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Using calculus to verify

  1. Sep 6, 2010 #1
    I'm supposed to use calculus to verify that v(t) = sqrt(gm/cd)tanh((sqrt(gcd/m)t)

    is a solution to dv/dt=g-(cd/m)v2. I don't understand what was done to achieve the solution.
     
  2. jcsd
  3. Sep 6, 2010 #2

    Hurkyl

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    While the derivation isn't hard, you aren't being asked to solve the differential equation as if you had no guess at the form of the solution space -- you are simply being asked to verify that that is a solution.
     
  4. Sep 7, 2010 #3
    Agreed, what you list as a question is different than what you actually profess confusion in understanding.

    The question wants you to verify v(t) is a solution. Did you misunderstand, or did you really wish to discuss how to obtain that solution?
     
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