Differential Equations Questions

Transcribed Text

In Problems 47-50 find the complex Fourier integral representation of the function, and then convert to real form. { lat (- 1 if O<1<1 e if 47 f(t) = 0 otherwise 54 f '(t) b1 <1 < b2 = otherwise 1+1 if - -15150 1 if O-++ if 05151 if 11/>1 55 f(t) = 2t-1 if 1<1<2 1 if -2<15- otherwise, 49 f(t)= - if -10 otherwise 57 Show that 50 f(t)= 2 if 1 <1 0 if 11/>1

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