a_{y} = \frac{d^{2}y}{dt^{2}} =

y(t) = A cos (ωt + ϕ)

\frac{d f(x)}{dx} = A

\frac{d f(x)}{dx} = 0

\frac{d f(x)}{dx} = f(x)

\frac{d f(x)}{dx} = −f(x)

\frac{d f(x)}{dx} = Af(x)

\frac{d^{2} f(x)}{dx^{2}} = 0

\frac{d^{2} f(x)}{dx^{2}} = A

\frac{d^{2} f(x)}{dx^{2}} = Af(x)

\frac{d^{2} f(x)}{dx^{2}} = −Af(x)