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

Laplace transform

Def. and motivation - exponential order alpha - Laplace transforms of the derivatives

Laplace transform of tf(t), Gamma function

Example in using Laplace to solve an IVP - Laplace transform of tf(t) - Def. of Gamma function - Laplace transform of t^(-1/2)

Gamma, Heaviside

Gamma function - translation on s-axis - Heaviside function - examples of such