Question #23826

Consider the equation yu_x - xu_y = 0 (y>0). Check for each of the following initial conditions whether the problem is solvable. If it is solvable, find a solution. If it is not, explain why:
(a) u(x,0) = x^2
(b) u(x,0) = x
(c) u(x,0) = x, x>0

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