Differential Equations Lecture Work Solutions 267

Differential Equations Lecture Work Solutions 267 - t 0.8...

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Unformatted text preview: t 0.8 0.6 ρ =4 xs =(37/3)t 0.4 0.2 ρ =3 0 −0.2 −2 −1 0 1 2 3 4 x 5 6 7 8 Figure 49: Characteristics for problem 2 Thus xs (0) = 0 and the shock characteristic is xs = 37 t 3 See figure for the characteristic curves including the shock’s. The solution in region I above the shock chracteristic is ρ = 4 and below (region II) is ρ = 3. 267 ...
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