2nd order linear ODE with constant coefficients with a characteristic polynomial that has real roots.
2nd order linear ODE with constant coefficients with a repeated root.
2nd order linear ODE with a pair of complex conjugate roots.
2nd order linear ODE with forcing function that contains a function that is linearly dependent to a solution to the homogeneous ODE.
Bessel differential equation.
ODEs that can be converted to a Bessel differential equation.
Terminating Laguerre polynomials.
Terminating Legendre polynomials.
Chebyshev differential equation.