Introduction

Linear Constant Coefficient Equations:

• dynamical systems;
• vibrating systems;
• linearized systems;
• part of the solution of multidimensional problems;
• ...

General form:

where are all constants but q can be any function of x.

Solution of the homogeneous equation:

Homogeneous equation:

Special solutions are provided that is a root of the characteristic polynomial:

If all roots are different, the general solution of the homogeneous equation is