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

[Brewer]

Homework Statement

I have a differential equation of the form:
dA/dx = ab + kA

and I need to solve it

Homework Equations

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?

 

[gabbagabbahey]

Are k,a, and b constants?...If so your equation is separable...just multiply both sides by dx/(ab+kA)...what do you see?

 

[Brewer]

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!