The "Classical" Method for Solving Differential Equations

http://adampanagos.org In this course we've shown how the full solution to a differential equation with initial conditions and an arbitrary signal f(t) can be found by summing the zero-input response and zero-state response. A more "classical" approach to this problem involves breaking the solution into the natural response and forced response, where the form of the forced response is "guessed" or looked up in a table based on the form of the input signal. This is a common way of solving the equation as usually presented in a differential equations course. This video makes some general comments and compares these two approaches. If you enjoyed my videos please "Like", "Subscribe", and visit http://adampanagos.org to setup your member account to get access to downloadable slides, Matlab code, an exam archive with solutions, and exclusive members-only videos. Thanks for watching!