need scan of handwritten complete solution

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znafvoungvn

Mathematics

university of northingam

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answer must be 100 percent correct and accurate and scanned handwritten .need to be done within time limit

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3. Let p(x, t) denote the density of cars on a one-dimensional road, supposed to satisfy Ps+ (+ pu") px = 0 with v(p) = v) (1-(plem)?). The car velocity v depends on two positive constants vo and Pm For any (x,t), you can assume that 0 p(x,t) SPM. Consider the initial condition po(x) = { P.V1 - x for osx 0. (5 marks)
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