| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 12501 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (x^{2}-1\right ) y^{\prime \prime }+2 y^{\prime } x&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.484 |
|
| 12502 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (x^{2}-1\right ) y^{\prime \prime }+2 y^{\prime } x -a&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.484 |
|
| 12503 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (x^{2}-1\right ) y^{\prime \prime }+2 y^{\prime } x -l y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.484 |
|
| 12504 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (x^{2}-1\right ) y^{\prime \prime }+2 y^{\prime } x -v \left (v +1\right ) y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.484 |
|
| 12505 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (x^{2}-1\right ) y^{\prime \prime }-2 y^{\prime } x -\left (v +2\right ) \left (v -1\right ) y&=0 \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
1.484 |
|
| 12506 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (x^{2}-1\right ) y^{\prime \prime }-\left (1+3 x \right ) y^{\prime }-\left (x^{2}-x \right ) y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.485 |
|
| 12507 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (x^{2}-1\right ) y^{\prime \prime }+4 y^{\prime } x +\left (x^{2}+1\right ) y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.485 |
|
| 12508 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (x^{2}-1\right ) y^{\prime \prime }+2 \left (n +1\right ) x y^{\prime }-\left (v +n +1\right ) \left (v -n \right ) y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
1.485 |
|
| 12509 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (x^{2}-1\right ) y^{\prime \prime }-2 \left (n -1\right ) x y^{\prime }-\left (v -n +1\right ) \left (v +n \right ) y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.487 |
|
| 12510 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (x^{2}-1\right ) y^{\prime \prime }-2 \left (v -1\right ) x y^{\prime }-2 v y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.487 |
|
| 12511 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (x^{2}-1\right ) y^{\prime \prime }+2 a x y^{\prime }+a \left (-1+a \right ) y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.487 |
|
| 12512 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (x^{2}-1\right ) y^{\prime \prime }+a x y^{\prime }+\left (b \,x^{2}+c x +d \right ) y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.487 |
|
| 12513 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (x^{2}-1\right ) y^{\prime \prime }+\left (a x +b \right ) y^{\prime }+c y&=0 \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
1.488 |
|
| 12514 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (-a^{2}+x^{2}\right ) y^{\prime \prime }+8 y^{\prime } x +12 y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.488 |
|
| 12515 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x \left (x +1\right ) y^{\prime \prime }-\left (-1+x \right ) y^{\prime }+y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.488 |
|
| 12516 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x \left (x +1\right ) y^{\prime \prime }+\left (a x +b \right ) y^{\prime }+c y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.488 |
|
| 12517 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y+\left (3 x +2\right ) y^{\prime }+x \left (x +1\right ) y^{\prime \prime }&=0 \end {array} \]
|
✓ |
✗ |
✗ |
✗ |
1.488 |
|
| 12518 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (x^{2}+x -2\right ) y^{\prime \prime }+\left (x^{2}-x \right ) y^{\prime }-\left (6 x^{2}+7 x \right ) y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.488 |
|
| 12519 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x \left (-1+x \right ) y^{\prime \prime }+a y^{\prime }-2 y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.488 |
|
| 12520 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x \left (-1+x \right ) y^{\prime \prime }+\left (2 x -1\right ) y^{\prime }-v \left (v +1\right ) y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
1.489 |
|
| 12521 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x \left (-1+x \right ) y^{\prime \prime }+\left (\left (1+a \right ) x +b \right ) y^{\prime }&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
1.489 |
|
| 12522 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x \left (-1+x \right ) y^{\prime \prime }+\left (a x +b \right ) y^{\prime }+c y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.489 |
|
| 12523 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x \left (-1+x \right ) y^{\prime \prime }+\left (\left (1+a \right ) x +b \right ) y^{\prime }-l y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.490 |
|
| 12524 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x \left (-1+x \right ) y^{\prime \prime }+\left (\left (\operatorname {a1} +\operatorname {b1} +1\right ) x -\operatorname {d1} \right ) y^{\prime }+\operatorname {a1} \operatorname {b1} \operatorname {d1}&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.490 |
|
| 12525 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x \left (2+x \right ) y^{\prime \prime }+2 \left (n +1+\left (n +1-2 l \right ) x -l \,x^{2}\right ) y^{\prime }+\left (2 l \left (p -n -1\right ) x +2 p l +m \right ) y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.490 |
|
| 12526 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (x +1\right )^{2} y^{\prime \prime }+\left (x^{2}+x -1\right ) y^{\prime }-\left (2+x \right ) y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.491 |
|
| 12527 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x \left (x +3\right ) y^{\prime \prime }+\left (3 x -1\right ) y^{\prime }+y-\left (20 x +30\right ) \left (x^{2}+3 x \right )^{{7}/{3}}&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.491 |
|
| 12528 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} -\left (2 x +3\right ) y+\left (x^{2}+x +1\right ) y^{\prime }+\left (x^{2}+3 x +4\right ) y^{\prime \prime }&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.491 |
|
| 12529 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (-1+x \right ) \left (x -2\right ) y^{\prime \prime }-\left (2 x -3\right ) y^{\prime }+y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.492 |
|
| 12530 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (x -2\right )^{2} y^{\prime \prime }-\left (x -2\right ) y^{\prime }-3 y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.492 |
|
| 12531 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 2 x^{2} y^{\prime \prime }-\left (2 x^{2}+l -5 x \right ) y^{\prime }-\left (4 x -1\right ) y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.492 |
|
| 12532 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 2 x \left (-1+x \right ) y^{\prime \prime }+\left (2 x -1\right ) y^{\prime }+\left (a x +b \right ) y&=0 \end {array} \]
|
✗ |
✗ |
✗ |
✗ |
1.493 |
|
| 12533 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 2 x \left (-1+x \right ) y^{\prime \prime }+\left (\left (2 v +5\right ) x -2 v -3\right ) y^{\prime }+\left (v +1\right ) y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.493 |
|
| 12534 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (2 x^{2}+6 x +4\right ) y^{\prime \prime }+\left (10 x^{2}+21 x +8\right ) y^{\prime }+\left (12 x^{2}+17 x +8\right ) y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
1.494 |
|
| 12535 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 4 x^{2} y^{\prime \prime }+y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.494 |
|
| 12536 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (4 a^{2} x^{2}+1\right ) y+4 x^{2} y^{\prime \prime }&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.494 |
|
| 12537 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 4 x^{2} y^{\prime \prime }-\left (-4 k x +4 m^{2}+x^{2}-1\right ) y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.495 |
|
| 12538 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 4 x^{2} y^{\prime \prime }+4 y^{\prime } x +\left (-v^{2}+x \right ) y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.496 |
|
| 12539 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 4 x^{2} y^{\prime \prime }+4 y^{\prime } x +\left (-x^{2}+2 \left (1-m +2 l \right ) x -m^{2}+1\right ) y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.497 |
|
| 12540 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 4 x^{2} y^{\prime \prime }+4 y^{\prime } x -\left (4 x^{2}+1\right ) y-4 \sqrt {x^{3}}\, {\mathrm e}^{x}&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.497 |
|
| 12541 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 4 x^{2} y^{\prime \prime }+4 y^{\prime } x -\left (a \,x^{2}+1\right ) y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.498 |
|
| 12542 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 4 x^{2} y^{\prime \prime }+4 y^{\prime } x +f \left (x \right ) y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
1.499 |
|
| 12543 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 4 x^{2} y^{\prime \prime }+5 y^{\prime } x -y-\ln \left (x \right )&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.499 |
|
| 12544 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 4 x^{2} y^{\prime \prime }+8 y^{\prime } x -\left (4 x^{2}+12 x +3\right ) y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.500 |
|
| 12545 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 4 x^{2} y^{\prime \prime }-4 x \left (2 x -1\right ) y^{\prime }+\left (4 x^{2}-4 x -1\right ) y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.500 |
|
| 12546 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 4 x^{2} y^{\prime \prime }+4 x^{3} y^{\prime }+\left (x^{2}+6\right ) \left (x^{2}-4\right ) y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.500 |
|
| 12547 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 4 x^{2} y^{\prime \prime }+4 x^{2} \ln \left (x \right ) y^{\prime }+\left (x^{2} \ln \left (x \right )^{2}+2 x -8\right ) y-4 x^{2} \sqrt {{\mathrm e}^{x} x^{-x}}&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.500 |
|
| 12548 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (2 x +1\right )^{2} y^{\prime \prime }-2 \left (2 x +1\right ) y^{\prime }-12 y-3 x -1&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.501 |
|
| 12549 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x \left (4 x -1\right ) y^{\prime \prime }+\left (\left (4 a +2\right ) x -a \right ) y^{\prime }+a \left (-1+a \right ) y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.501 |
|
| 12550 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (3 x -1\right )^{2} y^{\prime \prime }+3 \left (3 x -1\right ) y^{\prime }-9 y-\ln \left (3 x -1\right )^{2}&=0 \end {array} \]
|
✗ |
✓ |
✓ |
✗ |
1.501 |
|
| 12551 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 9 x \left (-1+x \right ) y^{\prime \prime }+3 \left (2 x -1\right ) y^{\prime }-20 y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
1.501 |
|
| 12552 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (4 x +3\right ) y+16 x^{2} y^{\prime \prime }&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.501 |
|
| 12553 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} -\left (5+4 x \right ) y+32 y^{\prime } x +16 x^{2} y^{\prime \prime }&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.502 |
|
| 12554 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (27 x^{2}+4\right ) y^{\prime \prime }+27 y^{\prime } x -3 y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
1.502 |
|
| 12555 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 48 x \left (-1+x \right ) y^{\prime \prime }+\left (152 x -40\right ) y^{\prime }+53 y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.502 |
|
| 12556 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 50 x \left (-1+x \right ) y^{\prime \prime }+25 \left (2 x -1\right ) y^{\prime }-2 y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.502 |
|
| 12557 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 144 x \left (-1+x \right ) y^{\prime \prime }+\left (120 x -48\right ) y^{\prime }+y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.502 |
|
| 12558 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} 144 x \left (-1+x \right ) y^{\prime \prime }+\left (168 x -96\right ) y^{\prime }+y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.503 |
|
| 12559 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} a \,x^{2} y^{\prime \prime }+b x y^{\prime }+\left (c \,x^{2}+d x +f \right ) y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.503 |
|
| 12560 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \operatorname {a2} \,x^{2} y^{\prime \prime }+\left (\operatorname {a1} \,x^{2}+\operatorname {b1} x \right ) y^{\prime }+\left (\operatorname {a0} \,x^{2}+\operatorname {b0} x +\operatorname {c0} \right ) y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.504 |
|
| 12561 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (a \,x^{2}+1\right ) y^{\prime \prime }+a x y^{\prime }+b y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.504 |
|
| 12562 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (a^{2} x^{2}-1\right ) y^{\prime \prime }+2 a^{2} x y^{\prime }&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.504 |
|
| 12563 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (a^{2} x^{2}-1\right ) y^{\prime \prime }+2 a^{2} x y^{\prime }-2 a^{2} y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.504 |
|
| 12564 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (a \,x^{2}+b x \right ) y^{\prime \prime }+2 b y^{\prime }-2 a y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.505 |
|
| 12565 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \operatorname {A2} \left (a x +b \right )^{2} y^{\prime \prime }+\operatorname {A1} \left (a x +b \right ) y^{\prime }+\operatorname {A0} \left (a x +b \right ) y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.505 |
|
| 12566 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (a \,x^{2}+b x +c \right ) y^{\prime \prime }+\left (d x +f \right ) y^{\prime }+g y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.505 |
|
| 12567 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{3} y^{\prime \prime }+y^{\prime } x -\left (2 x +3\right ) y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.505 |
|
| 12568 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} -y+2 y^{\prime } x +x^{3} y^{\prime \prime }&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.505 |
|
| 12569 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{3} y^{\prime \prime }+x^{2} y^{\prime }+\left (a \,x^{2}+b x +a \right ) y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.506 |
|
| 12570 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{3} y^{\prime \prime }+x \left (x +1\right ) y^{\prime }-2 y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.506 |
|
| 12571 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{3} y^{\prime \prime }-x^{2} y^{\prime }+y x -\ln \left (x \right )^{3}&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.507 |
|
| 12572 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{3} y^{\prime \prime }-\left (x^{2}-1\right ) y^{\prime }+y x&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.507 |
|
| 12573 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{3} y^{\prime \prime }+3 x^{2} y^{\prime }+y x -1&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.507 |
|
| 12574 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x \left (x^{2}+1\right ) y^{\prime \prime }+\left (2 x^{2}+1\right ) y^{\prime }-v \left (v +1\right ) x y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.507 |
|
| 12575 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x \left (x^{2}+1\right ) y^{\prime \prime }+2 \left (x^{2}-1\right ) y^{\prime }-2 y x&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.507 |
|
| 12576 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x \left (x^{2}+1\right ) y^{\prime \prime }+\left (2 \left (n +1\right ) x^{2}+2 n +1\right ) y^{\prime }-\left (v -n \right ) \left (v +n +1\right ) x y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.507 |
|
| 12577 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x \left (x^{2}+1\right ) y^{\prime \prime }-\left (2 \left (n -1\right ) x^{2}+2 n -1\right ) y^{\prime }+\left (v +n \right ) \left (-v +n -1\right ) x y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
1.508 |
|
| 12578 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x \left (x^{2}-1\right ) y^{\prime \prime }+y^{\prime }+y a \,x^{3}&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.508 |
|
| 12579 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x \left (x^{2}-1\right ) y^{\prime \prime }+\left (x^{2}-1\right ) y^{\prime }-y x&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
1.508 |
|
| 12580 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x \left (x^{2}-1\right ) y^{\prime \prime }+\left (3 x^{2}-1\right ) y^{\prime }+y x&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
1.509 |
|
| 12581 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x \left (x^{2}-1\right ) y^{\prime \prime }+\left (a \,x^{2}+b \right ) y^{\prime }+c x y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.509 |
|
| 12582 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} -6 y x -y^{\prime }+x \left (x^{2}+2\right ) y^{\prime \prime }&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.509 |
|
| 12583 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x \left (x^{2}-2\right ) y^{\prime \prime }-\left (x^{3}+3 x^{2}-2 x -2\right ) y^{\prime }+\left (x^{2}+4 x +2\right ) y&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.509 |
|
| 12584 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (2 x +1\right ) y-x \left (2 x +1\right ) y^{\prime }+x^{2} \left (x +1\right ) y^{\prime \prime }&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
1.510 |
|
| 12585 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x^{2} \left (x +1\right ) y^{\prime \prime }+2 x \left (3 x +2\right ) y^{\prime }&=0 \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
1.510 |
|
| 12586 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }&=-\frac {2 \left (x -2\right ) y^{\prime }}{x \left (-1+x \right )}+\frac {2 \left (x +1\right ) y}{x^{2} \left (-1+x \right )} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.510 |
|
| 12587 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }&=\frac {\left (5 x -4\right ) y^{\prime }}{x \left (-1+x \right )}-\frac {\left (9 x -6\right ) y}{x^{2} \left (-1+x \right )} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.510 |
|
| 12588 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }&=-\frac {\left (\left (a +b +1\right ) x +\alpha +\beta -1\right ) y^{\prime }}{x \left (-1+x \right )}-\frac {\left (a b x -\alpha \beta \right ) y}{x^{2} \left (-1+x \right )} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.510 |
|
| 12589 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }&=-\frac {y^{\prime }}{x +1}-\frac {y}{x \left (x +1\right )^{2}} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.510 |
|
| 12590 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }&=\frac {2 y^{\prime }}{x \left (x -2\right )}-\frac {y}{x^{2} \left (x -2\right )} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.511 |
|
| 12591 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }&=\frac {2 y}{x \left (-1+x \right )^{2}} \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
1.511 |
|
| 12592 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }&=-\frac {\left (\left (\alpha +\beta +1\right ) x^{2}-\left (\alpha +\beta +1+a \left (\gamma +\delta \right )-\delta \right ) x +a \gamma \right ) y^{\prime }}{x \left (-1+x \right ) \left (x -a \right )}-\frac {\left (\alpha \beta x -q \right ) y}{x \left (-1+x \right ) \left (x -a \right )} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.511 |
|
| 12593 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }&=-\frac {\left (A \,x^{2}+B x +C \right ) y^{\prime }}{\left (x -a \right ) \left (x -b \right ) \left (x -c \right )}-\frac {\left (\operatorname {DD} x +E \right ) y}{\left (x -a \right ) \left (x -b \right ) \left (x -c \right )} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.511 |
|
| 12594 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }&=\frac {\left (x -4\right ) y^{\prime }}{2 x \left (x -2\right )}-\frac {\left (x -3\right ) y}{2 x^{2} \left (x -2\right )} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.512 |
|
| 12595 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }&=\frac {y^{\prime }}{x +1}-\frac {\left (1+3 x \right ) y}{4 x^{2} \left (x +1\right )} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.512 |
|
| 12596 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }&=-\frac {\left (3 x -1\right ) y^{\prime }}{2 x \left (-1+x \right )}+\frac {v \left (v +1\right ) y}{4 x^{2}} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.512 |
|
| 12597 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }&=-\frac {\left (\left (1+a \right ) x -1\right ) y^{\prime }}{x \left (-1+x \right )}-\frac {\left (\left (a^{2}-b^{2}\right ) x +c^{2}\right ) y}{4 x^{2} \left (-1+x \right )} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.512 |
|
| 12598 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }&=-\frac {\left (3 x -1\right ) y^{\prime }}{2 x \left (-1+x \right )}-\frac {\left (a x +b \right ) y}{4 x \left (-1+x \right )^{2}} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.513 |
|
| 12599 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }&=-\frac {\left (1-3 x \right ) y}{\left (-1+x \right ) \left (2 x -1\right )^{2}} \end {array} \]
|
✓ |
✓ |
✓ |
✗ |
1.513 |
|
| 12600 |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime \prime }&=-\frac {\left (3 x +a +2 b \right ) y^{\prime }}{2 \left (a +x \right ) \left (x +b \right )}-\frac {\left (a -b \right ) y}{4 \left (a +x \right )^{2} \left (x +b \right )} \end {array} \]
|
✓ |
✓ |
✓ |
✓ |
1.513 |
|