime \prime }-4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.053 |
|
| 523 |
\begin{align*}
y^{\prime \prime \prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.053 |
|
| 524 |
\begin{align*}
y^{\prime \prime \prime }-8 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.053 |
|
| 525 |
\begin{align*}
y^{\prime \prime \prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.053 |
|
| 526 |
\begin{align*}
y^{\prime \prime \prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.053 |
|
| 527 |
\begin{align*}
x^{2} \left (x^{4}+2 x^{2}+2 x +1\right ) y^{\prime \prime \prime }-\left (2 x^{6}+3 x^{4}-6 x^{2}-6 x -1\right ) y^{\prime \prime }+\left (x^{6}-6 x^{3}-15 x^{2}-12 x -2\right ) y^{\prime }+\left (x^{4}+4 x^{3}+8 x^{2}+6 x +1\right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.053 |
|
| 528 |
\begin{align*}
x y^{\prime \prime \prime \prime }-\left (6 x^{2}+1\right ) y^{\prime \prime \prime }+12 x^{3} y^{\prime \prime }-\left (9 x^{2}-7\right ) x^{2} y^{\prime }+2 \left (x^{2}-3\right ) x^{3} y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.053 |
|
| 529 |
\begin{align*}
x^{\prime }&=y+\frac {x \left (1-x^{2}-y^{2}\right )}{\sqrt {x^{2}+y^{2}}} \\
y^{\prime }&=-x+\frac {y \left (1-x^{2}-y^{2}\right )}{\sqrt {x^{2}+y^{2}}} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.053 |
|
| 530 |
\begin{align*}
y^{\prime \prime \prime \prime }-8 y^{\prime \prime }+16 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.053 |
|
| 531 |
\begin{align*}
y^{\prime \prime \prime \prime }-16 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.053 |
|
| 532 |
\begin{align*}
y^{\prime \prime \prime }+216 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.053 |
|
| 533 |
\begin{align*}
x^{\prime }&=\cos \left (x\right )^{2} \cos \left (y\right )^{2}+\sin \left (x\right )^{2} \cos \left (y\right )^{2} \\
y^{\prime }&=-\frac {\sin \left (2 x\right ) \sin \left (2 y\right )}{2} \\
\end{align*} With initial conditions \begin{align*}
x \left (0\right ) &= 0 \\
y \left (0\right ) &= 0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.053 |
|
| 534 |
\begin{align*}
y^{\prime \prime \prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.053 |
|
| 535 |
\begin{align*}
y^{\prime \prime \prime \prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.053 |
|
| 536 |
\begin{align*}
y^{\prime \prime \prime }-y^{\prime \prime } x -y^{\prime }+y x&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.053 |
|
| 537 |
\begin{align*}
y^{\prime \prime \prime \prime }-a^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.053 |
|
| 538 |
\begin{align*}
y^{\prime \prime \prime }+x^{2} y&={\mathrm e}^{x} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.053 |
|
| 539 |
\begin{align*}
x^{2} y^{\prime \prime }+3 y^{\prime } x +y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.053 |
|
| 540 |
\begin{align*}
y^{\prime \prime \prime }-4 y^{\prime \prime }+4 y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.053 |
|
| 541 |
\begin{align*}
6 y^{\prime \prime \prime \prime }+5 y^{\prime \prime \prime }+25 y^{\prime \prime }+20 y^{\prime }+4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.054 |
|
| 542 |
\begin{align*}
y^{\left (5\right )}-3 y^{\prime \prime \prime \prime }-5 y^{\prime \prime \prime }+15 y^{\prime \prime }+4 y^{\prime }-12 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.054 |
|
| 543 |
\begin{align*}
y^{\prime \prime \prime \prime }+5 y^{\prime \prime }+6 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.054 |
|
| 544 |
\begin{align*}
a^{4} x^{4} y+4 a^{3} x^{3} y^{\prime }+6 a^{2} x^{2} y^{\prime \prime }+4 a x y^{\prime \prime \prime }+y^{\prime \prime \prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.054 |
|
| 545 |
\begin{align*}
y^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.054 |
|
| 546 |
\begin{align*}
y^{\prime \prime \prime }-\lambda y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.054 |
|
| 547 |
\begin{align*}
y^{\prime \prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.054 |
|
| 548 |
\begin{align*}
y^{\prime \prime \prime }+y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.054 |
|
| 549 |
\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*} |
✗ |
✗ |
✗ |
✗ |
0.054 |
|
| 550 |
\begin{align*}
x^{\prime \prime \prime \prime }+x^{\prime \prime \prime }-x^{\prime }-x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.054 |
|
| 551 |
\begin{align*}
y^{\prime \prime \prime }&=\frac {24 x +24 y}{x^{3}} \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
0.054 |
|
| 552 |
\begin{align*}
x^{\prime }+3 y^{\prime }&=x y \\
3 x^{\prime }-y^{\prime }&=\sin \left (t \right ) \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
0.054 |
|
| 553 |
\begin{align*}
y^{\prime \prime \prime }+3 y^{\prime \prime }-4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.054 |
|
| 554 |
\begin{align*}
y_{1}^{\prime }&=y_{1}+y_{2} \\
y_{2}^{\prime }&=\frac {y_{1}}{t}+\frac {y_{2}}{t} \\
\end{align*} With initial conditions \begin{align*}
y_{1} \left (1\right ) &= -3 \\
y_{2} \left (1\right ) &= 4 \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
0.054 |
|
| 555 |
\begin{align*}
y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }+6 y^{\prime \prime }-8 y^{\prime }+8 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.055 |
|
| 556 |
\begin{align*}
y^{\prime \prime \prime }+y^{\prime \prime }-10 y^{\prime }+8 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.055 |
|
| 557 |
\begin{align*}
-8 y+3 \left (x +1\right ) y^{\prime }+\left (x +1\right )^{2} y^{\prime \prime }+\left (x +1\right )^{3} y^{\prime \prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.055 |
|
| 558 |
\begin{align*}
y^{\prime \prime \prime \prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.055 |
|
| 559 |
\begin{align*}
2 \left (x^{2}+1\right ) {y^{\prime \prime }}^{2}-x \left (x +4 y^{\prime }\right ) y^{\prime \prime }+2 \left (x +y^{\prime }\right ) y^{\prime }-2 y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.055 |
|
| 560 |
\begin{align*}
y^{\prime \prime \prime }+y^{\prime \prime }&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
y^{\prime \prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.055 |
|
| 561 |
\begin{align*}
\left (x -1\right ) y^{\prime \prime \prime \prime }+\left (x +5\right ) y^{\prime \prime }+\tan \left (x \right ) y&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.055 |
|
| 562 |
\begin{align*}
y^{\prime \prime \prime \prime }+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.055 |
|
| 563 |
\begin{align*}
y^{\prime \prime \prime \prime }-a^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.055 |
|
| 564 |
\begin{align*}
y^{\prime \prime \prime }+2 y^{\prime \prime }-15 y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.055 |
|
| 565 |
\begin{align*}
x^{\prime \prime \prime }-2 x^{\prime \prime }-3 x^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.055 |
|
| 566 |
\begin{align*}
4 y^{\prime \prime \prime }-13 y^{\prime }-6 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.055 |
|
| 567 |
\begin{align*}
4 y^{\prime \prime \prime }-27 y^{\prime }+27 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.055 |
|
| 568 |
\begin{align*}
y_{1}^{\prime }&=\frac {y_{1}}{t}+y_{2} \\
y_{2}^{\prime }&=-y_{1}+\frac {y_{2}}{t} \\
\end{align*} With initial conditions \begin{align*}
y_{1} \left (\pi \right ) &= 1 \\
y_{2} \left (\pi \right ) &= -1 \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
0.055 |
|
| 569 |
\begin{align*}
y^{\prime \prime \prime \prime }&=16 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.055 |
|
| 570 |
\begin{align*}
6 y^{\prime \prime \prime \prime }+11 y^{\prime \prime }+4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.056 |
|
| 571 |
\begin{align*}
y^{\left (5\right )}+y^{\prime \prime \prime \prime }-13 y^{\prime \prime \prime }-13 y^{\prime \prime }+36 y^{\prime }+36 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.056 |
|
| 572 |
\begin{align*}
y^{\prime \prime \prime }-3 y^{\prime \prime }-y^{\prime }+3 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.056 |
|
| 573 |
\begin{align*}
x_{1}^{\prime }&=-\tan \left (t \right ) x_{1}+3 \cos \left (t \right )^{2} \\
x_{2}^{\prime }&=x_{1}+\tan \left (t \right ) x_{2}+2 \sin \left (t \right ) \\
\end{align*} With initial conditions \begin{align*}
x_{1} \left (0\right ) &= 4 \\
x_{2} \left (0\right ) &= 0 \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
0.056 |
|
| 574 |
\begin{align*}
y^{\prime \prime \prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.056 |
|
| 575 |
\begin{align*}
y^{\prime \prime \prime }-8 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.056 |
|
| 576 |
\begin{align*}
y^{\left (6\right )}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.056 |
|
| 577 |
\begin{align*}
y^{\prime \prime \prime \prime }-16 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.056 |
|
| 578 |
\begin{align*}
x^{2} y^{\prime \prime }-2 y^{\prime } x +2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.056 |
|
| 579 |
\begin{align*}
a t x^{\prime }&=b c \left (y-z\right ) \\
b t y^{\prime }&=c a \left (z-x\right ) \\
c t z^{\prime }&=a b \left (x-y\right ) \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
0.056 |
|
| 580 |
\begin{align*}
y^{\prime \prime \prime \prime }-a^{4} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.056 |
|
| 581 |
\begin{align*}
y^{\prime \prime \prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.056 |
|
| 582 |
\begin{align*}
y^{\prime \prime \prime \prime }-16 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.056 |
|
| 583 |
\begin{align*}
y+2 y^{\prime \prime }+y^{\prime \prime \prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.056 |
|
| 584 |
\begin{align*}
\left (2 x -1\right )^{3} y^{\prime \prime \prime }+\left (2 x -1\right ) y^{\prime }-2 y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.056 |
|
| 585 |
\begin{align*}
x^{\prime }&=x+4 y-y^{2} \\
y^{\prime }&=6 x-y+2 x y \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.056 |
|
| 586 |
\begin{align*}
w^{\prime \prime }-y+2 z&=3 \,{\mathrm e}^{-t} \\
-2 w^{\prime }+2 y^{\prime }+z&=0 \\
2 w^{\prime }-2 y+z^{\prime }+2 z^{\prime \prime }&=0 \\
\end{align*} With initial conditions \begin{align*}
y \left (0\right ) &= 2 \\
z \left (0\right ) &= 2 \\
z^{\prime }\left (0\right ) &= -2 \\
w \left (0\right ) &= 1 \\
w^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.056 |
|
| 587 |
\begin{align*}
x y^{\prime \prime \prime }+2 y^{\prime \prime } x -y^{\prime } x -2 y x&=1 \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
0.056 |
|
| 588 |
\begin{align*}
x_{1}^{\prime }&=2 \sin \left (t \right ) x_{1}+\ln \left (t \right ) x_{2} \\
x_{2}^{\prime }&=\frac {x_{1}}{-2+t}+\frac {{\mathrm e}^{t} x_{2}}{1+t} \\
\end{align*} With initial conditions \begin{align*}
x_{1} \left (3\right ) &= 0 \\
x_{2} \left (3\right ) &= 0 \\
\end{align*} |
✗ |
✓ |
✗ |
✓ |
0.056 |
|
| 589 |
\begin{align*}
2 y^{\prime \prime \prime \prime }-3 y^{\prime \prime \prime }-2 y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.056 |
|
| 590 |
\begin{align*}
y_{1}^{\prime }&=-\frac {y_{2}}{t}+1 \\
y_{2}^{\prime }&=\frac {y_{1}}{t}+\frac {2 y_{2}}{t}-1 \\
\end{align*} With initial conditions \begin{align*}
y_{1} \left (1\right ) &= 2 \\
y_{2} \left (1\right ) &= 0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.056 |
|
| 591 |
\begin{align*}
y^{\prime \prime \prime \prime }-13 y^{\prime \prime }+36 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.057 |
|
| 592 |
\begin{align*}
-3 y+y^{\prime }+y^{\prime \prime }+y^{\prime \prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.057 |
|
| 593 |
\begin{align*}
10 f^{\prime }\left (x \right ) y^{\prime }+3 y \left (3 f \left (x \right )^{2}+f^{\prime \prime }\left (x \right )\right )+10 f \left (x \right ) y^{\prime \prime }+y^{\prime \prime \prime \prime }&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.057 |
|
| 594 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime } x +\left (4 x^{2}+2\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.057 |
|
| 595 |
\begin{align*}
y^{\prime \prime \prime }+x^{2 c -2} y^{\prime }+\left (c -1\right ) x^{2 c -3} y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.057 |
|
| 596 |
\begin{align*}
2 \left (x -\operatorname {a1} \right ) \left (x -\operatorname {a2} \right ) \left (x -\operatorname {a3} \right ) y^{\prime \prime \prime }+\left (9 x^{2}-6 \left (\operatorname {a1} +\operatorname {a2} +\operatorname {a3} \right ) x +3 \operatorname {a1} \operatorname {a2} +3 \operatorname {a1} \operatorname {a3} +3 \operatorname {a2} \operatorname {a3} \right ) y^{\prime \prime }-2 \left (\left (n^{2}+n -3\right ) x +b \right ) y^{\prime }-n \left (n +1\right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.057 |
|
| 597 |
\begin{align*}
x^{4} y^{\prime \prime \prime \prime }+6 x^{3} y^{\prime \prime \prime }+\left (4 x^{4}+\left (-\rho ^{2}-\sigma ^{2}+7\right ) x^{2}\right ) y^{\prime \prime }+\left (16 x^{3}+\left (-\rho ^{2}-\sigma ^{2}+1\right ) x \right ) y^{\prime }+\left (\rho ^{2} \sigma ^{2}+8 x^{2}\right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.057 |
|
| 598 |
\begin{align*}
a_{1} x^{\prime \prime }+b_{1} x^{\prime }+c_{1} x-A y^{\prime }&=B \,{\mathrm e}^{i \omega t} \\
a_{2} y^{\prime \prime }+b_{2} y^{\prime }+c_{2} y+A x^{\prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.057 |
|
| 599 |
\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 }&=x^{4}+12 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.057 |
|
| 600 |
\begin{align*}
y^{\prime \prime \prime \prime }+8 y^{\prime \prime }+16 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.057 |
|