hw4 - AE 383 System Dynamics Homework #4 Due: December 6,...

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AE 383 System Dynamics Homework #4 Due: December 6, 2004 1. Linearize the following nonlinear ordinary differential equation around the equilibrium defined by () 1 ft = : 3 27 ( ) yy y f t ++ = ±± ± . 2. Following nonlinear ordinary differential equation is given: q h h + = 2 / 3 ± , where q is the input and h is the output. The system is in equilibrium for 1 , 1 = = e e h q . 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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