Is it just me or is the solution to problem #7 here: http://ocw.mit.edu/courses/mathematics/18-03sc-differential-equations-fall-2011/unit-i-first-order-differential-equations/basic-de-and-separable-equations/MIT18_03SCF11_ps1_s1s.pdf totally ridiculous and wrong? I feel like differential equations should be tools for logic not just take logic and hijack it. If you look at part b of the question, there's just no way we are provided with enough information to answer the question. Period. Anyone with me?

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