This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: a = ¼, 1, 4 and, as in part a), plot the function ( ) y t for all of these simulations on another graph of y vs. t . c) Find the analytical solution by use of the Laplace transform for arbitrary values of the parameters a and c . Problem #2. Simulate the 2 ndorder ODE 2 2 2 ( 1) d y dy y u t dt dt λ + + =subject to the initial conditions (0) '(0) y y = = . You should note that the time has been scaled such that the natural frequency is ω = 1 ( i.e. , a dimensionless time is used equivalent to τ = ωt ). a) Simulate the equation for the values of the parameter = 0.1, 0.2, 0.4, 0.7, 1.0, 1.5 , and plot the results on a single graph of y vs. t . b) Find the analytical solution by use of the Laplace transform for arbitrary values of the parameter λ ....
View
Full
Document
This note was uploaded on 11/08/2009 for the course MATH 245 at USC.
 '07
 Alexander
 Math

Click to edit the document details