{"type":"rich","version":"1.0","title":"Complex characteristic roots example: the harmonic oscillator y''+y=0","html":"<span class=\"wb-embed wb-embed-math\" data-latex=\"y''+y=0\\ \\Rightarrow\\ r^{2}+1=0\\ \\Rightarrow\\ r=\\pm i\\ \\Rightarrow\\ y=C_{1}\\cos x+C_{2}\\sin x\">y''+y=0\\ \\Rightarrow\\ r^{2}+1=0\\ \\Rightarrow\\ r=\\pm i\\ \\Rightarrow\\ y=C_{1}\\cos x+C_{2}\\sin x</span>","width":640,"height":320}