| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 501 |
\begin{align*}
4 y-2 y^{\prime }+y^{\prime \prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.047 |
|
| 502 |
\begin{align*}
-3 y+y^{\prime }+y^{\prime \prime }+y^{\prime \prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.047 |
|
| 503 |
\begin{align*}
2 y+\left (1-2 x \right ) y^{\prime }+\left (1-2 x \right )^{3} y^{\prime \prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.047 |
|
| 504 |
\begin{align*}
-4 \left (3 x^{2}+1\right ) y+2 x \left (5 x^{2}+2\right ) y^{\prime }-2 x^{2} \left (2 x^{2}+1\right ) y^{\prime \prime }+x^{3} \left (x^{2}+1\right ) y^{\prime \prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.047 |
|
| 505 |
\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*} |
✗ |
✓ |
✓ |
✗ |
0.047 |
|
| 506 |
\begin{align*}
x&=t x^{\prime }+f \left (x^{\prime }, y^{\prime }\right ) \\
y&=y^{\prime } t +g \left (x^{\prime }, y^{\prime }\right ) \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
0.047 |
|
| 507 |
\begin{align*}
y^{\prime \prime \prime \prime }+\left (-3-i\right ) y^{\prime \prime \prime }+\left (4+3 i\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.047 |
|
| 508 |
\begin{align*}
{y^{\prime \prime }}^{2}-5 y^{\prime \prime } y^{\prime }+4 y^{2}&=0 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
0.047 |
|
| 509 |
\begin{align*}
x^{\prime }&=x^{2} \\
y^{\prime }&={\mathrm e}^{t} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.047 |
|
| 510 |
\begin{align*}
y^{\prime \prime \prime }+y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.047 |
|
| 511 |
\begin{align*}
y^{\prime \prime \prime \prime }+y^{\prime \prime \prime }-3 y^{\prime \prime }-5 y^{\prime }-2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.047 |
|
| 512 |
\begin{align*}
y^{\prime \prime \prime }-6 y^{\prime \prime }+11 y^{\prime }-6 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.047 |
|
| 513 |
\begin{align*}
y^{\prime \prime \prime }-y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.047 |
|
| 514 |
\begin{align*}
y^{\prime \prime \prime }-2 y^{\prime \prime }-25 y^{\prime }+50 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.047 |
|
| 515 |
\begin{align*}
y^{\prime \prime \prime }+3 y^{\prime \prime }-54 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.048 |
|
| 516 |
\begin{align*}
x^{\prime }&=6 x-6 x^{2}-2 x y \\
y^{\prime }&=4 y-4 y^{2}-2 x y \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.048 |
|
| 517 |
\begin{align*}
y^{\prime \prime \prime }+2 y^{\prime \prime }-5 y^{\prime }-6 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.048 |
|
| 518 |
\begin{align*}
4 y^{\prime \prime \prime }-3 y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.048 |
|
| 519 |
\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*} |
✗ |
✓ |
✓ |
✗ |
0.048 |
|
| 520 |
\begin{align*}
y^{\left (6\right )}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.048 |
|
| 521 |
\begin{align*}
y^{2}-\left (1-2 y x \right ) y^{\prime }+y^{\prime \prime } x +x^{2} y^{\prime \prime \prime }&=f \left (x \right ) \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.048 |
|
| 522 |
\begin{align*}
y^{\prime \prime \prime \prime }-a^{2} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.048 |
|
| 523 |
\begin{align*}
y_{1}^{\prime }&=3 y_{1}+x y_{3} \\
y_{2}^{\prime }&=y_{2}+x^{3} y_{3} \\
y_{3}^{\prime }&=2 x y_{1}-y_{2}+{\mathrm e}^{x} y_{3} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.048 |
|
| 524 |
\begin{align*}
y^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.048 |
|
| 525 |
\begin{align*}
y^{\prime \prime \prime }+3 y^{\prime }-4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.048 |
|
| 526 |
\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*} |
✗ |
✓ |
✓ |
✗ |
0.048 |
|
| 527 |
\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*} |
✗ |
✓ |
✓ |
✗ |
0.048 |
|
| 528 |
\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*} |
✗ |
✗ |
✗ |
✗ |
0.048 |
|
| 529 |
\begin{align*}
y^{\prime \prime \prime }-8 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.048 |
|
| 530 |
\begin{align*}
\left (x -4\right ) y^{\prime \prime \prime \prime }+\left (x +1\right ) y^{\prime \prime }+\tan \left (x \right ) y&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.048 |
|
| 531 |
\begin{align*}
y^{\prime \prime \prime }+t y^{\prime \prime }+5 t^{2} y^{\prime }+2 t^{3} y&=\ln \left (t \right ) \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.048 |
|
| 532 |
\begin{align*}
y^{\prime \prime \prime }-3 y^{\prime \prime }+4 y^{\prime }-2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.048 |
|
| 533 |
\begin{align*}
y^{2} y^{\prime \prime \prime }-\left (3 y y^{\prime }+2 x y^{2}\right ) y^{\prime \prime }+\left (2 {y^{\prime }}^{2}+2 y y^{\prime } x +3 y^{2} x^{2}\right ) y^{\prime }+x^{3} y^{3}&=0 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
0.048 |
|
| 534 |
\begin{align*}
y^{\prime \prime \prime \prime }-m^{2} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.048 |
|
| 535 |
\begin{align*}
a^{2} y^{\prime \prime }+y^{\prime \prime \prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.048 |
|
| 536 |
\begin{align*}
x^{\prime \prime }+y^{\prime }+6 x&=0 \\
y^{\prime \prime }-x^{\prime }+6 y&=0 \\
\end{align*} With initial conditions \begin{align*}
x^{\prime }\left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
0.048 |
|
| 537 |
\begin{align*}
y^{\prime \prime \prime \prime }-5 y^{\prime \prime }+4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.048 |
|
| 538 |
\begin{align*}
y^{\prime \prime \prime \prime }+y^{\prime \prime \prime }-3 y^{\prime \prime }-5 y^{\prime }-2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.049 |
|
| 539 |
\begin{align*}
y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.049 |
|
| 540 |
\begin{align*}
2 y^{\prime \prime \prime }+3 y^{\prime \prime }-2 y^{\prime }-3 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.049 |
|
| 541 |
\begin{align*}
27 y^{\prime \prime \prime }+27 y^{\prime \prime }+9 y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.049 |
|
| 542 |
\begin{align*}
x^{\prime }&=x-x^{3}-x y \\
y^{\prime }&=2 y-y^{5}-y \,x^{4} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.049 |
|
| 543 |
\begin{align*}
x^{\prime }&=x^{2}+y^{2}+1 \\
y^{\prime }&=x^{2}-y^{2} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.049 |
|
| 544 |
\begin{align*}
-15 y-7 y^{\prime }+y^{\prime \prime }+y^{\prime \prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.049 |
|
| 545 |
\begin{align*}
y^{\prime \prime \prime }-3 y^{\prime \prime }+4 y^{\prime }-2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.049 |
|
| 546 |
\begin{align*}
y^{\prime \prime \prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.049 |
|
| 547 |
\begin{align*}
y^{\prime \prime \prime }-3 y^{\prime }-2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.049 |
|
| 548 |
\begin{align*}
y^{\prime \prime \prime }-\left (6 k^{2} \sin \left (x \right )^{2}+a \right ) y^{\prime }+b y&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.049 |
|
| 549 |
\begin{align*}
y^{\prime \prime \prime }-2 y^{\prime \prime }-3 y^{\prime }+10 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.049 |
|
| 550 |
\begin{align*}
x^{2} y^{\prime \prime \prime \prime }+\left (2 n -2 \nu +4\right ) x y^{\prime \prime \prime }+\left (n -\nu +1\right ) \left (n -\nu +2\right ) y^{\prime \prime }-\frac {b^{4} y}{16}&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.049 |
|
| 551 |
\begin{align*}
-y-2 y^{\prime }+2 y^{\prime \prime \prime }+y^{\prime \prime \prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.049 |
|
| 552 |
\begin{align*}
y^{\prime \prime \prime \prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.049 |
|
| 553 |
\begin{align*}
y^{\prime \prime \prime \prime }+5 y^{\prime \prime }+4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.049 |
|
| 554 |
\begin{align*}
y^{\prime \prime \prime \prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.049 |
|
| 555 |
\begin{align*}
y^{\prime \prime \prime \prime }+4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.049 |
|
| 556 |
\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*} |
✗ |
✓ |
✓ |
✗ |
0.049 |
|
| 557 |
\begin{align*}
x^{\prime \prime \prime \prime }-x^{\prime \prime }&=0 \\
x \left (0\right ) &= 1 \\
x^{\prime \prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.049 |
|
| 558 |
\begin{align*}
x^{\left (5\right )}-x^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.049 |
|
| 559 |
\begin{align*}
x^{\prime \prime \prime \prime }+x^{\prime \prime \prime }-x^{\prime }-x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.049 |
|
| 560 |
\begin{align*}
y^{\prime \prime \prime \prime }-9 y^{\prime \prime }+20 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.049 |
|
| 561 |
\begin{align*}
y^{\prime \prime \prime }-6 y^{\prime \prime }+2 y^{\prime }+36 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.049 |
|
| 562 |
\begin{align*}
y^{\prime \prime \prime }&=0 \\
y \left (0\right ) &= 1 \\
y \left (1\right ) &= 2 \\
y \left (2\right ) &= 9 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.049 |
|
| 563 |
\begin{align*}
y^{\prime \prime \prime }+y^{\prime \prime }-2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.049 |
|
| 564 |
\begin{align*}
y^{\prime \prime \prime }-5 y^{\prime \prime }+6 y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.049 |
|
| 565 |
\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*} |
✗ |
✓ |
✗ |
✓ |
0.049 |
|
| 566 |
\begin{align*}
y^{\prime \prime \prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.049 |
|
| 567 |
\begin{align*}
y^{\prime \prime \prime \prime }&=16 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.049 |
|
| 568 |
\begin{align*}
t^{5} y^{\prime \prime \prime \prime }-t^{3} y^{\prime \prime }+6 y&=0 \\
\end{align*} |
✗ |
✗ |
✓ |
✗ |
0.049 |
|
| 569 |
\begin{align*}
y^{\prime \prime \prime \prime }+18 y^{\prime \prime }+81 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.050 |
|
| 570 |
\begin{align*}
-8 a x y-2 \left (-4 x^{2}-2 a +1\right ) y^{\prime }-6 y^{\prime \prime } x +y^{\prime \prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.050 |
|
| 571 |
\begin{align*}
\left (a -x \right )^{3} \left (b -x \right )^{3} y^{\prime \prime \prime }&=c y \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.050 |
|
| 572 |
\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*} |
✗ |
✓ |
✓ |
✗ |
0.050 |
|
| 573 |
\begin{align*}
y^{\prime \prime \prime }+y^{\prime \prime }-10 y^{\prime }-6 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.050 |
|
| 574 |
\begin{align*}
y^{\prime \prime \prime \prime }+4 y^{\prime \prime \prime }+y^{\prime \prime }-4 y^{\prime }-2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.050 |
|
| 575 |
\begin{align*}
y^{\prime \prime \prime }-8 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.050 |
|
| 576 |
\begin{align*}
y^{\prime \prime \prime \prime }+\lambda y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.050 |
|
| 577 |
\begin{align*}
x^{4} y^{\prime \prime \prime \prime }-2 n \left (n +1\right ) x^{2} y^{\prime \prime }+4 n \left (n +1\right ) x y^{\prime }+\left (a \,x^{4}+n \left (n +1\right ) \left (n +3\right ) \left (-2+n \right )\right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.050 |
|
| 578 |
\begin{align*}
x^{4} y^{\prime \prime \prime \prime }+4 x^{3} y^{\prime \prime \prime }-\left (4 n^{2}-1\right ) x^{2} y^{\prime \prime }-\left (4 n^{2}-1\right ) x y^{\prime }+\left (-4 x^{4}+4 n^{2}-1\right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.050 |
|
| 579 |
\begin{align*}
y^{\left (5\right )}+a \,x^{\nu } y^{\prime }+a \nu \,x^{\nu -1} y&=0 \\
\end{align*} |
✗ |
✗ |
✓ |
✗ |
0.050 |
|
| 580 |
\begin{align*}
36 y^{\prime \prime \prime \prime }-12 y^{\prime \prime \prime }-11 y^{\prime \prime }+2 y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.050 |
|
| 581 |
\begin{align*}
y^{\prime \prime \prime }+\left (-3-4 i\right ) y^{\prime \prime }+\left (-4+12 i\right ) y^{\prime }+12 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.050 |
|
| 582 |
\begin{align*}
y^{\prime \prime }+z^{\prime }-2 z&={\mathrm e}^{2 x} \\
z^{\prime }+2 y^{\prime }-3 y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
0.050 |
|
| 583 |
\begin{align*}
y^{\prime \prime \prime }-8 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.050 |
|
| 584 |
\begin{align*}
x^{\prime }-x&=k \delta \left (t \right ) \\
x \left (0\right ) &= a \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.050 |
|
| 585 |
\begin{align*}
y^{\prime \prime \prime \prime }+8 y^{\prime \prime \prime }+24 y^{\prime \prime }+32 y^{\prime }+16 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.050 |
|
| 586 |
\begin{align*}
x^{\prime }&=-x-x^{2}+y^{2} \\
y^{\prime }&=-y+2 x y \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
0.050 |
|
| 587 |
\begin{align*}
y^{\prime \prime \prime }-6 y^{\prime \prime }+12 y^{\prime }-8 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.050 |
|
| 588 |
\begin{align*}
y^{\prime \prime \prime \prime }-y^{\prime \prime \prime }+y^{\prime \prime }-3 y^{\prime }-6 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.051 |
|
| 589 |
\begin{align*}
y^{\prime \prime \prime \prime }-8 y^{\prime \prime \prime }+16 y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.051 |
|
| 590 |
\begin{align*}
4 y^{\prime \prime \prime }-8 y^{\prime \prime }+5 y^{\prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.051 |
|
| 591 |
\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*} |
✗ |
✓ |
✓ |
✗ |
0.051 |
|
| 592 |
\begin{align*}
27 y-12 y^{\prime \prime }+y^{\prime \prime \prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.051 |
|
| 593 |
\begin{align*}
a^{2} y^{\prime \prime }+y^{\prime \prime \prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.051 |
|
| 594 |
\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*} |
✗ |
✓ |
✓ |
✗ |
0.051 |
|
| 595 |
\begin{align*}
3 y^{2}+18 y y^{\prime } x +9 x^{2} {y^{\prime }}^{2}+9 x^{2} y y^{\prime \prime }+3 x^{3} y^{\prime } y^{\prime \prime }+x^{3} y y^{\prime \prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.051 |
|
| 596 |
\begin{align*}
y^{\prime \prime \prime \prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.051 |
|
| 597 |
\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*} |
✗ |
✓ |
✓ |
✗ |
0.051 |
|
| 598 |
\begin{align*}
y^{\prime \prime \prime \prime }+16 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.051 |
|
| 599 |
\begin{align*}
y^{\prime \prime \prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.051 |
|
| 600 |
\begin{align*}
y^{\prime \prime \prime }+216 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.051 |
|