We say that the equation a= ω2x defines simple harmonic motion - it tells us what is required if a body is to perform s.h.m. The equation x= xosinωt is then described as a solution to the equation, since it tells us how the displacement of the body varies with time. If you have studied calculus you may be able to differentiate the equation for x twice with respect to time to obtain an equation for acceleration and thereby show that the defining equation a = -ω2x is satisfied.
2. The attempt at a solution
I haven't done calculus as I haven't taken Math as a subject. I wanted to ask if it would be possible to understand that statement without taking calculus. Or if someone could explain to me what the whole point of the statement is. I really don't get it at all. Do tell me if I have to study a bit of calculus to understand this, because I will if I have to. Thanks :)