Unformatted text preview: = cos 4x , y ' = y' = . 3] The function f x is periodic with period 2 . Over [− , ] , it is given by f x = 1 if x is in [−/ 2, / 2 ] f x = otherwise. Find a Fourier series representation of f x , valid over the entire real line. Possibly useful formulas: Quadratic formula: x = − b ± b 2 − 4 a c 2 a Integration by parts: ∫ a b f x g ' x dx = f x g x ] a b − ∫ a b f ' x g x dx...
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- Spring '11
- Fourier Series, Partial differential equation, dx, Engineering Analysis Exam