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{x←a, y←b, z←v}{x←u, v←b} By contrast, the following substitutions are noncomposable Here, x occurs in both the domain of the first substitution and the range of the second substitution, violating the definition of composability {x←a, y←b, z←v}{x←u, v←x} The importance of composability is that it ensures preservation ofTitle register_volume42_issue51pdf Author acaulk Created Date ZY u xy= 0 (Hint Let v= u y) 3 Solve the equation (1 x2)u x u y= 0 Sketch some of the characteristic curves 5 Solve the equation p 1 x2u x u y= 0 with the condition u(0;y) = y 6 (a) Solve the equation yu x xu y= 0 with u(0;y) = e 2y (b) In which region of the xyplane is the solution uniquely determined?

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