mecànica

m·d_{t}[x(t)] = a·( x(t) )^{(2/3)}

d_{tt}^{2}[x(t)] = (a/m)·(2/3)·( x(t) )^{(-1)·(1/3)}·d_{t}[x(t)]

d_{tt}^{2}[x(t)]^{2} = (a/m)^{3}·(4/9)·d_{t}[x(t)]

d_{tt}^{2}[x(t)]·d_{t}[x(t)]^{(-1)·(1/2)} = (a/m)^{(3/2)}·(2/3)

d_{t}[x(t)]^{(1/2)} = (1/3)·(a/m)^{(3/2)}·t

d_{t}[x(t)] = (1/9)·(a/m)^{3}·t^{2}

x(t) = (1/27)·(a/m)^{3}·t^{3}

d_{tt}^{2}[x(t)] = (2/9)·(a/m)^{3}·t

(1/2)·d_{t}[x(t)]^{2} = (1/2)·(1/81)·(a/m)^{6}·t^{4}