MATH2008 Differential Equations and Fourier

This 24 page summary document covers: Laplace equations and in polar coordinates Fourier Transform Bessel Functions Periodic ODEs Wave,heat equations Legendre Polynomials Euler equations Regular singular points

Four questions on linear ordinary differential equations with solutions provided at the end of the document. Utilizes: - Euler equation - Legendre's Equation - Bessel Function

6 questions on partial differential equations with solutions at the end of the document. First 4 questions involve using the initial and boundary conditions Covers: - Diffusion equation - Wave equation