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problem 4
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problem 4
problem 4
In Exercises 4 and 5, proceed as in Exercises 5-7 of the previous section for the problem UttUxx, = x > 0,t> 0, u(x,0) = f(x), u₁(x,0) = 0, u(0, t) = 0. That is, a) Draw snapshots of the solution for various time t. b) Graph the solution in x-t-u space make sure you can see the "charac- teristic directions," both before and after reflection. 2, if 2 ≤ x ≤ 5, 4. For f(x)= = 0, otherwise.
In Exercises 4 and 5, proceed as in Exercises 5-7 of the previous section for the problem UttUxx, = x > 0,t> 0, u(x,0) = f(x), u₁(x,0) = 0, u(0, t) = 0. That is, a) Draw snapshots of the solution for various time t. b) Graph the solution in x-t-u space make sure you can see the "charac- teristic directions," both before and after reflection. 2, if 2 ≤ x ≤ 5, 4. For f(x)= = 0, otherwise.
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