EscherichiaRinku
  • EscherichiaRinku
I've been trying to solve this for ages, but get only long and ugly solutions :( \[f(x) = x^2,\ x \in [0,1]\] \[f(x) = (x-2)^2,\ x \in [1,2]\] Need fourier series of this piecewise function (how do I write them with one big bracket?) and the solution to the PDE (heat equation) \[\frac{\partial^2 u}{\partial x^2} (x,t)= \frac{\partial u}{\partial x} (x,t)\] with \[\frac{\partial u}{\partial x} (0,t)= \frac{\partial u}{\partial x} (2,t) = 0\] and \[u(x,0) = f(x),\ x \in [0,2]\]
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
JamesJ
  • JamesJ
I wouldn't be surprised if the solutions here aren't pretty, as the boundary condition function f isn't so elementary in Fourier series terms.

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