{"type":"rich","version":"1.0","title":"General form of a differential equation of order n","html":"<span class=\"wb-embed wb-embed-math\" data-latex=\"F\\!\\left(x_1,\\dots,x_m,\\;u,\\;\\frac{\\partial u}{\\partial x_1},\\dots,\\frac{\\partial u}{\\partial x_m},\\;\\frac{\\partial^2u}{\\partial x_1^2},\\dots,\\frac{\\partial^\\alpha u}{\\partial x_1^{\\alpha_1}\\cdots\\partial x_m^{\\alpha_m}},\\dots\\right)=0,\n\\qquad \\alpha=(\\alpha_1,\\dots,\\alpha_m)\\in\\mathbb N^m.\">F\\!\\left(x_1,\\dots,x_m,\\;u,\\;\\frac{\\partial u}{\\partial x_1},\\dots,\\frac{\\partial u}{\\partial x_m},\\;\\frac{\\partial^2u}{\\partial x_1^2},\\dots,\\frac{\\partial^\\alpha u}{\\partial x_1^{\\alpha_1}\\cdots\\partial x_m^{\\alpha_m}},\\dots\\right)=0,\n\\qquad \\alpha=(\\alpha_1,\\dots,\\alpha_m)\\in\\mathbb N^m.</span><footer><cite class=\"wb-embed-author\">Rong Martin-Siebler ZHOU</cite></footer>","width":640,"height":320}