# homework-05 - ME 391 Homework 5 Assigned Apr 8 2011 Due(30...

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Unformatted text preview: ME 391 Homework 5 Assigned: Apr 8, 2011 Due: Apr 15, 2011 (30 pts + 10 extra credit) Problem 1: Graph the following function and ﬁnd it’s Laplace Transform —1 x S 4 (5 PtS) f (x) ={1 } x>4 Problem 2: Solve using the Derivatives of Transforms: L{t2 cost} (5 ptS) Problem 3: Solve by using Convolutions: L‘1 + s(s + 4) (5 ptS) Problem 4a: Find AB and BA for the following two matrices l 2 5 6 3 4 7 8 (9pts) A=| B= 4b): What law does this represent? (1 pt) Problem 5: Evaluate the determinant of the following matrix using the Cofactor 2 ‘1 ‘1 (10 pts) Expansion A= ' 3 2 l 5 0 " 2 Extra Credit: Solve the Linear System using Laplace (lOpts) l) y'+z = x 2) z'+4 y = 0 y(0) =1, Z(O)='1 ...
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