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Consider the nonuniform transport equation u-u=0. (a) Find and graph the characteristic curves for the equation. (b) Write down the solution with initial data

Consider the nonuniform transport equation u-u=0. (a) Find and graph the characteristic curves for the equation. (b) Write down the solution with initial data 1 u(0, 1) = 72 +1 (c) Graph the solution at times t = 0, 1, 2, 3. (d) What is the limiting solution profile as to?

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