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Homework Help: Functions of more than one variable nomenclature

  1. Oct 20, 2015 #1
    1. The problem statement, all variables and given/known data

    2. Relevant equations

    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)##
  2. jcsd
  3. Oct 20, 2015 #2
    Perhaps ##f(x) \neq y(x)##
  4. Oct 20, 2015 #3


    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.
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