Lagranià del n-motor eléctric

m^{n}·( d_{tt}^{2}[x]+d_{tt}^{2}[y] )^{n} = (ns)^{n}·(x+y)^{n}


x(t) = E·cos( ((ns)/m)^{(1/2)}·t )
y(t) = E·sin( ((ns)/m)^{(1/2)}·t )


m·( d_{tt}^{2}[x]+d_{tt}^{2}[y] ) = (ns)·(x+y)^{n}


(m/2)·d_{t}[(x+y)]^{2} = (ns)·(1/(n+1))·(x+y)^{(n+1)}


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


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