The input and output model of complex differential equations

Description
The input and output model of complex differential equations are discussed. The solution of such a differential equation is discussed in which the input is sinusoidal. Both polar and Cartesian methods of solving this equation are explained. The specific cases of basic form of first order linear differential equation are reviewed. Numerical problems on this topic such that the mixing problem, growth, decay etc are explained.
Prof. Arthur Mattuck, Maths, 18.03.Differential Equations, Spring 2010: 8: Continuation: Massachusetts Institute of Technology: MIT Open Course Ware),http://ocw.mit.edu (Accessed November 5, 2011). License: Creative Commons BY-NC-SA: http://ocw.mit.edu/terms/#cc