Author Topic: Home Assignment 2 problem 1(a)  (Read 2980 times)

Rhamel

  • Jr. Member
  • **
  • Posts: 7
  • Karma: 0
    • View Profile
Home Assignment 2 problem 1(a)
« on: January 15, 2019, 04:12:16 PM »
For problem 1(a) equation 8: $u_t + (x^2+1)u_x = 0$

From solving for the characteristic equation I get $x = \tan(t-k)$ where k is a constant.
 
My question is how would I draw the characteristics in this case? The periodic nature of tan would result in just an indistinguishable blob of lines if I were to plot it out? Should I just draw the lines for one value of k?
« Last Edit: January 15, 2019, 05:03:23 PM by Victor Ivrii »
🌊

Victor Ivrii

  • Administrator
  • Elder Member
  • *****
  • Posts: 2607
  • Karma: 0
    • View Profile
    • Personal website of Victor Ivrii
Re: Home Assignment 2 problem 1(a)
« Reply #1 on: January 15, 2019, 05:04:28 PM »
You draw just a bit more than one period and say "$\pi$-periodic"