>
|
|
>
|
|
| (1) |
>
|
|
| (2) |
2nd order linear ODE with constant coefficients with a characteristic polynomial that has real roots.
>
|
|
| (3) |
| (4) |
>
|
|
| (5) |
| (6) |
2nd order linear ODE with constant coefficients with a repeated root.
>
|
|
| (7) |
| (8) |
>
|
|
| (9) |
| (10) |
2nd order linear ODE with a pair of complex conjugate roots.
>
|
|
| (11) |
| (12) |
>
|
|
| (13) |
| (14) |
2nd order linear ODE with forcing function that contains a function that is linearly dependent to a solution to the homogeneous ODE.
>
|
|
| (15) |
| (16) |
>
|
|
| (17) |
| (18) |
Bessel differential equation.
>
|
|
| (19) |
| (20) |
>
|
|
| (21) |
| (22) |
>
|
|
| (23) |
| (24) |
>
|
|
| (25) |
| (26) |
ODEs that can be converted to a Bessel differential equation.
>
|
|
| (27) |
| (28) |
>
|
|
| (29) |
| (30) |
>
|
|
| (31) |
| (32) |
>
|
|
| (33) |
| (34) |
Terminating Laguerre polynomials.
>
|
|
| (35) |
| (36) |
>
|
|
| (37) |
| (38) |
>
|
|
| (39) |
| (40) |
>
|
|
| (41) |
| (42) |
Terminating Legendre polynomials.
>
|
|
| (43) |
| (44) |
>
|
|
| (45) |
| (46) |
>
|
|
| (47) |
| (48) |
>
|
|
| (49) |
| (50) |
Chebyshev differential equation.
>
|
|
| (51) |
| (52) |
>
|
|
| (53) |
| (54) |