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Unformatted text preview: and show that the system is its own orthogonal trajectory. 2. Show that (4 x + 3 y + 1) dx + (3 x + 2 y + 1) dy = 0 represents a family of hyperbolas having as asymptotes the lines x + y = 0 and 2 x + y + 1 = 0 3. If dv dt = g (1v 2 k 2 ) and v = 0 if t = 0, prove that v = tanh gt k ....
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 Spring '08
 TUNCER

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