section_path: Applications/Dynamic equations
section_name: Dynamic equations
paragraph_text: Dynamic equations
  
  In differential equations, it is common to first find all complex roots r of the characteristic equation of a linear differential equation or equation system and then attempt to solve the system in terms of base functions of the form f (t) = e. Likewise, in difference equations, the complex roots r of the characteristic equation of the difference equation system are used, to attempt to solve the system in terms of base functions of the form f (t) = r.