Question: 2. Consider the equation Ou (1 + x') du +y dy = 0. Find the characteristic curves in the explicit form. Hence obtain the general

2. Consider the equation Ou (1 + x') du +y dy = 0. Find the characteristic curves in the explicit form. Hence obtain the general solution of the PDE. For each of the following boundary conditions, find the particular solution if it exists: (a) u(0, y) = Iny, for the domain r 2 0, y > 0: (b) u(x, 0) = Inc, for the domain r > 0, y 2 0. If the solution does not exist, explain why not, i.e. what is wrong with the boundary condition

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