ASE 330M – Linear Systems: Fall 2008 Homework #3: Due 10/7/2008 by 5PM Consider the linear systems described by the differential equations below: a) 2561DDytDut 6ut02,01yyb) 244DDytDut sin 3t03,04c) 12ytD 3te01,01d) 2932DytDut t00,06e) 241342ytDut 2te05,015.98Problem #1: For cases (a)-(e), find the characteristic equation, the characteristic roots, and the characteristic modes. Use these results to identify the general formof the zero-input solutionfor each case. (Hint: You DO NOT need to evaluate coefficients using initial conditions yet) Problem #2: For cases (a)-(e), find the zero-state solutionassociated with each of the inputs provided.
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