Basic question about differential equation

  • Thread starter kougou
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  • #1
kougou
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Homework Statement


dy/dx +y=x


Homework Equations



none

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
 

Answers and Replies

  • #2
Bohrok
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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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