Consider the following boundary value problems for first order PEDs. Sketch both the characteristic curves and the boundary value curve. Describe the set of (x,y) for which the solution is uniquely defined. Solve the boundary value problem.
(a) xux + yuy = 2u, with u(x,1) = g(x)
(b) x^2ux + xyuy = u^2, with u(y^2,y) = 1
could anyone please help me with this problem ?