| # | ODE | Mathematica | Maple | Sympy |
| \[
{} 3 y^{\prime \prime \prime }+18 y^{\prime \prime }+13 y^{\prime }-19 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime \prime }-5 y^{\prime \prime }+5 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\left (5\right )}-3 y^{\prime \prime \prime \prime }-5 y^{\prime \prime \prime }+15 y^{\prime \prime }+4 y^{\prime }-12 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{\prime \prime \prime }-x^{\prime \prime }+x^{\prime }-x = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{\prime \prime \prime \prime }+x = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{\prime \prime \prime }-3 x^{\prime \prime }-9 x^{\prime }-5 x = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime \prime }-y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }-6 y^{\prime \prime }+12 y^{\prime }-8 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }+y^{\prime \prime }-2 y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime \prime }-6 y^{\prime \prime \prime }+12 y^{\prime \prime }-8 y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }-y^{\prime \prime }+9 y^{\prime }-9 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime \prime }+4 y^{\prime \prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime \prime }-6 y^{\prime \prime \prime }+13 y^{\prime \prime }-12 y^{\prime }+4 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\left (6\right )}+9 y^{\prime \prime \prime \prime }+24 y^{\prime \prime }+16 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} \left (2 x^{3}-1\right ) y^{\prime \prime \prime }-6 x^{2} y^{\prime \prime }+6 x y^{\prime } = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} x y^{\prime \prime \prime }-{y^{\prime }}^{4}+y = 0
\]
|
✗ |
✗ |
✗ |
|
| \[
{} t^{5} y^{\prime \prime \prime \prime }-t^{3} y^{\prime \prime }+6 y = 0
\]
|
✓ |
✗ |
✗ |
|
| \[
{} x^{2} y^{\prime \prime \prime }-3 x y^{\prime \prime }+3 y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime \prime }-20 y^{\prime \prime \prime }+158 y^{\prime \prime }-580 y^{\prime }+841 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{3} y^{\prime \prime \prime }+2 x^{2} y^{\prime \prime }+20 x y^{\prime }-78 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }-2 x y^{\prime \prime }+4 x^{2} y^{\prime }+8 x^{3} y = 0
\]
|
✗ |
✗ |
✗ |
|
| \[
{} x^{4} y^{\prime \prime \prime \prime }-x^{2} y^{\prime \prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 3 {y^{\prime \prime }}^{2}-y^{\prime } y^{\prime \prime \prime }-y^{\prime \prime } {y^{\prime }}^{2} = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\left (5\right )}-\frac {y^{\prime \prime \prime \prime }}{t} = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} a y^{\prime \prime } y^{\prime \prime \prime } = \sqrt {1+{y^{\prime \prime }}^{2}}
\]
|
✓ |
✓ |
✗ |
|
| \[
{} a^{2} y^{\prime \prime \prime \prime } = y^{\prime \prime }
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }-8 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime \prime }+16 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }-5 y^{\prime \prime }+6 y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }-i y^{\prime \prime }+4 y^{\prime }-4 i y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime \prime }+5 y^{\prime \prime }+4 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime \prime }-16 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }-3 y^{\prime }-2 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }-3 i y^{\prime \prime }-3 y^{\prime }+i y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} -4 y^{\prime }+y^{\prime \prime \prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\left (5\right )}-y^{\prime \prime \prime \prime }-y^{\prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime \prime }-y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\left (5\right )}+2 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime \prime }-5 y^{\prime \prime }+4 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }-i y^{\prime \prime }+y^{\prime }-i y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime \prime }-k^{4} y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{3} y^{\prime \prime \prime }-3 x^{2} y^{\prime \prime }+6 x y^{\prime }-6 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }-x y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} x^{3} y^{\prime \prime \prime }+2 x^{2} y^{\prime \prime }-x y^{\prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 2 y^{\prime \prime \prime }+y^{\prime \prime }-5 y^{\prime }+2 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }-3 y^{\prime \prime }+2 y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }-3 y^{\prime \prime }+4 y^{\prime }-2 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }-y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }+3 y^{\prime \prime }+3 y^{\prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime \prime }+4 y^{\prime \prime \prime }+6 y^{\prime \prime }+4 y^{\prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime \prime }-y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime \prime }+5 y^{\prime \prime }+4 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime \prime }-2 a^{2} y^{\prime \prime }+a^{4} y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} a^{4} y+2 a^{2} y^{\prime \prime }+y^{\prime \prime \prime \prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }+2 y^{\prime \prime }+2 y^{\prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }-2 y^{\prime \prime }-6 y^{\prime }+5 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }-6 y^{\prime \prime }+11 y^{\prime }-6 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime \prime }+y^{\prime \prime \prime }-3 y^{\prime \prime }-5 y^{\prime }-2 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\left (5\right )}-6 y^{\prime \prime \prime \prime }-8 y^{\prime \prime \prime }+48 y^{\prime \prime }+16 y^{\prime }-96 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime \prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 3 x^{2} y^{\prime \prime }+x^{3} y^{\prime \prime \prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{3} y^{\prime \prime \prime }+x^{2} y^{\prime \prime }-2 x y^{\prime }+2 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{3} y^{\prime \prime \prime }+2 x^{2} y^{\prime \prime }+x y^{\prime }-y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{3} y^{\prime \prime \prime \prime }+8 x^{2} y^{\prime \prime \prime }+8 x y^{\prime \prime }-8 y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }+x^{2} y^{\prime \prime }+5 x y^{\prime }+3 y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} 8 y-8 x y^{\prime }+4 x^{2} y^{\prime \prime }+x^{3} y^{\prime \prime \prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{4} y^{\prime \prime \prime }+x^{3} y^{\prime \prime }+x^{2} y^{\prime }+x y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 5 x^{5} y^{\prime \prime \prime \prime }+4 x^{4} y^{\prime \prime \prime }+x^{2} y^{\prime }+x y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }-x y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime \prime \prime }-\lambda y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }-a \,x^{b} y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime \prime \prime }+3 y^{\prime }-4 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} a y+2 a x y^{\prime }+y^{\prime \prime \prime } = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime \prime \prime }-x^{2} y^{\prime \prime }+\left (a +b -1\right ) x y^{\prime }-b y a = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime \prime \prime }+x^{2 c -2} y^{\prime }+\left (c -1\right ) x^{2 c -3} y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime \prime \prime }-\left (6 k^{2} \sin \left (x \right )^{2}+a \right ) y^{\prime }+b y = 0
\]
|
✗ |
✗ |
✗ |
|
| \[
{} f^{\prime }\left (x \right ) y+2 f \left (x \right ) y^{\prime }+y^{\prime \prime \prime } = 0
\]
|
✗ |
✗ |
✗ |
|
| \[
{} y^{\prime \prime \prime }-2 y^{\prime \prime }-3 y^{\prime }+10 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }+\operatorname {a2} y^{\prime \prime }+\operatorname {a1} y^{\prime }+\operatorname {a0} y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }-6 x y^{\prime \prime }+2 \left (4 x^{2}+2 a -1\right ) y^{\prime }-8 a x y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} a^{3} x^{3} y+3 a^{2} x^{2} y^{\prime }+3 a x y^{\prime \prime }+y^{\prime \prime \prime } = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} f \left (x \right ) y+y^{\prime }+f \left (x \right ) y^{\prime \prime }+y^{\prime \prime \prime } = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime \prime \prime }+f \left (x \right ) \left (x^{2} y^{\prime \prime }-2 x y^{\prime }+2 y\right ) = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} x y^{\prime \prime \prime }+3 y^{\prime \prime }+x y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} x y^{\prime \prime \prime }+3 y^{\prime \prime }-a \,x^{2} y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} x y^{\prime \prime \prime }+\left (a +b \right ) y^{\prime \prime }-x y^{\prime }-a y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} x y^{\prime \prime \prime }-\left (x +2 v \right ) y^{\prime \prime }-\left (x -2 v -1\right ) y^{\prime }+\left (x -1\right ) y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} 2 x y^{\prime \prime \prime }-4 \left (x +\nu -1\right ) y^{\prime \prime }+\left (2 x +6 \nu -5\right ) y^{\prime }+\left (1-2 \nu \right ) y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} 2 x y^{\prime \prime \prime }+3 \left (2 a x +k \right ) y^{\prime \prime }+6 \left (a k +b x \right ) y^{\prime }+\left (3 b k +2 c x \right ) y = 0
\]
|
✗ |
✗ |
✗ |
|
| \[
{} \left (x -2\right ) x y^{\prime \prime \prime }-x \left (x -2\right ) y^{\prime \prime }-2 y^{\prime }+2 y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} \left (2 x -1\right ) y^{\prime \prime \prime }-8 x y^{\prime }+8 y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} \left (2 x -1\right ) y^{\prime \prime \prime }+\left (x +4\right ) y^{\prime \prime }+2 y^{\prime } = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} a \,x^{2} y-6 y^{\prime }+x^{2} y^{\prime \prime \prime } = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} x^{2} y^{\prime \prime \prime }+\left (1+x \right ) y^{\prime \prime }-y = 0
\]
|
✗ |
✗ |
✗ |
|
| \[
{} x^{2} y^{\prime \prime \prime }-x y^{\prime \prime }+\left (x^{2}+1\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} x^{2} y^{\prime \prime \prime }+3 x y^{\prime \prime }+\left (4 a^{2} x^{2 a}+1-4 \nu ^{2} a^{2}\right ) y^{\prime } = 4 a^{3} x^{2 a -1} y
\]
|
✓ |
✓ |
✗ |
|
| \[
{} x^{2} y^{\prime \prime \prime }-3 \left (x -m \right ) x y^{\prime \prime }+\left (2 x^{2}+4 \left (n -m \right ) x +m \left (2 m -1\right )\right ) y^{\prime }-2 n \left (2 x -2 m +1\right ) y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} 6 y^{\prime }+6 x y^{\prime \prime }+x^{2} y^{\prime \prime \prime } = 0
\]
|
✓ |
✓ |
✓ |
|