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Homework Help: Equation of a curve

  1. Mar 17, 2009 #1
    1. The problem statement, all variables and given/known data

    A curve passes through the point (0, 9) and has the property that the slope of the curve at every point P is twice the y-coordinate of P. What is the equation of the curve?

    2. Relevant equations

    3. The attempt at a solution

    im thinking the slope would then be 18...but i haven't gotten much farther than that
  2. jcsd
  3. Mar 17, 2009 #2
    Keep in mind that derivative equals slope at a given point.
  4. Mar 17, 2009 #3


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    Science Advisor
    Homework Helper

    Right. And slope=derivative. So you want to solve the differential equation y'(x)=2*y(x).
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