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OpenStudy (anonymous):
Consider the first order initial-value problem uz + x ux + y uy = u, u(x,y,0) = h(x,y). (a) Is the hypersurface (hyperplane) Σ := {z = 0} noncharacteristic at (every point) (x0,y0,0) ∈R3? (Justify your answer!) (b) Solve this initial-value problem.
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