Recent content by EnriqueOrtizMartinez
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Deduce the formula of D'Alembert with Fourier transform
Well what I did was first use the inverse Fourier transform: $$u(x,t)=\frac{1}{2\pi }\int_{-\infty }^{\infty }\tilde{u}(\xi ,t)e^{-i\xi x}d\xi$$ I substitute the equation that was given to me by obtaining:$$u(x,t)=\frac{1}{2\pi }\left \{ \int_{-\infty }^{\infty}\tilde{f}(\xi)cos(c\xi...- EnriqueOrtizMartinez
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- D'alembert Formula Fourier Fourier transform Transform
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- Forum: Calculus and Beyond Homework Help
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Fourier series for a series of functions
## ## Well I start with equation 1): ## e^{b\theta }=\frac{sinh(b\pi )}{\pi }\sum_{-\infty }^{\infty }\frac{(-1)^{n}}{b-in}e^{in\theta } ## If ## \theta =0 ## ##e^{b(0)}=\frac{sinh(b\pi )}{\pi }\sum_{-\infty }^{\infty }\frac{(-1)^{n}}{b-in}e^{in(0) }## ##1=\frac{sinh(b\pi )}{\pi...- EnriqueOrtizMartinez
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- Fourier Fourier analysis Fourier series Functions Series
- Replies: 1
- Forum: Calculus and Beyond Homework Help