f11week02 - Week 2 2 Homework 2 Chapter 1 Section 7(mixing...

Info iconThis preview shows pages 1–5. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Week 2: 2. Homework 2: Chapter 1, Section 7 (mixing problems only) Chapter 2, Sections 1, 2, 3 Due Monday, Jan 31st 2 Chapter 1: 1.7 Mixing problems (Monday ) Chapter 2: 2.1, 2.2 Matrices, Matrix Algebra (Wednesday ) 2.2 Matrix Algebra (continued), 2.3 Linear Systems (Friday ) 3 Linear DE, Main Step: to solve linear DE dy dx + p ( x ) y = q ( x ) multiply by the integral factor f = e integraltext p dx and use d dx ( fy ) = f ( y ′ + py ) on the left to get d dx ( fy ) = fq. 4 Problem: Inflamable substance, temp T = 50 (F), placed in hot oven, temp T m = 450 (F). After 20 min substance temp T = 150 . Find temp at 40 min. If substance ignites at 350, find time of combustion. Solution: Newton’s Law of cooling: T = T ( t ) temp at time t, dT dt = − k ( T − T m ) , T m = 450 , t in min. ————– dT dt = − k ( T − T m ) , T m = 450 , T (0) = 50 , T (20) = 150 , find T (40) and t c so T ( t c ) = 350 . Method: separation....
View Full Document

This note was uploaded on 11/24/2011 for the course MATH 205 taught by Professor Zhang during the Spring '08 term at Lehigh University .

Page1 / 7

f11week02 - Week 2 2 Homework 2 Chapter 1 Section 7(mixing...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online