University of Florida/Egm6321/F10.TEAM1.WILKS/Mtg23

EGM6321 - Principles of Engineering Analysis 1, Fall 2009

Mtg 23: Thurs, 15Octt09

Page 23-1

HW: Non-homogeneous L2_ODE_VC (cf. K. p28, problem 1.1.ab)

a) $(x-1)y''-xy'+y=x\$

b) $xy''+2y'+xy=x\$

using:
1) Variation of parameters (after knowing $u_{1}(x),u_{2}(x))\$
2) Alternative method: P.21-2 and P.21-3
Engineering application: Motivate L2_ODE_VC

Ware equation: Drums=vibrating membrane
Rectangular membrane
Circular membrane (Bessel functions)
Bessel differential equation
Chladni: Experimental method for vibrating modes of plates

Page 23-2

Wave eq: (PDE) solution by separation of variables