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!

Functions of more than one variable nomenclature

  1. Oct 20, 2015 #1
    1. The problem statement, all variables and given/known data
    upload_2015-10-20_19-48-36.png

    2. Relevant equations
    n/a

    3. The attempt at a solution
    ##y'=f(x.y)## is a function of two variables. ##y=y(x)## is a function of only one variable. How can they be related? Clearly ##y(x) = f(x) \neq f(x,y)##
    Thanks
     
  2. jcsd
  3. Oct 20, 2015 #2
    Perhaps ##f(x) \neq y(x)##
     
  4. Oct 20, 2015 #3

    Mark44

    Staff: Mentor

    The right side of the differential equation y' = f(x, y) involves expressions in both x and y. For example, something like y' = 2x + 3y. Here f is a function that maps a pair of numbers (x, y) to 2x + 3y.

    We generally assume that y is related to x in some way.
    Correct.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: Functions of more than one variable nomenclature
  1. More than one tangent (Replies: 8)

Loading...