1: LINEAR ORDINARY DIFFERENTIAL EQUATIONS

The following sections are included:

• First-Order Equations

• Second-Order Equations with Constant Coefficients

• Euler's Homogeneous Equation

• Method of Reduction of Order

• Particular Integrals of Second-Order Equations

• Method of Variation of Parameters

• Method of Frobenius

• Bessel Functions of Integer Order

• The Sturm–Liouville Equation

• Fourier Series

• Generalised Functions and Green's Function