{"type":"rich","version":"1.0","title":"Reduction of order for ordinary differential equations","html":"<span class=\"wb-embed wb-embed-math\" data-latex=\"F\\bigl(x,y,y',y'',\\ldots,y^{(n)}\\bigr)=0 \\Longrightarrow \\begin{cases} y_2=y_1' \\\\ y_3=y_2' \\\\ \\vdots \\\\ y_n=y_{n-1}' \\\\ y_n'=f(x,y_1,y_2,\\ldots,y_n) \\end{cases}\">F\\bigl(x,y,y',y'',\\ldots,y^{(n)}\\bigr)=0 \\Longrightarrow \\begin{cases} y_2=y_1' \\\\ y_3=y_2' \\\\ \\vdots \\\\ y_n=y_{n-1}' \\\\ y_n'=f(x,y_1,y_2,\\ldots,y_n) \\end{cases}</span>","width":640,"height":320}