Question: 1. A continuous medium with density p = p(x, t) obeys the mass conservation law and, in the absence of sources, undergoes a process described

 1. A continuous medium with density p = p(x, t) obeys

1. A continuous medium with density p = p(x, t) obeys the mass conservation law and, in the absence of sources, undergoes a process described by flux j = p p. The system is initially primed in the state po(I) at time t = 0. Use the method of characteristics to determine p for t >0. [15 marks]

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