Annihilator Method, Euler's equation

annihilator method to determine a form of the particular solution phi - Euler's equation and how to solve it

Cauchy-Euler, Green's function, intro to system

How to solve a Cauchy-Euler equation - Def. of Green's function and its use - Intro. to a system of linear DEs

Higher order nonlinear DEs

Matching up the coefficients in the answers of a linear system of DEs - Higher order nonlinear DEs where either dependent or independent variable is missing completely from the equation

higher order nonlinear DE

higher order nonlinear DE: none of the above cases - Def: ordinary point and singular point - series solution at an ordinary point

radius of convergence, soln near regular singular point

How to determine the radius of convergence of a series solution - Def. of regular or irregular singular points - How to find a series solution near a regular singular point