derivada imperial

d_{x...x}^{(n/m)}[y(x)] = ( d_{x...x}^{n}[y(x)] )^{(1/m^{n})}

d_{x...x}^{(n/m)}[c[n](ax)] = ( (-1)·c[n](ax)·a^{n} )^{(1/m^{n})}

d_{x...x}^{(n/m)}[ch[n](ax)] = ( ch[n](ax)·a^{n} )^{(1/m^{n})}

d_{x...x}^{(n/m)}[y(x)]^{m^{n}}+( a^{n}·y(x) ) = 0

y(x) = c[n](at)

d_{x...x}^{(n/m)}[y(x)]^{m^{n}}+(-1)·( a^{n}·y(x) ) = 0

y(x) = ch[n](at)

d_{x...x}^{(n/m)}[y(x)]^{m^{n}}+( a^{n}·y(x) ) = ( c[n](bt) )

y(x) = ( 1/(a^{n}+(-1)·b^{n}) )·c[n](bt)

d_{x...x}^{(n/m)}[y(x)]^{m^{n}}+(-1)·( a^{n}·y(x) ) = ( ch[n](bt) )

y(x) = ( 1/(b^{n}+(-1)·a^{n}) )·ch[n](bt)

d_{x...x}^{(n/m)}[y(x)]+( a^{n}·y(x) )^{(1/m^{n})} = 0

y(x) = ch[n]( (-1)^{(m^{n}/n)}·at )

d_{x...x}^{(n/m)}[y(x)]+(-1)·( a^{n}·y(x) )^{(1/m^{n})} = 0

y(x) = ch[n](at)

d_{x...x}^{(n/m)}[y(x)]+( a^{n}·y(x) )^{(1/m^{n})} = ( ch[n]( (-1)^{(m^{n}/n)}bt ) )^{(1/m^{n})}

y(x) = ( 1/(a^{(n/m^{n})}+(-1)·b^{(n/m^{n})}) )·ch[n]( (-1)^{(m^{n}/n)}bt )

d_{x...x}^{(n/m)}[y(x)]+(-1)·( a^{n}·y(x) )^{(1/m^{n})} = ( ch[n](bt) )^{(1/m^{n})}

y(x) = ( 1/(b^{(n/m^{n})}+(-1)·a^{(n/m^{n})}) )·ch[n](bt)