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Unformatted text preview: ..................................................................................................................................... ............................................................................................................................................... ............................................................................................................................................... ............................................................................................................................................... ............................................................................................................................................... (Total 6 marks) 537 781. Solve the differential equation x dy – y2 = 1, given that y = 0 when x = 2. Give your answer in dx the form y = f(x). ............................................................................................................................................... ............................................................................................................................................... ............................................................................................................................................... ............................................................................................................................................... ............................................................................................................................................... ............................................................................................................................................... ............................................................................................................................................... ............................................................................................................................................... ............................................................................................................................................... ............................................................................................................................................... ............................................................................................................................................... ............................................................................................................................................... (Total 6 marks) 538 782. The square matrix X is such that X3 = 0. Show that the inverse of the matrix (I – X) is I + X + X2. ............................................................................................................................................... ............................................................................................................................................... ............................................................................................................................................... .............................................................
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## This note was uploaded on 06/24/2013 for the course HISTORY exam taught by Professor Apple during the Fall '13 term at Berlin Brothersvalley Shs.

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