{"type":"rich","version":"1.0","title":"Characteristic equation from an exponential trial solution","html":"<span class=\"wb-embed wb-embed-math\" data-latex=\"y=e^{rx}\\ \\Rightarrow\\ (r^{2}-3r+2)\\,e^{rx}=0\\ \\Rightarrow\\ r^{2}-3r+2=(r-1)(r-2)=0\">y=e^{rx}\\ \\Rightarrow\\ (r^{2}-3r+2)\\,e^{rx}=0\\ \\Rightarrow\\ r^{2}-3r+2=(r-1)(r-2)=0</span>","width":640,"height":320}