| 1 | \frac{{ - ab{\text{sec}}{h^2}\left( {\frac{{\sqrt a }}{2}\xi } \right)}}{{{b^2} - ac{{\left( {1 + \varepsilon \tan h\left( {\frac{{\sqrt a }}{2}\xi } \right)} \right)}^2}}} | a > 0 |
| 2 | \frac{{ab{\text{csc}}{h^2}\left( {\frac{{\sqrt a }}{2}\xi } \right)}}{{{b^2} - ac{{\left( {1 + \varepsilon \cot h\left( {\frac{{\sqrt a }}{2}\xi } \right)} \right)}^2}}} | a > 0 |
| 3 | \frac{{2a{\text{sec}}h\left( {\sqrt a \xi } \right)}}{{\varepsilon \sqrt \Delta - b{\text{sec}}h\left( {\sqrt a \xi } \right)}} | a > 0, Δ > 0 |
| 4 | \frac{{2a{\text{sec}}\left( {\sqrt { - a} \xi } \right)}}{{\varepsilon \sqrt \Delta - b{\text{sec}}\left( {\sqrt { - a} \xi } \right)}} | a < 0, Δ > 0 |
| 5 | \frac{{2a{\text{csc}}h\left( {\sqrt a \xi } \right)}}{{\varepsilon \sqrt { - \Delta } - b{\text{csc}}h\left( {\sqrt a \xi } \right)}} | a > 0, Δ < 0 |
| 6 | \frac{{2a{\text{csc}}\left( {\sqrt { - a} \xi } \right)}}{{\varepsilon \sqrt \Delta - b{\text{csc}}\left( {\sqrt { - a} \xi } \right)}} | a < 0, Δ > 0 |
| 7 | \frac{{ - a{\text{sec}}{h^2}\left( {\frac{{\sqrt a }}{2}\xi } \right)}}{{b + 2\varepsilon \sqrt {ac} \tan h\left( {\frac{{\sqrt a }}{2}\xi } \right)}} | a > 0, c > 0 |
| 8 | \frac{{ - a{\text{se}}{{\text{c}}^2}\left( {\frac{{\sqrt { - a} }}{2}\xi } \right)}}{{b + 2\varepsilon \sqrt { - ac} \tan \left( {\frac{{\sqrt { - a} }}{2}\xi } \right)}} | a < 0, c > 0 |
| 9 | \frac{{a{\text{csc}}{h^2}\left( {\frac{{\sqrt a }}{2}\xi } \right)}}{{b + 2\varepsilon \sqrt {ac} \cot h\left( {\frac{{\sqrt a }}{2}\xi } \right)}} | a > 0, c > 0 |
| 10 | \frac{{ - a{{\csc }^2}\left( {\frac{{\sqrt { - a} }}{2}\xi } \right)}}{{b + 2\varepsilon \sqrt { - ac} \cot \left( {\frac{{\sqrt { - a} }}{2}\xi } \right)}} | a < 0, c > 0 |
| 11 | - \frac{a}{b}\left[ {1 + \varepsilon \tan h\left( {\frac{{\sqrt a }}{2}\xi } \right)} \right] | a > 0, Δ = 0 |
| 12 | - \frac{a}{b}\left[ {1 + \varepsilon \cot h\left( {\frac{{\sqrt a }}{2}\xi } \right)} \right] | a > 0, Δ = 0 |
| 13 | \frac{{4a{e^{\varepsilon \sqrt a \xi }}}}{{{{\left( {{e^{\varepsilon \sqrt a \xi }} - b} \right)}^2} - 4ac}} | a > 0 |
| 14 | \frac{{ \pm 4a{e^{\varepsilon \sqrt a \xi }}}}{{1 - 4ac{e^{2\varepsilon \sqrt a \xi }}}} | |
