Author Topic: Home Assignment 2 problem 1(a)  (Read 772 times)

Rhamel

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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 »
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Victor Ivrii

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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"