Unformatted text preview: integrable (that is âˆž < âˆ« âˆž âˆž âˆ’ dx x g ) (  ), and suppose that we wish to find such a function f that satisfies the differential equation: âˆž < < âˆž âˆ’ = + âˆ’ 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 âˆ« âˆž âˆž âˆ’ âˆ’ âˆ’ = du u g e x f u x ) ( 2 1 ) (   10. Find the function f and sketch its graph when ). ( ) ( x x g Î = Total : 10 pts (1 point each)...
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 Spring '08
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 matlab, Derivative, Continuous function, 10 pts

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