I often find differential equation written in function notation:
I know it might be a trivial question,but....
Is this notation possible for every differential equation?
I often find differential equation written in function notation:
I know it might be a trivial question,but....
Is this notation possible for every differential equation?
Yes.
An equation is just a function of several variables $f(x,y,z,w,t,\cdots,k)$ set equal to zero, or even a constant.
For a differential equation, the variables include derivatives (partial or ordinary) of other variables.