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Homework Help: I can't remember what type of differential equation this is or how to solve it

  1. Nov 4, 2008 #1
    1. The problem statement, all variables and given/known data
    I have a differential equation of the form:
    dA/dx = ab + kA

    and I need to solve it

    2. Relevant equations

    3. The attempt at a solution
    I've started it by moving the right hand side of the equation to the bottom of the left hand side and the bottom of the left to the right. I can recognise that this will probably take the form of an exponential in the final answer, but I can't see how you get to that as the bottom of the l.h.s isn't a simple function of A. How do I go about solving this kind of DE? Is it the same as if it didnt have the constant terms in it?
  2. jcsd
  3. Nov 4, 2008 #2


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    Homework Helper
    Gold Member

    Are k,a, and b constants?...If so your equation is separable...just multiply both sides by dx/(ab+kA)...what do you see?
  4. Nov 4, 2008 #3
    Yeah I think I worked out how to do it on my walk home from uni - I think I'd forgotten how to integrate functions of the type 1/(x+1) which I can now see it is!
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