| # | ODE | Mathematica | Maple | Sympy |
| \[
{} \left (x^{2}-8 x +14\right ) y^{\prime \prime }-8 \left (x -4\right ) y^{\prime }+20 y = 0
\]
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✓ |
✓ |
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| \[
{} \left (2 x^{2}+4 x +5\right ) y^{\prime \prime }-20 y^{\prime } \left (1+x \right )+60 y = 0
\]
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✓ |
✓ |
✗ |
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| \[
{} \left (x^{3}+1\right ) y^{\prime \prime }+7 x^{2} y^{\prime }+9 x y = 0
\]
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✓ |
✓ |
✗ |
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| \[
{} y^{\prime \prime }+x^{6} y^{\prime }+7 x^{5} y = 0
\]
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✓ |
✓ |
✗ |
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| \[
{} \left (x^{8}+1\right ) y^{\prime \prime }-16 x^{7} y^{\prime }+72 x^{6} y = 0
\]
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✓ |
✓ |
✗ |
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| \[
{} y^{\prime \prime }+x^{5} y^{\prime }+6 x^{4} y = 0
\]
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✓ |
✓ |
✗ |
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| \[
{} \left (3 x +1\right ) y^{\prime \prime }+x y^{\prime }+2 y = 0
\]
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✓ |
✓ |
✗ |
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| \[
{} \left (3 x^{2}+x +1\right ) y^{\prime \prime }+\left (2+15 x \right ) y^{\prime }+12 y = 0
\]
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✓ |
✓ |
✗ |
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| \[
{} \left (x +2\right ) y^{\prime \prime }+y^{\prime } \left (1+x \right )+3 y = 0
\]
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✓ |
✓ |
✗ |
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| \[
{} \left (x +4\right ) y^{\prime \prime }+\left (x +2\right ) y^{\prime }+2 y = 0
\]
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✓ |
✓ |
✗ |
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| \[
{} \left (2 x^{2}+3 x \right ) y^{\prime \prime }+10 y^{\prime } \left (1+x \right )+8 y = 0
\]
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✓ |
✓ |
✗ |
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| \[
{} x^{2} y^{\prime \prime }-\left (6-7 x \right ) y^{\prime }+8 y = 0
\]
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✓ |
✓ |
✗ |
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| \[
{} \left (2 x^{2}+x +1\right ) y^{\prime \prime }+\left (1+7 x \right ) y^{\prime }+2 y = 0
\]
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✓ |
✓ |
✗ |
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| \[
{} \left (x +3\right ) y^{\prime \prime }+\left (2 x +1\right ) y^{\prime }-\left (2-x \right ) y = 0
\]
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✓ |
✓ |
✗ |
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| \[
{} y^{\prime \prime }+3 x y^{\prime }+\left (2 x^{2}+4\right ) y = 0
\]
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✓ |
✓ |
✗ |
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| \[
{} \left (4 x +2\right ) y^{\prime \prime }-4 y^{\prime }-\left (6+4 x \right ) y = 0
\]
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✓ |
✓ |
✗ |
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| \[
{} y^{\prime \prime }-3 x y^{\prime }+\left (2 x^{2}+5\right ) y = 0
\]
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✓ |
✓ |
✗ |
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| \[
{} 2 y^{\prime \prime }+5 x y^{\prime }+\left (2 x^{2}+4\right ) y = 0
\]
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✓ |
✓ |
✗ |
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| \[
{} y^{\prime \prime }+4 x y^{\prime }+\left (4 x^{2}+2\right ) y = 0
\]
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✓ |
✓ |
✗ |
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| \[
{} y^{\prime \prime }+4 x y^{\prime }+\left (4 x^{2}+2\right ) y = 0
\]
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✓ |
✓ |
✗ |
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| \[
{} 2 x^{2} \left (x^{2}+x +1\right ) y^{\prime \prime }+x \left (11 x^{2}+11 x +9\right ) y^{\prime }+\left (7 x^{2}+10 x +6\right ) y = 0
\]
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✓ |
✓ |
✗ |
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| \[
{} 3 x^{2} y^{\prime \prime }+2 x \left (-2 x^{2}+x +1\right ) y^{\prime }+\left (-8 x^{2}+2 x \right ) y = 0
\]
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✓ |
✓ |
✗ |
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| \[
{} 12 x^{2} \left (1+x \right ) y^{\prime \prime }+x \left (3 x^{2}+35 x +11\right ) y^{\prime }-\left (-5 x^{2}-10 x +1\right ) y = 0
\]
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✓ |
✓ |
✗ |
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| \[
{} x^{2} \left (10 x^{2}+x +5\right ) y^{\prime \prime }+x \left (48 x^{2}+3 x +4\right ) y^{\prime }+\left (36 x^{2}+x \right ) y = 0
\]
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✓ |
✓ |
✗ |
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| \[
{} 18 x^{2} \left (1+x \right ) y^{\prime \prime }+3 x \left (x^{2}+11 x +5\right ) y^{\prime }-\left (-5 x^{2}-2 x +1\right ) y = 0
\]
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✓ |
✓ |
✗ |
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| \[
{} 2 x^{2} y^{\prime \prime }+x \left (2 x +3\right ) y^{\prime }-\left (1-x \right ) y = 0
\]
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✓ |
✓ |
✗ |
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| \[
{} 2 x^{2} y^{\prime \prime }+x \left (x +5\right ) y^{\prime }-\left (2-3 x \right ) y = 0
\]
|
✓ |
✓ |
✗ |
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| \[
{} 3 x^{2} y^{\prime \prime }+x \left (1+x \right ) y^{\prime }-\left (3 x +1\right ) y = 0
\]
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✓ |
✓ |
✗ |
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| \[
{} 2 x^{2} \left (x +3\right ) y^{\prime \prime }+x \left (5 x +1\right ) y^{\prime }+\left (1+x \right ) y = 0
\]
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✓ |
✓ |
✗ |
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| \[
{} x^{2} \left (x +4\right ) y^{\prime \prime }-x \left (1-3 x \right ) y^{\prime }+y = 0
\]
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✓ |
✓ |
✗ |
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| \[
{} 6 x^{2} y^{\prime \prime }+x \left (10-x \right ) y^{\prime }-\left (x +2\right ) y = 0
\]
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✓ |
✓ |
✗ |
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| \[
{} x^{2} \left (4 x +3\right ) y^{\prime \prime }+x \left (11+4 x \right ) y^{\prime }-\left (4 x +3\right ) y = 0
\]
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✓ |
✓ |
✗ |
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| \[
{} 2 x^{2} \left (2+3 x \right ) y^{\prime \prime }+x \left (4+11 x \right ) y^{\prime }-\left (1-x \right ) y = 0
\]
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✓ |
✓ |
✗ |
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| \[
{} x^{2} \left (x +2\right ) y^{\prime \prime }+5 x \left (1-x \right ) y^{\prime }-\left (2-8 x \right ) y = 0
\]
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✓ |
✓ |
✗ |
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| \[
{} 8 x^{2} \left (-x^{2}+1\right ) y^{\prime \prime }+2 x \left (-13 x^{2}+1\right ) y^{\prime }+\left (-9 x^{2}+1\right ) y = 0
\]
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✓ |
✓ |
✗ |
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| \[
{} x^{2} \left (x^{2}+1\right ) y^{\prime \prime }-2 x \left (-x^{2}+2\right ) y^{\prime }+4 y = 0
\]
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✓ |
✓ |
✗ |
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| \[
{} x \left (x^{2}+3\right ) y^{\prime \prime }+\left (-x^{2}+2\right ) y^{\prime }-8 x y = 0
\]
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✓ |
✓ |
✗ |
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| \[
{} 4 x^{2} \left (-x^{2}+1\right ) y^{\prime \prime }+x \left (-19 x^{2}+7\right ) y^{\prime }-\left (14 x^{2}+1\right ) y = 0
\]
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✓ |
✓ |
✗ |
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| \[
{} 3 x^{2} \left (-x^{2}+2\right ) y^{\prime \prime }+x \left (-11 x^{2}+1\right ) y^{\prime }+\left (-5 x^{2}+1\right ) y = 0
\]
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✓ |
✓ |
✗ |
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| \[
{} 2 x^{2} \left (x^{2}+2\right ) y^{\prime \prime }-x \left (-7 x^{2}+12\right ) y^{\prime }+\left (3 x^{2}+7\right ) y = 0
\]
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✓ |
✓ |
✗ |
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| \[
{} 2 x^{2} \left (x^{2}+2\right ) y^{\prime \prime }+x \left (7 x^{2}+4\right ) y^{\prime }-\left (-3 x^{2}+1\right ) y = 0
\]
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✓ |
✓ |
✗ |
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| \[
{} 2 x^{2} \left (2 x^{2}+1\right ) y^{\prime \prime }+5 x \left (6 x^{2}+1\right ) y^{\prime }-\left (-40 x^{2}+2\right ) y = 0
\]
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✓ |
✓ |
✗ |
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| \[
{} x \left (x^{2}+1\right ) y^{\prime \prime }+\left (7 x^{2}+4\right ) y^{\prime }+8 x y = 0
\]
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✓ |
✓ |
✗ |
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| \[
{} 2 x^{2} \left (x^{2}+1\right ) y^{\prime \prime }+x \left (8 x^{2}+3\right ) y^{\prime }-\left (-4 x^{2}+3\right ) y = 0
\]
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✓ |
✓ |
✗ |
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| \[
{} 9 x^{2} y^{\prime \prime }+3 x \left (x^{2}+3\right ) y^{\prime }-\left (-5 x^{2}+1\right ) y = 0
\]
|
✓ |
✓ |
✗ |
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| \[
{} 6 x^{2} y^{\prime \prime }+x \left (6 x^{2}+1\right ) y^{\prime }+\left (9 x^{2}+1\right ) y = 0
\]
|
✓ |
✓ |
✗ |
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| \[
{} 9 x^{2} \left (x^{2}+1\right ) y^{\prime \prime }+3 x \left (13 x^{2}+3\right ) y^{\prime }-\left (-25 x^{2}+1\right ) y = 0
\]
|
✓ |
✓ |
✗ |
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| \[
{} 4 x^{2} \left (x^{2}+1\right ) y^{\prime \prime }+4 x \left (6 x^{2}+1\right ) y^{\prime }-\left (-25 x^{2}+1\right ) y = 0
\]
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✓ |
✓ |
✗ |
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| \[
{} 8 x^{2} \left (2 x^{2}+1\right ) y^{\prime \prime }+2 x \left (34 x^{2}+5\right ) y^{\prime }-\left (-30 x^{2}+1\right ) y = 0
\]
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✓ |
✓ |
✗ |
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| \[
{} 2 x^{2} \left (1+x \right ) y^{\prime \prime }-x \left (1-3 x \right ) y^{\prime }+y = 0
\]
|
✓ |
✓ |
✗ |
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| \[
{} 6 x^{2} \left (2 x^{2}+1\right ) y^{\prime \prime }+x \left (50 x^{2}+1\right ) y^{\prime }+\left (30 x^{2}+1\right ) y = 0
\]
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✓ |
✓ |
✗ |
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| \[
{} 28 x^{2} \left (1-3 x \right ) y^{\prime \prime }-7 x \left (5+9 x \right ) y^{\prime }+7 \left (2+9 x \right ) y = 0
\]
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✓ |
✓ |
✗ |
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| \[
{} 8 x^{2} \left (-x^{2}+2\right ) y^{\prime \prime }+2 x \left (-21 x^{2}+10\right ) y^{\prime }-\left (35 x^{2}+2\right ) y = 0
\]
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✓ |
✓ |
✗ |
|
| \[
{} 4 x^{2} \left (x^{2}+3 x +1\right ) y^{\prime \prime }-4 x \left (-3 x^{2}-3 x +1\right ) y^{\prime }+3 \left (x^{2}-x +1\right ) y = 0
\]
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✓ |
✓ |
✗ |
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| \[
{} 3 x^{2} \left (1+x \right )^{2} y^{\prime \prime }-x \left (-11 x^{2}-10 x +1\right ) y^{\prime }+\left (5 x^{2}+1\right ) y = 0
\]
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✓ |
✓ |
✗ |
|
| \[
{} 4 x^{2} \left (x^{2}+2 x +3\right ) y^{\prime \prime }-x \left (-15 x^{2}-14 x +3\right ) y^{\prime }+\left (7 x^{2}+3\right ) y = 0
\]
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✓ |
✓ |
✗ |
|
| \[
{} x^{2} \left (x^{2}-2 x +1\right ) y^{\prime \prime }-x \left (x +3\right ) y^{\prime }+\left (x +4\right ) y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} 2 x^{2} \left (x +2\right ) y^{\prime \prime }+5 x^{2} y^{\prime }+\left (1+x \right ) y = 0
\]
|
✓ |
✓ |
✗ |
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| \[
{} x^{2} \left (-x^{2}+2\right ) y^{\prime \prime }-2 x \left (2 x^{2}+1\right ) y^{\prime }+\left (-2 x^{2}+2\right ) y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} x^{2} y^{\prime \prime }-x \left (5-x \right ) y^{\prime }+\left (9-4 x \right ) y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} 4 x^{2} \left (x^{2}+x +1\right ) y^{\prime \prime }+12 x^{2} \left (1+x \right ) y^{\prime }+\left (3 x^{2}+3 x +1\right ) y = 0
\]
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✓ |
✓ |
✗ |
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| \[
{} x^{2} \left (x^{2}+x +1\right ) y^{\prime \prime }-x \left (-2 x^{2}-4 x +1\right ) y^{\prime }+y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} 9 x^{2} y^{\prime \prime }+3 x \left (-2 x^{2}+3 x +5\right ) y^{\prime }+\left (-14 x^{2}+12 x +1\right ) y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} x^{2} \left (2 x +1\right ) y^{\prime \prime }+x \left (3 x^{2}+14 x +5\right ) y^{\prime }+\left (12 x^{2}+18 x +4\right ) y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} 16 x^{2} y^{\prime \prime }+4 x \left (2 x^{2}+x +6\right ) y^{\prime }+\left (18 x^{2}+5 x +1\right ) y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} 9 x^{2} \left (1+x \right ) y^{\prime \prime }+3 x \left (-x^{2}+11 x +5\right ) y^{\prime }+\left (-7 x^{2}+16 x +1\right ) y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} 36 x^{2} \left (1-2 x \right ) y^{\prime \prime }+24 x \left (1-9 x \right ) y^{\prime }+\left (1-70 x \right ) y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} x^{2} \left (1+x \right ) y^{\prime \prime }-x \left (3-x \right ) y^{\prime }+4 y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} x^{2} \left (1-2 x \right ) y^{\prime \prime }-x \left (5-4 x \right ) y^{\prime }+\left (9-4 x \right ) y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} 2 x^{2} \left (1+x \right ) y^{\prime \prime }-x \left (6-x \right ) y^{\prime }+\left (8-x \right ) y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} x^{2} \left (2 x +1\right ) y^{\prime \prime }+x \left (5+9 x \right ) y^{\prime }+\left (3 x +4\right ) y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} x^{2} \left (1-2 x \right ) y^{\prime \prime }-x \left (4 x +5\right ) y^{\prime }+\left (9+4 x \right ) y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} \left (1-x \right ) x^{2} y^{\prime \prime }+x \left (7+x \right ) y^{\prime }+\left (9-x \right ) y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} x^{2} y^{\prime \prime }-x \left (-x^{2}+1\right ) y^{\prime }+\left (x^{2}+1\right ) y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} x^{2} \left (x^{2}+1\right ) y^{\prime \prime }-3 x \left (-x^{2}+1\right ) y^{\prime }+4 y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} 4 x^{2} y^{\prime \prime }+2 x^{3} y^{\prime }+\left (3 x^{2}+1\right ) y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} x^{2} \left (x^{2}+1\right ) y^{\prime \prime }-x \left (-2 x^{2}+1\right ) y^{\prime }+y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} 2 x^{2} \left (x^{2}+2\right ) y^{\prime \prime }+7 x^{3} y^{\prime }+\left (3 x^{2}+1\right ) y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} x^{2} \left (x^{2}+1\right ) y^{\prime \prime }-x \left (-4 x^{2}+1\right ) y^{\prime }+\left (2 x^{2}+1\right ) y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} 4 x^{2} \left (x^{2}+4\right ) y^{\prime \prime }+3 x \left (3 x^{2}+8\right ) y^{\prime }+\left (-9 x^{2}+1\right ) y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} 3 x^{2} \left (x^{2}+3\right ) y^{\prime \prime }+x \left (11 x^{2}+3\right ) y^{\prime }+\left (5 x^{2}+1\right ) y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} 9 x^{2} y^{\prime \prime }-3 x \left (-2 x^{2}+7\right ) y^{\prime }+\left (2 x^{2}+25\right ) y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} x^{2} y^{\prime \prime }-x \left (-x^{2}+1\right ) y^{\prime }+\left (x^{2}+1\right ) y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} x^{2} \left (1-2 x \right ) y^{\prime \prime }+3 x y^{\prime }+\left (1+4 x \right ) y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y+\left (1-x \right ) y^{\prime }+x \left (1+x \right ) y^{\prime \prime } = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} \left (1-x \right ) x^{2} y^{\prime \prime }-\left (3-5 x \right ) x y^{\prime }+\left (4-5 x \right ) y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} x^{2} \left (x^{2}+1\right ) y^{\prime \prime }-x \left (9 x^{2}+1\right ) y^{\prime }+\left (25 x^{2}+1\right ) y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} 9 x^{2} y^{\prime \prime }+3 x \left (-x^{2}+1\right ) y^{\prime }+\left (7 x^{2}+1\right ) y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} x \left (x^{2}+1\right ) y^{\prime \prime }+y^{\prime } \left (-x^{2}+1\right )-8 x y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} 4 x^{2} y^{\prime \prime }+2 x \left (-x^{2}+4\right ) y^{\prime }+\left (7 x^{2}+1\right ) y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} 4 x^{2} \left (1+x \right ) y^{\prime \prime }+8 x^{2} y^{\prime }+\left (1+x \right ) y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} 9 x^{2} \left (x +3\right ) y^{\prime \prime }+3 x \left (3+7 x \right ) y^{\prime }+\left (4 x +3\right ) y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} x^{2} \left (-x^{2}+2\right ) y^{\prime \prime }-x \left (3 x^{2}+2\right ) y^{\prime }+\left (-x^{2}+2\right ) y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} 16 x^{2} \left (x^{2}+1\right ) y^{\prime \prime }+8 x \left (9 x^{2}+1\right ) y^{\prime }+\left (49 x^{2}+1\right ) y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} x^{2} \left (3 x +4\right ) y^{\prime \prime }-x \left (4-3 x \right ) y^{\prime }+4 y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} 4 x^{2} \left (x^{2}+3 x +1\right ) y^{\prime \prime }+8 x^{2} \left (2 x +3\right ) y^{\prime }+\left (9 x^{2}+3 x +1\right ) y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} \left (1-x \right )^{2} x^{2} y^{\prime \prime }-x \left (-3 x^{2}+2 x +1\right ) y^{\prime }+\left (x^{2}+1\right ) y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} 9 x^{2} \left (x^{2}+x +1\right ) y^{\prime \prime }+3 x \left (13 x^{2}+7 x +1\right ) y^{\prime }+\left (25 x^{2}+4 x +1\right ) y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} 2 x^{2} \left (x +2\right ) y^{\prime \prime }-x \left (4-7 x \right ) y^{\prime }-\left (5-3 x \right ) y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} x^{2} \left (1-2 x \right ) y^{\prime \prime }+x \left (8-9 x \right ) y^{\prime }+\left (6-3 x \right ) y = 0
\]
|
✓ |
✓ |
✗ |
|