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Basic question about differential equation

  1. Sep 10, 2012 #1
    1. The problem statement, all variables and given/known data
    dy/dx +y=x


    2. Relevant equations

    none

    3. The attempt at a solution

    We know that x is the independent variable because y is differentiate with respect to it. And y is the dependent variable. Just wondering do you guys know why y is always a function of x in these kinds of differential equation? I got confuse when somebody write like dy(x)/dx+y(x)=x. How do you know y is always a function of x?

    Thank you
     
  2. jcsd
  3. Sep 11, 2012 #2
    It's usually understood what the independent variable is in a given differential equation from the context; often it's either x or t when dealing with one independent variable.
     
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