(15) y^(11) + y^(10) - 11y^(9) - 11y^(8) + 43y^(7) + 43y^(6) - 73y^(5) - 73y^(4) + 56y” - 16y' -

Name: (15) y^(11) + y^(10) - 11y^(9) - 11y^(8) + 43y^(7) + 43y^(6) - 73y^(5) - 73y^(4) + 56y” - 16y' - y = 0
Uploaded: 2024-02-04T15:13:28-08:00
Duration: 2 min 16 s
Channel: Shu Naito
Description: (15) y^(11) + y^(10) - 11y^(9) - 11y^(8) + 43y^(7) + 43y^(6) - 73y^(5) - 73y^(4) + 56y” - 16y' - y = 0

Question

(15) y^(11) + y^(10) - 11y^(9) - 11y^(8) + 43y^(7) + 43y^(6) - 73y^(5) - 73y^(4) + 56y” - 16y&#x27; -

Shu Naito · Accepted Answer

Step 1: This is a linear homogeneous difference equation with constant coefficients.

Question

\( (15) y^{(11)} + y^{(10)} - 11y^{(9)} - 11y^{(8)} + 43y^{(7)} + 43y^{(6)} - 73y^{(5)} - 73y^{(4)} + 56y'' - 16y' - y = 0 \)

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