Wave equation: general solution via Fourier transform

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Here's how to find the most general solution of the wave equation using the Fourier transform. In the video I also discuss the interpretation of the resulting solution.

About me: I studied Physics at the University of Cambridge, then stayed on to get a PhD in Astronomy. During my PhD, I also spent four years teaching Physics undergraduates at the university. Now, I'm working as a private tutor, teaching Physics & Maths up to A Level standard.

#physics #waves #fouriertransform #differentialequation #partialdifferentialequation #partialderivatives #exponential #waveequation #string #calculus #integration #mathematics #maths #math #science #education
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Thank you for such a short explanation...it will really help me for my term end Semester exams...love frm India ❤❤

deeprajdey
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Do we need to assume that the solution is square integrable? Otherwise the fouriee transform may not exist.

abdurrahmanlabib
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Sir please teach application of Fourier transform :diffusion equation :Flow of heat in an infinite and in a semi infinite medium.
Wave equation : vibration of an infinite string and of a semi infinite string.

sruthij