HW01 - THE D EPARTMENT OF M ECHANICAL& AEROSPACE E...

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Unformatted text preview: THE D EPARTMENT OF M ECHANICAL & AEROSPACE E NGINEERING U NIVERSITY AT B UFFALO MAE 340: Systems Analysis, Spring 2003 Homework 1, Due: January 21, 2003 For each problem: a) Find x H (t ) b) Find x P (t ) c) Find x (t ) [using initial conditions] d) Sketch x (t ) for 0 ≤ t ≤ 20 && & 1. x + 4 x + 29 x = 5 + 2t x (0) = 0 & x (0) = 1 && & 2. x + 3 x + 2 x = 4 x (0) = 5 & x (0) = 0 x (0) = 0 & x (0) = 0 3. x + 6 x + 8 x = 3 sin( 3t ) && & ...
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