hw4 - 2. Consider the equation dc dt =-kc 3 , c (0) = 2 ....

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Numerical Analysis in Engineering ME 140A, Fall 2007 Homework #4 Due: Thursday Nov 8, 8 am. (Drop HW’s in the assigned box outside CAD lab) November 1, 2007 1. Consider the first order linear equation ( λ is a non-zero constant) λ dy dt = 1 - y, y (0) = 0 . (1) a) Solve equation (1) analytically by finding an integrating factor. b) Using the analytical solution, find an expression for the time t * it takes for y to reach 0.99.
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 2. Consider the equation dc dt =-kc 3 , c (0) = 2 . (2) a) Solve equation (2) analytically by the method of “separation of variables”. b) Classify the equation according to linear/nonlinear, homogeneous/nonhomogeneous, constant coefficient/variable coefficient. c) Find the analytical solution for k = 1. Does c ever go to zero? At what value of t has c decayed to 0.001? 1...
View Full Document

This note was uploaded on 11/05/2009 for the course ME 140A taught by Professor Meiburg during the Fall '08 term at UCSB.

Ask a homework question - tutors are online