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Unformatted text preview: 5.) Find the general solution of the following dierential equation xyy = 2 x ln( x ) . 6 6.) Consider the function(transformation) from R 2 to R 2 dened by f ( x y ) = x 2y 2 x2 . a.) Find all solutions of f ( x y ) = . b.) Is f invertible? If so, nd a formula for the inverse. If not, explain why not. 7 7.) Consider the following transformations from R 2 to R 2 . Which ones are linear? Explain your answers and for those that are linear, write down the corresponding matrix. a.) f ( x y ) = y + x yx . b.) g ( x y ) =  x  yx . c.) h ( x y ) = x 2y 2 x 2 + y 2 . 8...
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This note was uploaded on 04/27/2008 for the course MATH 1502 taught by Professor Mcclain during the Fall '07 term at Georgia Institute of Technology.
 Fall '07
 McClain
 Calculus, Limits

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