Dynamics/Solving Ordinary Differential Equations

Introduction edit

In dynamics and control, 2nd-order ordinary differential equations of a single variable are very common. For example, you may recall arguably the most famous example for a mass-spring-damper system given by the following:


where  ,  , and   describe the displacement, velocity, and acceleration of a system with a moving mass  , damping coefficient  , and a spring coefficient  .

To cast this system in the form of a state-space model/representation that involves a series of 1st-order differential equations

Topics edit

  1. Kinematics
  2. Newtonian Dynamics
  3. Analytical Dynamics
  4. Linearization
  5. Solving Ordinary Differential Equations