| ID | problem | ODE | Solved? | Maple | Mma | Sympy |
| 1(a) |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y y^{\prime }&=x \end {array} \] |
✓ |
✓ |
✓ |
✓ |
|
| 1(b) |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }-y&=x^{3} \end {array} \] |
✓ |
✓ |
✓ |
✓ |
|
| 1(c) |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }+y \cot \left (x \right )&=x \end {array} \] |
✓ |
✓ |
✓ |
✓ |
|
| 1(d) |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }+y \cot \left (x \right )&=\tan \left (x \right ) \end {array} \] |
✓ |
✓ |
✓ |
✓ |
|
| 1(e) |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }+y \tan \left (x \right )&=\cot \left (x \right ) \end {array} \] |
✓ |
✓ |
✓ |
✓ |
|
| 1(f) |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }+y \ln \left (x \right )&=x^{-x} \end {array} \] |
✓ |
✓ |
✓ |
✓ |
|
| 2(a) |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x y^{\prime }+y&=x \end {array} \] |
✓ |
✓ |
✓ |
✓ |
|
| 2(b) |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x y^{\prime }-y&=x^{3} \end {array} \] |
✓ |
✓ |
✓ |
✓ |
|
| 2(c) |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x y^{\prime }+n y&=x^{n} \end {array} \] |
✓ |
✓ |
✓ |
✓ |
|
| 2(d) |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x y^{\prime }-n y&=x^{n} \end {array} \] |
✓ |
✓ |
✓ |
✓ |
|
| 2(e) |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \left (x^{3}+x \right ) y^{\prime }+y&=x \end {array} \] |
✓ |
✓ |
✓ |
✓ |
|
| 3(a) |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \cot \left (x \right ) y^{\prime }+y&=x \end {array} \] |
✓ |
✓ |
✓ |
✓ |
|
| 3(b) |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \cot \left (x \right ) y^{\prime }+y&=\tan \left (x \right ) \end {array} \] |
✓ |
✓ |
✓ |
✓ |
|
| 3(c) |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \tan \left (x \right ) y^{\prime }+y&=\cot \left (x \right ) \end {array} \] |
✓ |
✓ |
✓ |
✓ |
|
| 3(a) |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \tan \left (x \right ) y^{\prime }&=y-\cos \left (x \right ) \end {array} \] |
✓ |
✓ |
✓ |
✓ |
|
| 4(a) |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }+\cos \left (x \right ) y&=\sin \left (2 x \right ) \end {array} \] |
✓ |
✓ |
✓ |
✓ |
|
| 4(b) |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \cos \left (x \right ) y^{\prime }+y&=\sin \left (2 x \right ) \end {array} \] |
✓ |
✓ |
✓ |
✓ |
|
| 4(c) |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{\prime }+y \sin \left (x \right )&=\sin \left (2 x \right ) \end {array} \] |
✓ |
✓ |
✓ |
✗ |
|
| 4(d) |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \sin \left (x \right ) y^{\prime }+y&=\sin \left (2 x \right ) \end {array} \] |
✓ |
✓ |
✓ |
✗ |
|
| 5(a) | \[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \sqrt {x^{2}+1}\, y^{\prime }+y&=2 x \end {array} \] | ✓ | ✓ | ✓ | ✓ |
|
| 5(b) |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \sqrt {x^{2}+1}\, y^{\prime }-y&=2 \sqrt {x^{2}+1} \end {array} \] |
✓ |
✓ |
✓ |
✓ |
|
| 5(c) |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \sqrt {\left (x +a \right ) \left (x +b \right )}\, \left (2 y^{\prime }-3\right )+y&=0 \end {array} \] |
✓ |
✓ |
✓ |
✗ |
|
| 5(d) |
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} \sqrt {\left (x +a \right ) \left (x +b \right )}\, y^{\prime }+y&=\sqrt {x +a}-\sqrt {x +b} \end {array} \] |
✓ |
✓ |
✓ |
✗ |
|