{"type":"rich","version":"1.0","title":"Frobenius solution of the Bessel equation and its indicial equation","html":"<span class=\"wb-embed wb-embed-math\" data-latex=\"x^{2}y''+x\\,y'+(x^{2}-\\nu^{2})\\,y=0;\\qquad r^{2}-\\nu^{2}=0\\ \\Rightarrow\\ r=\\pm\\nu;\\qquad y=C_{1}J_{\\nu}(x)+C_{2}Y_{\\nu}(x)\">x^{2}y''+x\\,y'+(x^{2}-\\nu^{2})\\,y=0;\\qquad r^{2}-\\nu^{2}=0\\ \\Rightarrow\\ r=\\pm\\nu;\\qquad y=C_{1}J_{\\nu}(x)+C_{2}Y_{\\nu}(x)</span>","width":640,"height":320}