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Implicit Differentiation and understanding the question?

  1. Sep 4, 2009 #1
    Hi, I am working on my differential equations excercises and I encountered 2 problems.

    First one is, I just wanted to check if I did this implicit differenriation right
    1. The problem statement, all variables and given/known data
    [tex]t^{2}[/tex] [tex]\bullet[/tex] y +[tex]y^{2}[/tex] = C where is is a constant

    3. The attempt at a solution
    My solution is
    y [tex]\bullet[/tex] [tex]\frac{dy}{dt}[/tex] * (2t+2)=0



    My 2nd question is understanding the question of the problem.
    Its phrased like this:
    "Find values of m so that y=exp(mx) is a solution of y'+2y=0"

    I'm not sure exactly what to do, I've tried plugging in y=exp(mx) directly into the differential equation but I'm not sure what to do next. I've also tried solving the differential equation but I don't know where to go from there.
    Any tips?


    Thanks for your time.
     
  2. jcsd
  3. Sep 4, 2009 #2

    rock.freak667

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    Homework Helper

    I didn't check this one through but, I will assume you used the product rule for t2y


    yes plug it into the equation, and since emx≠ 0 for all x, you can divide by it
     
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