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On this problem, be sure to discuss the dynamic behavior and characteristics of the graphs. 3...

On this problem, be sure to discuss the dynamic behavior and characteristics of the graphs.

3 (a) Solve AND find the characteristics curve for the eqtn :  ut + (x-t)ux = 0.

(b) Find the solution to the initial value problem u(0, x) = e^{-x^2},

(c) and discuss its dynamic behavior.

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