{"type":"rich","version":"1.0","title":"Substituting yp into the forced equation: the homogeneous brackets vanish","html":"<span class=\"wb-embed wb-embed-math\" data-latex=\"y_{p}''+p\\,y_{p}'+q\\,y_{p}=u_{1}\\bigl[y_{1}''+p\\,y_{1}'+q\\,y_{1}\\bigr]+u_{2}\\bigl[y_{2}''+p\\,y_{2}'+q\\,y_{2}\\bigr]+u_{1}'y_{1}'+u_{2}'y_{2}'=u_{1}'y_{1}'+u_{2}'y_{2}'\">y_{p}''+p\\,y_{p}'+q\\,y_{p}=u_{1}\\bigl[y_{1}''+p\\,y_{1}'+q\\,y_{1}\\bigr]+u_{2}\\bigl[y_{2}''+p\\,y_{2}'+q\\,y_{2}\\bigr]+u_{1}'y_{1}'+u_{2}'y_{2}'=u_{1}'y_{1}'+u_{2}'y_{2}'</span>","width":640,"height":320}