Second order differential equations and methods for solving them are studied.
Methods considered are: Undetermined coefficients, Green’s and Wronskian, principle
of superposition of solutions and variation of constant parameters. Also elucidated upon
are: Construction of Green’s functions and applications to boundary value problems,
Cauchy-Euler, Lagrange and Clairaut equations. Many solved examples and presents
which include Maple ones.
Keywords: Cauchy-Euler equations, Clairaut equations, Green’s function, Lagrange, Maple solved examples, Undetermined coefficients, Variation of constant parameters, Wronskian