ecuacions en succesions de funcions

y_{k+1}(x)+y_{k+(-1)}(x) = 2·cos(x)·( y_{k}(x) )

y_{k}(x) = sin(kx) || y_{k}(x) = cos(kx)

y_{k+1}(x)+y_{(-k)+1}(x) = 2·sin(x)·( y_{k}(x) )

y_{k}(x) = sin(kx) || y_{k}(x) = cos(kx)

y_{k+1}(x)+y_{k+(-1)}(x) = 2·( y_{k}(x) )

y_{k}(x) = k·f(x)

y_{k+2}(x)+(-1)·y_{k+1}(x) = 2·( y_{k}(x) )

y_{k}(x) = 2^{k}·f(x)

y_{k+1}(x)+(-1)·y_{k}(x) = 2·( y_{k}(x) )

y_{k}(x) = 3^{k}·f(x)

y_{k+3}(x)+(-1)·y_{k+2}(x) = 4·( y_{k}(x) )

y_{k}(x) = 2^{k}·f(x)

y_{k+2}(x)+(-1)·y_{k+1}(x) = 6·( y_{k}(x) )

y_{k}(x) = 3^{k}·f(x)