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Unformatted text preview: f that satisfy each of the following inhomogeneous equations. 8. (1pt) ) ( ) ( ) 1 ( 4 x x f D = ; 9. (1pt) ) ( ) ( ) 1 ( 4 x x f D = + ; Here D denotes the derivative operator. Thus ) ( ) ( 4 4 4 x dx f d x f D = . Hint: Fourier transform the equation, solve the algebraic equation thus obtained, and then Fourier invert the solution. IV. Find all generalized functions f that satisfy: 10 . (1pt) ) sin( ) ( ) 1 ( 2 x x f D = ; Hint: Use convolution with the Greens function, or Fourier transform the equation. Total : 10 pts (1 point each)...
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 Spring '08
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 matlab, Equations

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