Формула Бочаров

$y(x)=e^{-\int \!a(x)\,dx}\left(\int \!b(x)\mu (x)\,dx+C\right)$

$\left\{{\begin{array}{lcl}y^{{(n)}}=f(x,y,y',y'',...,y^{{(n-1)}}),\\{}\\y(x_{0})=y_{0},\ y'(x_{0})=y_{0}^{{(1)}},y''(x_{0})=y_{0}^{{(2)}},\,\ldots ,\,y^{{(n-1)}}(x_{0})=y_{0}^{{(n-1)}}.\end{array}}\right.$

$L_{n}(y)\equiv {\frac {d^{n}y}{dt^{n}}}+A_{1}(t){\frac {d^{n-1}y}{dt^{n-1}}}+\cdots +A_{n-1}(t){\frac {dy}{dt}}+A_{n}(t)y$