Ordinary Differential Equations -UQU

1 Definition of a differential equation: solutions, degree and order, linearity, Elimination of / arbitrary constants 2 First Order Differential Equations: Existence theorem, separation of / variables, homogeneous equations, exact equations, linear equations, / method of integrating factors, non-exact equations and Bernoulli equation 3 Homogeneous higher order linear Equations with constant coefficients 4 Non-homogeneous linear Equations: undetermined coefficients, variation of parameters, Inverse differential operator 5 The Laplace Transform