{"type":"rich","version":"1.0","title":"Variation of parameters: ansatz and determining conditions","html":"<span class=\"wb-embed wb-embed-math\" data-latex=\"y_{p}=u_{1}(x)\\,y_{1}+u_{2}(x)\\,y_{2},\\qquad u_{1}'y_{1}+u_{2}'y_{2}=0,\\qquad u_{1}'y_{1}'+u_{2}'y_{2}'=g(x)\">y_{p}=u_{1}(x)\\,y_{1}+u_{2}(x)\\,y_{2},\\qquad u_{1}'y_{1}+u_{2}'y_{2}=0,\\qquad u_{1}'y_{1}'+u_{2}'y_{2}'=g(x)</span>","width":640,"height":320}