lagranians de camps

d_{tt}^{2}[x(t)] = (kpq/m)·(x^{n}/(ct)^{n})

x(t) = ( ( (kpq)/m )^{(1/2)}·t )^{( (n+(-2))/(n+(-1)) )}

c = ( (kpq)/m )^{(1/2)} <===> mc^{2} = kpq

d_{tt}^{2}[x(t)] = (-1)·(kpq/m)·(x^{n}/(ct)^{n})

x(t) = ( i·( (kpq)/m )^{(1/2)}·t )^{( (n+(-2))/(n+(-1)) )}

c = i·( (kpq)/m )^{(1/2)} <===> mc^{2} = (-1)·kpq

k+(-2) = kn+(-n)

k = (n+(-2))/(n+(-1))

((-n)/(n+(-1))) = ((n+(-2))·n)/(n+(-1))+(-n)(n+(-1))/(n+(-1))