{"type":"rich","version":"1.0","title":"Separation of variables for the heat equation","html":"<span class=\"wb-embed wb-embed-math\" data-latex=\"u=X(x)\\,T(t)\\ \\Rightarrow\\ \\frac{X''}{X}=\\frac{T'}{\\alpha\\,T}=-\\lambda\">u=X(x)\\,T(t)\\ \\Rightarrow\\ \\frac{X''}{X}=\\frac{T'}{\\alpha\\,T}=-\\lambda</span>","width":640,"height":320}