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Math Help - diff equation last step of the solution

  1. #1
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    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??
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by transgalactic View Post
    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
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  3. #3
    MHF Contributor Calculus26's Avatar
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    Could you furnish the original question?

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