{"type":"rich","version":"1.0","title":"General linear differential equation of order n","html":"<span class=\"wb-embed wb-embed-math\" data-latex=\"\\sum_{|\\alpha|\\le m} a_\\alpha(\\mathbf{x})\\,D^\\alpha u(\\mathbf{x})=f(\\mathbf{x}),\n\\qquad \n\\mathbf{x}=(x_1,\\dots,x_d).\">\\sum_{|\\alpha|\\le m} a_\\alpha(\\mathbf{x})\\,D^\\alpha u(\\mathbf{x})=f(\\mathbf{x}),\n\\qquad \n\\mathbf{x}=(x_1,\\dots,x_d).</span><div class=\"wb-embed-note\"><p>Where:\n</p><p>$a_\\alpha(\\mathbf{x})$ and $f(\\mathbf{x})$ are functions of $\\mathbf{x}$;\n</p><p>$$\n\\alpha=(\\alpha_1,\\dots,\\alpha_d),\n\\qquad \n|\\alpha|=\\alpha_1+\\cdots+\\alpha_d;\n$$\n</p><p>and \n</p><p>$$\nD^\\alpha u=\n\\frac{\\partial^{|\\alpha|}u}\n{\\partial x_1^{\\alpha_1}\\cdots \\partial x_d^{\\alpha_d}}.\n$$\n</p></div><footer><cite class=\"wb-embed-author\">Rong Martin-Siebler ZHOU</cite></footer>","width":640,"height":320}