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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 Fall '11
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