AE 383 System Dynamics Homework #4 Due: December 6, 2004 1. Linearize the following nonlinear ordinary differential equation around the equilibrium defined by () 1ft=:327( )yyy ft++=±±±. 2. Following nonlinear ordinary differential equation is given: qhh+−=2/3±, where qis the input and his the output. The system is in equilibrium for 1,1==eehq. a. Linearize this system for the equilibrium given. b. Find an approximate solution to the equations if 2.1=q. (Hint: use Laplace transformation techniques).
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