• 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

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