Notation question for an ODE

Gold Member
Hi PF!

Suppost I had some differential equation, say $$y'(x) + axy(x) +7a =0$$ where ##y=f(x)## and ##a## is some parameter. How do you reference this differential equation with different ##a## values are plugged in? Would I say $$F(x,y;a) \equiv y'(x) + axy(x) +7a =0$$ and then when referencing an ##a## value of ##12## simply say ##F(x,y;12)##?

Thanks