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Unformatted text preview: integrable (that is < dx x g ) ( | ), and suppose that we wish to find such a function f that satisfies the differential equation: < < = + x x g x f x f , ) ( ) ( ) ( ' ' 9. Fourier transform the differential equation and thereby show that any suitably regular solution can be written in the form = du u g e x f u x ) ( 2 1 ) ( | | 10. Find the function f and sketch its graph when ). ( ) ( x x g = Total : 10 pts (1 point each)...
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- Spring '08