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Home/ Questions/Q 8995051
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Editorial Team
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Editorial Team
Asked: June 15, 20262026-06-15T23:33:52+00:00 2026-06-15T23:33:52+00:00

Can someone please tell me is there a way to solve difference equation e.g:

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Can someone please tell me is there a way to solve difference equation e.g:

y(k) = a1 * y(k-1) + a2 * y(k-2) + b0*u(k)

in Matlab using Symbolic Toolbox? I want to find explicit solution of this equation.

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  1. Editorial Team
    Editorial Team
    2026-06-15T23:33:54+00:00Added an answer on June 15, 2026 at 11:33 pm

    From this source, there are 2 methods:

    • Apply Z transform, solve for X(z), then find inverse Z transform look up tables if needed.

    • Write y(n)=r^n, to get the auxiliary equation, solve for homogeneous part first.

      r^n = a1*r(n-1) + a2*r^(n-2) 
      

    Bottom line is, there isn’t a good method to solve difference equations in Matlab now.

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