MATH2965 Intro To PDEs Advanced lecture Notes typed

Description

Typed up class notes using word Equation Editor. Topics: ODES: 1st/2nd order homogeneous/non homeogeousn ODEs. Variations of parameters. Reduction of Order. Euler-Cauchy ODEs. Taylor series/Method of Frobenius. Bessel functions PDES: Heat equation/wave equation/ Laplace equation for 2 and 3 dimensions. Homogeneous and non homogeneous. Laplace transforms, Fourier transforms. Method of characteristics to solve linear, semi linear and quasilinear PDEs