Ma 341 Homework One

This is one of three homeworks that will be collected. For full credit please follow my instructions when I supercede the text's instructions. This homework is due May 23 at the beginning of lecture. You may work together on the homework, but you must write up your own work in the end. If you are unsure you have the correct version of the text please check your homework problems against someone who has the correct text (see me in office hours for example). Write these problems neatly, please only write on one side of the paper and leave white space between problems, thanks. I will post a solution to these homeworks shortly after they are collected so no late homeworks are accepted.

  • PROBLEM ONE: Section 2.3 # 20

  • PROBLEM TWO: Section 2.4 # 24

  • PROBLEM THREE: Section 3.3 # 2

  • PROBLEM FOUR: Section 4.4 # 18, (for full credit use the method of annihilators to form y_p)

  • PROBLEM FIVE: Section 4.5 # 20 (for full credit use the method of annihilators to form y_p)

  • PROBLEM SIX: Section 4.6 # 10 (use equation 10 on page 195 please)

  • PROBLEM SEVEN: Section 6.2 # 14

  • PROBLEM EIGHT: Section 6.2 # 18

  • PROBLEM NINE: Section 6.3 # 16

  • PROBLEM TEN: No Section (based on my introduction to complex notes),
    use the imaginary exponential tricks to show that

    cos(x)cos(2x) = (1/2)[cos(3x)+cos(x)]