{"type":"rich","version":"1.0","title":"Heat equation solved by separation of variables (Fourier sine series)","html":"<span class=\"wb-embed wb-embed-math\" data-latex=\"u(x,t)=\\sum_{n=1}^{\\infty}b_{n}\\sin\\Bigl(\\frac{n\\pi x}{L}\\Bigr)\\,e^{-\\alpha (n\\pi/L)^{2}t}\">u(x,t)=\\sum_{n=1}^{\\infty}b_{n}\\sin\\Bigl(\\frac{n\\pi x}{L}\\Bigr)\\,e^{-\\alpha (n\\pi/L)^{2}t}</span>","width":640,"height":320}