1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Equation of a curve (help?)

  1. Jan 9, 2010 #1
    1. The problem statement, all variables and given/known data

    Find the equation of the curve that passes through the point (1,3) and has a slope of y/x^2 at any point (x,y).

    2. Relevant equations

    Is there any general equation for the equation of the curve?

    3. The attempt at a solution

    the only problem in my hw im stuck at, do you have to integrate y/x^2? im quite confused as to how one could get the exact equation of this curve. any help would be appreciated
  2. jcsd
  3. Jan 9, 2010 #2
    y' = y/x^2


    solve and sub for constant using codition point (1,3) lies on y=f(x)
  4. Jan 10, 2010 #3


    User Avatar
    Science Advisor

    Excellent suggestion.

    Of course, this is dy/dx= y/x^2 which can be written as ydy= dx/x^2. Integrate both sides.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook