# Math Help - diff equation last step of the solution

1. ## diff equation last step of the solution

after solving a long diff question i got

0.5*u(t+1)-0.5*u(t-1)

where u(t) is a step function for t>=0 its 1
and t<0 its 0

my expression looks pretty finite to me

how to continue??

2. Originally Posted by transgalactic
after solving a long diff question i got

0.5*u(t+1)-0.5*u(t-1)

where u(t) is a step function for t>=0 its 1
and t<0 its 0

my expression looks pretty finite to me

how to continue??
Continue how, it looks satisfactory to me (at least as a function definition).

Though I would be wary of this as a solution of a differential equation as it has no derivative in the conventional sense at $t=\pm 1$.

CB

3. Could you furnish the original question?

It appears the original DE is non-homogeneous with the forcing term
involving delta functions?