{"type":"rich","version":"1.0","title":"Pendulum as a first-order system","html":"<span class=\"wb-embed wb-embed-math\" data-latex=\"\\frac{d\\theta}{dt}=v,\\qquad \\frac{dv}{dt}=-\\frac{g}{L}\\sin\\theta,\\qquad \\text{equilibria at }(\\theta,v)=(0,0)\\ \\text{and}\\ (\\pi,0)\">\\frac{d\\theta}{dt}=v,\\qquad \\frac{dv}{dt}=-\\frac{g}{L}\\sin\\theta,\\qquad \\text{equilibria at }(\\theta,v)=(0,0)\\ \\text{and}\\ (\\pi,0)</span>","width":640,"height":320}