2 quiestions for diffrential equation

Math 319 Online

Techniques in Ordinary Differential Equations

Fall 2014

Homework problems to be submitted

Print your name in CAPITAL LETTERS on your assignment. Write clearly and legibly. Show all work and steps, and number your pages. Scan your assignment as a single PDF file and submit it in the Dropbox in Learn@UW.

Assignment 8 (due Sunday November 2, 14 )

Section 6.5: 4a, 7a, 11a

Section 6.6: 3, 7, 9, 18

Additional Problems

Problem 1 : Use the unit step function uc(t) to find L{f}, where

f(t) =

 

sin t, 0 ≤ t < π 2 ;

2 sin t, π 2 ≤ t < π;

cos t, t ≥ π.

Problem 2 : Use the Laplace transform to solve the initial value problem

y′′ − 4y′ + 3y = {

−1, 0 ≤ t < 1; 1, t ≥ 1. y(0) = 0 = y

′(0).