fall_07_solutions - Fall 07 Prelim 1 Answers 1.(a) (b) ln 1...

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Unformatted text preview: Fall 07 Prelim 1 Answers 1.(a) (b) ln 1 2 ln |1 + y 2 | = −x − x−1 + C y 2−y = 8x + C 1 C ex −2− sin x − cos x 2 2 2. First order, non-linear, y = 3. 26 4. v = c 2 G M (ln R − ln r) + v0 , rmax = R exp 2GM 2 5.cin =3/10 g/kilo-liter, max = 45/4 g. 1 ...
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